Dual Laplacian editing for meshes

IEEE Transactions on Visualization and Computer Graphics
Oscar Kin-Chung AuHongbo Fu

Abstract

Recently, differential information as local intrinsic feature descriptors has been used for mesh editing. Given certain user input as constraints, a deformed mesh is reconstructed by minimizing the changes in the differential information. Since the differential information is encoded in a global coordinate system, it must somehow be transformed to fit the orientations of details in the deformed surface, otherwise distortion will appear. We observe that visually pleasing deformed meshes should preserve both local parameterization and geometry details. We propose to encode these two types of information in the dual mesh domain due to the simplicity of the neighborhood structure of dual mesh vertices. Both sets of information are nondirectional and nonlinearly dependent on the vertex positions. Thus, we present a novel editing framework that iteratively updates both the primal vertex positions and the dual Laplacian coordinates to progressively reduce distortion in parametrization and geometry. Unlike previous related work, our method can produce visually pleasing deformations with simple user interaction, requiring only the handle positions, not local frames at the handles.

References

Mar 1, 2003·Aesthetic Surgery Journal·Luiz S Toledo

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Citations

Sep 12, 2015·IEEE Transactions on Visualization and Computer Graphics·Yu-Wei ZhangLi-Li Zhang
Mar 29, 2008·IEEE Transactions on Visualization and Computer Graphics·Chunlin WuFalai Chen
Nov 13, 2007·IEEE Transactions on Visualization and Computer Graphics·Mario Botsch, Olga Sorkine
Jun 16, 2010·IEEE Transactions on Visualization and Computer Graphics·Richard Southern, Jian J Zhang
Dec 15, 2010·IEEE Transactions on Visualization and Computer Graphics·Guofeng ZhangHujun Bao
Oct 13, 2010·IEEE Transactions on Visualization and Computer Graphics·I-Cheng YehTong-Yee Lee
Feb 17, 2017·IEEE Transactions on Medical Imaging·Bulat IbragimovTomaz Vrtovec
Feb 27, 2015·Physics in Medicine and Biology·A C da S Senra FilhoL O Murta Junior

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