http://wiki.geodynamics.umaine.edu/index.php?action=history&feed=atom&title=Topographic_Anisotropy_Figure_1Topographic Anisotropy Figure 1 - Revision history2026-10-29T18:57:36ZRevision history for this page on the wikiMediaWiki 1.30.0http://wiki.geodynamics.umaine.edu/index.php?title=Topographic_Anisotropy_Figure_1&diff=4491&oldid=prevLiam at 13:32, 11 April 20182018-04-11T13:32:53Z<p></p>
<table class="diff diff-contentalign-left" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr style="vertical-align: top;" lang="en">
<td colspan="2" style="background-color: white; color:black; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 13:32, 11 April 2018</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Line 1:</td>
<td colspan="2" class="diff-lineno">Line 1:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>[[File:Vario figures copy Page 01.png|750px|center]]</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>[[File:Vario figures copy Page 01.png|750px|center]]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>'''Figure 1'''<del class="diffchange diffchange-inline">: A) </del>An example grid in which we apply our variance algorithm. Starting at  with separation distance equal to the grid resolution, calculate variance between center point and points 0˚ and 180˚ and separation distance 1 away from center (red arrows). Also calculate variance for points orthogonal to 0˚ and 180˚ (blue arrows). B) Separation distance is doubled and variance values are calculated for the new scale. The variance for this scale is the average of the new variance and the variance calculated at the previous separation distance. C) Variance is now measured for  and  . The new variance value does not exceed the previously calculated value at the given scale and is therefore not used to measure anisotropy. D) The calculation is repeated at the second scale, variance is less than the previous calculation and so is now used to measure anisotropy for s = 2. E) Anisotropy is taken by dividing the minimum variance from the variance value measured at a perpendicular angle. The anisotropy value is the magnitude difference in variance for the two perpendicular directions, represented by an ellipse in the figure. F) The azimuth and magnitude of anisotropy is measured over multiple scales. Red ellipses represent topographic anisotropy magnitude (ellipticity), orientation (direction of semimajor axis), and wavelength (length of semimajor axis).</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>'''Figure 1<ins class="diffchange diffchange-inline">: A)</ins>''' An example grid in which we apply our variance algorithm. Starting at  with separation distance equal to the grid resolution, calculate variance between center point and points 0˚ and 180˚ and separation distance 1 away from center (red arrows). Also calculate variance for points orthogonal to 0˚ and 180˚ (blue arrows).  </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">'''</ins>B)<ins class="diffchange diffchange-inline">''' </ins>Separation distance is doubled and variance values are calculated for the new scale. The variance for this scale is the average of the new variance and the variance calculated at the previous separation distance.  </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">'''</ins>C)<ins class="diffchange diffchange-inline">''' </ins>Variance is now measured for  and  . The new variance value does not exceed the previously calculated value at the given scale and is therefore not used to measure anisotropy.  </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">'''</ins>D)<ins class="diffchange diffchange-inline">''' </ins>The calculation is repeated at the second scale, variance is less than the previous calculation and so is now used to measure anisotropy for s = 2. <ins class="diffchange diffchange-inline"> </ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">'''</ins>E)<ins class="diffchange diffchange-inline">''' </ins>Anisotropy is taken by dividing the minimum variance from the variance value measured at a perpendicular angle. The anisotropy value is the magnitude difference in variance for the two perpendicular directions, represented by an ellipse in the figure. F) The azimuth and magnitude of anisotropy is measured over multiple scales. Red ellipses represent topographic anisotropy magnitude (ellipticity), orientation (direction of semimajor axis), and wavelength (length of semimajor axis).</div></td></tr>
</table>Liamhttp://wiki.geodynamics.umaine.edu/index.php?title=Topographic_Anisotropy_Figure_1&diff=296&oldid=prevNick at 19:13, 13 March 20152015-03-13T19:13:32Z<p></p>
<table class="diff diff-contentalign-left" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr style="vertical-align: top;" lang="en">
<td colspan="2" style="background-color: white; color:black; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 19:13, 13 March 2015</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Line 1:</td>
<td colspan="2" class="diff-lineno">Line 1:</td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[File:Vario figures copy Page 01.png|<del class="diffchange diffchange-inline">700px</del>|center]]</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[File:Vario figures copy Page 01.png|<ins class="diffchange diffchange-inline">750px</ins>|center]]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>'''Figure 1''': A) An example grid in which we apply our variance algorithm. Starting at  with separation distance equal to the grid resolution, calculate variance between center point and points 0˚ and 180˚ and separation distance 1 away from center (red arrows). Also calculate variance for points orthogonal to 0˚ and 180˚ (blue arrows). B) Separation distance is doubled and variance values are calculated for the new scale. The variance for this scale is the average of the new variance and the variance calculated at the previous separation distance. C) Variance is now measured for  and  . The new variance value does not exceed the previously calculated value at the given scale and is therefore not used to measure anisotropy. D) The calculation is repeated at the second scale, variance is less than the previous calculation and so is now used to measure anisotropy for s = 2. E) Anisotropy is taken by dividing the minimum variance from the variance value measured at a perpendicular angle. The anisotropy value is the magnitude difference in variance for the two perpendicular directions, represented by an ellipse in the figure. F) The azimuth and magnitude of anisotropy is measured over multiple scales. Red ellipses represent topographic anisotropy magnitude (ellipticity), orientation (direction of semimajor axis), and wavelength (length of semimajor axis).</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>'''Figure 1''': A) An example grid in which we apply our variance algorithm. Starting at  with separation distance equal to the grid resolution, calculate variance between center point and points 0˚ and 180˚ and separation distance 1 away from center (red arrows). Also calculate variance for points orthogonal to 0˚ and 180˚ (blue arrows). B) Separation distance is doubled and variance values are calculated for the new scale. The variance for this scale is the average of the new variance and the variance calculated at the previous separation distance. C) Variance is now measured for  and  . The new variance value does not exceed the previously calculated value at the given scale and is therefore not used to measure anisotropy. D) The calculation is repeated at the second scale, variance is less than the previous calculation and so is now used to measure anisotropy for s = 2. E) Anisotropy is taken by dividing the minimum variance from the variance value measured at a perpendicular angle. The anisotropy value is the magnitude difference in variance for the two perpendicular directions, represented by an ellipse in the figure. F) The azimuth and magnitude of anisotropy is measured over multiple scales. Red ellipses represent topographic anisotropy magnitude (ellipticity), orientation (direction of semimajor axis), and wavelength (length of semimajor axis).</div></td></tr>
</table>Nickhttp://wiki.geodynamics.umaine.edu/index.php?title=Topographic_Anisotropy_Figure_1&diff=293&oldid=prevNick at 19:11, 13 March 20152015-03-13T19:11:58Z<p></p>
<table class="diff diff-contentalign-left" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr style="vertical-align: top;" lang="en">
<td colspan="2" style="background-color: white; color:black; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 19:11, 13 March 2015</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Line 1:</td>
<td colspan="2" class="diff-lineno">Line 1:</td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[File:Vario figures copy Page 01.png|<del class="diffchange diffchange-inline">600px</del>|center]]</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[File:Vario figures copy Page 01.png|<ins class="diffchange diffchange-inline">700px</ins>|center]]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>'''Figure 1''': A) An example grid in which we apply our variance algorithm. Starting at  with separation distance equal to the grid resolution, calculate variance between center point and points 0˚ and 180˚ and separation distance 1 away from center (red arrows). Also calculate variance for points orthogonal to 0˚ and 180˚ (blue arrows). B) Separation distance is doubled and variance values are calculated for the new scale. The variance for this scale is the average of the new variance and the variance calculated at the previous separation distance. C) Variance is now measured for  and  . The new variance value does not exceed the previously calculated value at the given scale and is therefore not used to measure anisotropy. D) The calculation is repeated at the second scale, variance is less than the previous calculation and so is now used to measure anisotropy for s = 2. E) Anisotropy is taken by dividing the minimum variance from the variance value measured at a perpendicular angle. The anisotropy value is the magnitude difference in variance for the two perpendicular directions, represented by an ellipse in the figure. F) The azimuth and magnitude of anisotropy is measured over multiple scales. Red ellipses represent topographic anisotropy magnitude (ellipticity), orientation (direction of semimajor axis), and wavelength (length of semimajor axis).</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>'''Figure 1''': A) An example grid in which we apply our variance algorithm. Starting at  with separation distance equal to the grid resolution, calculate variance between center point and points 0˚ and 180˚ and separation distance 1 away from center (red arrows). Also calculate variance for points orthogonal to 0˚ and 180˚ (blue arrows). B) Separation distance is doubled and variance values are calculated for the new scale. The variance for this scale is the average of the new variance and the variance calculated at the previous separation distance. C) Variance is now measured for  and  . The new variance value does not exceed the previously calculated value at the given scale and is therefore not used to measure anisotropy. D) The calculation is repeated at the second scale, variance is less than the previous calculation and so is now used to measure anisotropy for s = 2. E) Anisotropy is taken by dividing the minimum variance from the variance value measured at a perpendicular angle. The anisotropy value is the magnitude difference in variance for the two perpendicular directions, represented by an ellipse in the figure. F) The azimuth and magnitude of anisotropy is measured over multiple scales. Red ellipses represent topographic anisotropy magnitude (ellipticity), orientation (direction of semimajor axis), and wavelength (length of semimajor axis).</div></td></tr>
</table>Nickhttp://wiki.geodynamics.umaine.edu/index.php?title=Topographic_Anisotropy_Figure_1&diff=292&oldid=prevNick at 19:11, 13 March 20152015-03-13T19:11:38Z<p></p>
<table class="diff diff-contentalign-left" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr style="vertical-align: top;" lang="en">
<td colspan="2" style="background-color: white; color:black; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 19:11, 13 March 2015</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Line 1:</td>
<td colspan="2" class="diff-lineno">Line 1:</td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[File:Vario figures copy Page 01.png|center]]</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[File:Vario figures copy Page 01.png<ins class="diffchange diffchange-inline">|600px</ins>|center]]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>'''Figure 1''': A) An example grid in which we apply our variance algorithm. Starting at  with separation distance equal to the grid resolution, calculate variance between center point and points 0˚ and 180˚ and separation distance 1 away from center (red arrows). Also calculate variance for points orthogonal to 0˚ and 180˚ (blue arrows). B) Separation distance is doubled and variance values are calculated for the new scale. The variance for this scale is the average of the new variance and the variance calculated at the previous separation distance. C) Variance is now measured for  and  . The new variance value does not exceed the previously calculated value at the given scale and is therefore not used to measure anisotropy. D) The calculation is repeated at the second scale, variance is less than the previous calculation and so is now used to measure anisotropy for s = 2. E) Anisotropy is taken by dividing the minimum variance from the variance value measured at a perpendicular angle. The anisotropy value is the magnitude difference in variance for the two perpendicular directions, represented by an ellipse in the figure. F) The azimuth and magnitude of anisotropy is measured over multiple scales. Red ellipses represent topographic anisotropy magnitude (ellipticity), orientation (direction of semimajor axis), and wavelength (length of semimajor axis).</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>'''Figure 1''': A) An example grid in which we apply our variance algorithm. Starting at  with separation distance equal to the grid resolution, calculate variance between center point and points 0˚ and 180˚ and separation distance 1 away from center (red arrows). Also calculate variance for points orthogonal to 0˚ and 180˚ (blue arrows). B) Separation distance is doubled and variance values are calculated for the new scale. The variance for this scale is the average of the new variance and the variance calculated at the previous separation distance. C) Variance is now measured for  and  . The new variance value does not exceed the previously calculated value at the given scale and is therefore not used to measure anisotropy. D) The calculation is repeated at the second scale, variance is less than the previous calculation and so is now used to measure anisotropy for s = 2. E) Anisotropy is taken by dividing the minimum variance from the variance value measured at a perpendicular angle. The anisotropy value is the magnitude difference in variance for the two perpendicular directions, represented by an ellipse in the figure. F) The azimuth and magnitude of anisotropy is measured over multiple scales. Red ellipses represent topographic anisotropy magnitude (ellipticity), orientation (direction of semimajor axis), and wavelength (length of semimajor axis).</div></td></tr>
</table>Nickhttp://wiki.geodynamics.umaine.edu/index.php?title=Topographic_Anisotropy_Figure_1&diff=163&oldid=prevNick at 16:59, 10 March 20152015-03-10T16:59:15Z<p></p>
<table class="diff diff-contentalign-left" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr style="vertical-align: top;" lang="en">
<td colspan="2" style="background-color: white; color:black; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 16:59, 10 March 2015</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Line 1:</td>
<td colspan="2" class="diff-lineno">Line 1:</td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[File:Vario figures copy Page 01.png]]</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[File:Vario figures copy Page 01.png<ins class="diffchange diffchange-inline">|center</ins>]]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>'''Figure 1''': A) An example grid in which we apply our variance algorithm. Starting at  with separation distance equal to the grid resolution, calculate variance between center point and points 0˚ and 180˚ and separation distance 1 away from center (red arrows). Also calculate variance for points orthogonal to 0˚ and 180˚ (blue arrows). B) Separation distance is doubled and variance values are calculated for the new scale. The variance for this scale is the average of the new variance and the variance calculated at the previous separation distance. C) Variance is now measured for  and  . The new variance value does not exceed the previously calculated value at the given scale and is therefore not used to measure anisotropy. D) The calculation is repeated at the second scale, variance is less than the previous calculation and so is now used to measure anisotropy for s = 2. E) Anisotropy is taken by dividing the minimum variance from the variance value measured at a perpendicular angle. The anisotropy value is the magnitude difference in variance for the two perpendicular directions, represented by an ellipse in the figure. F) The azimuth and magnitude of anisotropy is measured over multiple scales. Red ellipses represent topographic anisotropy magnitude (ellipticity), orientation (direction of semimajor axis), and wavelength (length of semimajor axis).</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>'''Figure 1''': A) An example grid in which we apply our variance algorithm. Starting at  with separation distance equal to the grid resolution, calculate variance between center point and points 0˚ and 180˚ and separation distance 1 away from center (red arrows). Also calculate variance for points orthogonal to 0˚ and 180˚ (blue arrows). B) Separation distance is doubled and variance values are calculated for the new scale. The variance for this scale is the average of the new variance and the variance calculated at the previous separation distance. C) Variance is now measured for  and  . The new variance value does not exceed the previously calculated value at the given scale and is therefore not used to measure anisotropy. D) The calculation is repeated at the second scale, variance is less than the previous calculation and so is now used to measure anisotropy for s = 2. E) Anisotropy is taken by dividing the minimum variance from the variance value measured at a perpendicular angle. The anisotropy value is the magnitude difference in variance for the two perpendicular directions, represented by an ellipse in the figure. F) The azimuth and magnitude of anisotropy is measured over multiple scales. Red ellipses represent topographic anisotropy magnitude (ellipticity), orientation (direction of semimajor axis), and wavelength (length of semimajor axis).</div></td></tr>
</table>Nickhttp://wiki.geodynamics.umaine.edu/index.php?title=Topographic_Anisotropy_Figure_1&diff=162&oldid=prevNick at 16:58, 10 March 20152015-03-10T16:58:57Z<p></p>
<table class="diff diff-contentalign-left" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr style="vertical-align: top;" lang="en">
<td colspan="2" style="background-color: white; color:black; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 16:58, 10 March 2015</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Line 1:</td>
<td colspan="2" class="diff-lineno">Line 1:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>[[File:Vario figures copy Page 01.png]]</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>[[File:Vario figures copy Page 01.png]]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Figure 1: A) An example grid in which we apply our variance algorithm. Starting at  with separation distance equal to the grid resolution, calculate variance between center point and points 0˚ and 180˚ and separation distance 1 away from center (red arrows). Also calculate variance for points orthogonal to 0˚ and 180˚ (blue arrows). B) Separation distance is doubled and variance values are calculated for the new scale. The variance for this scale is the average of the new variance and the variance calculated at the previous separation distance. C) Variance is now measured for  and  . The new variance value does not exceed the previously calculated value at the given scale and is therefore not used to measure anisotropy. D) The calculation is repeated at the second scale, variance is less than the previous calculation and so is now used to measure anisotropy for s = 2. E) Anisotropy is taken by dividing the minimum variance from the variance value measured at a perpendicular angle. The anisotropy value is the magnitude difference in variance for the two perpendicular directions, represented by an ellipse in the figure. F) The azimuth and magnitude of anisotropy is measured over multiple scales. Red ellipses represent topographic anisotropy magnitude (ellipticity), orientation (direction of semimajor axis), and wavelength (length of semimajor axis).</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">'''</ins>Figure 1<ins class="diffchange diffchange-inline">'''</ins>: A) An example grid in which we apply our variance algorithm. Starting at  with separation distance equal to the grid resolution, calculate variance between center point and points 0˚ and 180˚ and separation distance 1 away from center (red arrows). Also calculate variance for points orthogonal to 0˚ and 180˚ (blue arrows). B) Separation distance is doubled and variance values are calculated for the new scale. The variance for this scale is the average of the new variance and the variance calculated at the previous separation distance. C) Variance is now measured for  and  . The new variance value does not exceed the previously calculated value at the given scale and is therefore not used to measure anisotropy. D) The calculation is repeated at the second scale, variance is less than the previous calculation and so is now used to measure anisotropy for s = 2. E) Anisotropy is taken by dividing the minimum variance from the variance value measured at a perpendicular angle. The anisotropy value is the magnitude difference in variance for the two perpendicular directions, represented by an ellipse in the figure. F) The azimuth and magnitude of anisotropy is measured over multiple scales. Red ellipses represent topographic anisotropy magnitude (ellipticity), orientation (direction of semimajor axis), and wavelength (length of semimajor axis).</div></td></tr>
</table>Nickhttp://wiki.geodynamics.umaine.edu/index.php?title=Topographic_Anisotropy_Figure_1&diff=161&oldid=prevNick at 16:58, 10 March 20152015-03-10T16:58:46Z<p></p>
<table class="diff diff-contentalign-left" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr style="vertical-align: top;" lang="en">
<td colspan="2" style="background-color: white; color:black; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 16:58, 10 March 2015</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Line 1:</td>
<td colspan="2" class="diff-lineno">Line 1:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>[[File:Vario figures copy Page 01.png]]</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>[[File:Vario figures copy Page 01.png]]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">Caption</del></div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">Figure 1: A) An example grid in which we apply our variance algorithm. Starting at  with separation distance equal to the grid resolution, calculate variance between center point and points 0˚ and 180˚ and separation distance 1 away from center (red arrows). Also calculate variance for points orthogonal to 0˚ and 180˚ (blue arrows). B) Separation distance is doubled and variance values are calculated for the new scale. The variance for this scale is the average of the new variance and the variance calculated at the previous separation distance. C) Variance is now measured for  and  . The new variance value does not exceed the previously calculated value at the given scale and is therefore not used to measure anisotropy. D) The calculation is repeated at the second scale, variance is less than the previous calculation and so is now used to measure anisotropy for s = 2. E) Anisotropy is taken by dividing the minimum variance from the variance value measured at a perpendicular angle. The anisotropy value is the magnitude difference in variance for the two perpendicular directions, represented by an ellipse in the figure. F) The azimuth and magnitude of anisotropy is measured over multiple scales. Red ellipses represent topographic anisotropy magnitude (ellipticity), orientation (direction of semimajor axis), and wavelength (length of semimajor axis).</ins></div></td></tr>
</table>Nickhttp://wiki.geodynamics.umaine.edu/index.php?title=Topographic_Anisotropy_Figure_1&diff=160&oldid=prevNick at 16:57, 10 March 20152015-03-10T16:57:31Z<p></p>
<table class="diff diff-contentalign-left" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr style="vertical-align: top;" lang="en">
<td colspan="2" style="background-color: white; color:black; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 16:57, 10 March 2015</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Line 1:</td>
<td colspan="2" class="diff-lineno">Line 1:</td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">[[File:Vario figures copy Page 01.png]]</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Caption</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Caption</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"></del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[File:Vario figures copy Page 01.png]]</del></div></td><td colspan="2"> </td></tr>
</table>Nickhttp://wiki.geodynamics.umaine.edu/index.php?title=Topographic_Anisotropy_Figure_1&diff=159&oldid=prevNick at 16:57, 10 March 20152015-03-10T16:57:08Z<p></p>
<table class="diff diff-contentalign-left" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr style="vertical-align: top;" lang="en">
<td colspan="2" style="background-color: white; color:black; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 16:57, 10 March 2015</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Line 1:</td>
<td colspan="2" class="diff-lineno">Line 1:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Caption</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Caption</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">[[File:Vario figures copy Page 01.png]]</ins></div></td></tr>
</table>Nickhttp://wiki.geodynamics.umaine.edu/index.php?title=Topographic_Anisotropy_Figure_1&diff=154&oldid=prevNick: Created page with "Caption"2015-03-10T16:50:20Z<p>Created page with "Caption"</p>
<p><b>New page</b></p><div>Caption</div>Nick