Flow Field Clustering via Algebraic Multigrid
VIS '04 Proceedings of the conference on Visualization '04
A fast multigrid algorithm for mesh deformation
ACM SIGGRAPH 2006 Papers
Robust Feature Classification and Editing
IEEE Transactions on Visualization and Computer Graphics
Principal curvatures from the integral invariant viewpoint
Computer Aided Geometric Design
Integral invariants for robust geometry processing
Computer Aided Geometric Design
A parallel multigrid Poisson solver for fluids simulation on large grids
Proceedings of the 2010 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Local shape descriptors, a survey and evaluation
EG 3DOR'11 Proceedings of the 4th Eurographics conference on 3D Object Retrieval
Computing variation modes for point set surfaces
SPBG'05 Proceedings of the Second Eurographics / IEEE VGTC conference on Point-Based Graphics
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A novel editing method for large triangular meshes is presented. We detect surface features, such as edge and corners, by computing local zero and first surface moments, using a robust and noise resistant method. The feature detection is encoded in a finite element matrix, passed to an algebraic multigrid (AMG) algorithm. The AMG algorithm generates a matrix hierarchy ranging from fine to coarse representations of the initial fine grid matrix. This hierarchy comes along with a corresponding multiscale of basis functions, which reflect the surface features on all hierarchy levels. We consider either these basis functions or distinct sets from an induced multiscale domain decomposition as handles for surface manipulation. We present a multiscale editor which enables Boolean operations on this domain decomposition and simply algebraic operations on the basis functions. Users can interactively design their favorite surface handles by simple grouping operations on the multiscale of domains. Several applications on large meshes underline the effectiveness and flexibility of the presented tool.