Handle-Aware Isolines for Scalable Shape Editing
Oscar Kin-Chung Au Hongbo Fu Chiew-Lan Tai Daniel Cohen-Or ACM Transaction on Graphics (Proceedings of SIGGRAPH 2007) |
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Teaser: Our method uses handle-aware isolines to build a reduced model.
The three images visualize the isolines and rigidity information both
associated with the handles (in crimson) at the upper jaw (left),
the left fore foot (middle), and the tail (right), respectively.
Note that the isolines respect the handles and the shape geometry.
We associate a transformation to each isoline and identify the transformations
of isolines associated with all the handles as the reduced domain. |
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Abstract
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Handle-based mesh deformation is essentially
a nonlinear problem. To allow scalability, the original deformation
problem can be approximately represented by a compact set of control
variables. We show the direct relation between the locations of handles
on the mesh and the local rigidity under deformation, and introduce the
notion of handle-aware rigidity. Then, we present a reduced
model whose control variables are intelligently distributed across the
surface, respecting the rigidity information and the geometry.
Specifically, for each handle, the control variables are the
transformations of the isolines of a harmonic scalar field representing
the deformation propagation from that handle. The isolines constitute a
virtual skeletal structure similar to the bones in skinning
deformation, thus correctly capturing the low-frequency shape
deformation. To interpolate the transformations from the isolines to
the original mesh, we design a method which is local, linear and
geometry-dependent. This novel interpolation scheme and the
transformation-based reduced domain allow each iteration of the
nonlinear solver to be fully computed over the reduced domain. This
makes the per-iteration cost dependent on only the number of isolines
and enables compelling deformation of highly detailed shapes at
interactive rates. In addition, we show how the handle-driven isolines
provide an efficient means for deformation transfer without full shape
correspondence.
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Keywords
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scalable shape editing, handle-aware, rigidity-aware, harmonic fields, isolines |
Paper
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PDF (4.0M) |
Video
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Snapshot: Watch online:
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BibTeX
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@ARTICLE{Au:2007, author = {Oscar Kin-Chung Au and Hongbo Fu and Chiew-Lan Tai and Daniel Cohen-Or}, title = {Handle-aware isolines for scalable shape editing}, journal = {ACM Transactions on Graphics (Proceedings of SIGGRAPH 2007)}, year = {2007}, volume = {26}, pages = {to appear}, number = {3} } |
See Also
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Oscar Kin-Chung Au, Chiew-Lan Tai, Ligang Liu and Hongbo Fu, Dual Laplacian editing for meshes, IEEE Transaction on Visualization and Computer Graphics (TVCG). 12(3): 386-395, MAY/JUNE 2006. Hongbo Fu, Oscar Kin-Chung Au and Chiew-Lan Tai, Effective derivation of similarity transformations for implicit Laplacian mesh editing, Computer Graphics Forum (CGF) . 26(1): 34-45, March 2007. |