Added and revised figures in the introductory documentation:
- added new pair of figures illustrating the concept of basis functions - updated the Subdivision Surfaces page to insert the new figures - replaced stand-in figures for the animated mesh with three unique poses
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documentation/images/basis_bezier.jpg
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documentation/images/basis_bspline.jpg
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@ -139,8 +139,18 @@ the surface they define compared to the similar Bezier patch. The two patches i
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that example actually represent exactly the same piece of surface -- each with a set
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of control points having different effects on it. In mathematical terms, each control
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point has a "basis function" associated with it that affects the surface in a particular
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way when only that point is moved. It is these basis functions that often give rise
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to the names of the different patches.
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way when only that point is moved:
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+--------------------------------------+--------------------------------------+
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| .. image:: images/basis_bspline.jpg | .. image:: images/basis_bezier.jpg |
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| :align: center | :align: center |
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| :width: 80% | :width: 80% |
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| :target: images/basis_bspline.jpg | :target: images/basis_bezier.jpg |
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| | |
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| Bicubic B-Spline basis function | Bicubic Bezier basis funciton |
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+--------------------------------------+--------------------------------------+
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It is these basis functions that often give rise to the names of the different patches.
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There are pros and cons to these different properties of the control points of patches,
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which become more apparent as we assemble patches into piecewise surfaces.
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@ -635,8 +645,7 @@ involving topology (computing the weights) and combining the data separately.
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| :width: 95% | :width: 95% | :width: 95% |
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| :target: images/data_pose_1.jpg | :target: images/data_pose_2.jpg | :target: images/data_pose_3.jpg |
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+---------------------------------------+---------------------------------------+---------------------------------------+
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| Three shapes resulting from three sets of positions for the a mesh of complex but fixed topology. |
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| (currently stand-in images until we have an animated character approved for publication) |
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| Three shapes resulting from three sets of positions for a mesh of fixed topology. |
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+---------------------------------------+---------------------------------------+---------------------------------------+
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When the topology is fixed, enormous savings are possible by pre-computing information
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