Digital image processing (2nd ed.)
Digital image processing (2nd ed.)
Functional optimization for fair surface design
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Interactive multi-resolution modeling on arbitrary meshes
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Geometry-Aware Bases for Shape Approximation
IEEE Transactions on Visualization and Computer Graphics
Tightening: curvature-limiting morphological simplification
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Mason: morphological simplification
Graphical Models
Spectral sequencing based on graph distance
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Surface- and volume-based techniques for shape modeling and analysis
SIGGRAPH Asia 2013 Courses
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In this paper, we propose efficient numerical techniques for Butterworth filtering and implicit fairing of large irregular triangle meshes, where the corresponding filters are rational polynomials and the resulting large linear systems need to be solved iteratively. We show that significant speed-up can be achieved for Butterworth filtering by factorizing the linear system in the complex domain. As for implicit fairing, with our estimate of the optimal extrapolation parameter 驴, successive overrelaxation (SOR) offers great improvements, both in speed and space usage, over the more familiar conjugate gradient type solvers.