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Exploring local modifications for constrained meshes (2013)
| Venue: | COMPUTER GRAPHICS FORUM (PROCEEDINGS OF EUROGRAPHICS 2013 |
| Citations: | 10 - 2 self |
BibTeX
@INPROCEEDINGS{Deng13exploringlocal,
author = {Bailin Deng and Sofien Bouaziz and Mario Deuss and Juyong Zhang and Yuliy Schwartzburg and Mark Pauly},
title = {Exploring local modifications for constrained meshes},
booktitle = {COMPUTER GRAPHICS FORUM (PROCEEDINGS OF EUROGRAPHICS 2013},
year = {2013},
publisher = {}
}
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Abstract
Mesh editing under constraints is a challenging task with numerous applications in geometric modeling, industrial design, and architectural form finding. Recent methods support constraint-based exploration of meshes with fixed connectivity, but commonly lack local control. Because constraints are often globally coupled, a local modification by the user can have global effects on the surface, making iterative design exploration and refinement difficult. Simply fixing a local region of interest a priori is problematic, as it is not clear in advance which parts of the mesh need to be modified to obtain an aesthetically pleasing solution that satisfies all constraints. We propose a novel framework for exploring local modifications of constrained meshes. Our solution consists of three steps. First, a user specifies target positions for one or more vertices. Our algorithm computes a sparse set of displacement vectors that satisfies the constraints and yields a smooth deformation. Then we build a linear subspace to allow realtime exploration of local variations that satisfy the constraints approximately. Finally, after interactive exploration, the result is optimized to fully satisfy the set of constraints. We evaluate our framework on meshes where each face is constrained to be planar.
Keyphrases
local modification constrained mesh numerous application iterative design exploration sparse set local region interactive exploration linear subspace fixed connectivity planar quad central zone realtime exploration recent method support constraint-based exploration industrial design novel framework pleasing solution displacement vector architectural form finding target position glass structure local planar modification local control mesh need local variation smooth deformation global effect geometric modeling
