Geometric Signal Processing on Polygonal Meshes

By Gabriel Taubin. Eurographics, 2000

301 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design

View Paper: https://www.semanticscholar.org/paper/b49ad0c61dea14949a72143bb032d559153d62b6

How researchers see this paper

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In Computational Mechanics

In Computer Graphics and Computer-Aided Design

Citations in the corpus

Laplacian Mesh Processing (2005, background): “See also [Tau00] for an earlier state-of-the-art report on this subject.”
Sparse Shape Representation using the Laplace-Beltrami Eigenfunctions and Its Application to Modeling Subcortical Structures (2012, background): “Many previous surface data smoothing approaches have used heat diffusion type of smoothing to reduce surface noise [3, 7, 18, 20, 27, 31, 32].”
Differential Representations for Mesh Processing (2006, background): “See also [16] for an earlier state-ofthe-art report on this subject.”
Laplace-Beltrami eigenfunctions for deformation invariant shape representation (2007, unknown): “Afterwards, several versions were proposed in [DMSB99], [GSS99], [Tau00], [MDSB02], [Xu04b].”
The emerging field of signal processing on graphs: Extending high-dimensional data analysis to networks and other irregular domains (2012, methodology): “This work includes, for example, low-pass ﬁltering as a smoothing operation to enhance the overall shape of an object [18], transform coding based on spectral decompositions for the compression of geometry data [19], and multiresolution representations of large meshes by decomposing one surface…”
Towards realism in drawing areas of interest on architecture diagrams (2009, unknown): “We discuss these next.”
Recent Advances in Remeshing of Surfaces (2008, methodology): “We invite the reader interested in related topics to read several comprehensive courses and tutorials on subdivision surfaces [72, 92], geometric modeling [41], digital geometry processing [81, 79] morphing [2], simplification and compression [53, 28, 3] and parameterization [22].”
Nonlocal Discrete Regularization on Weighted Graphs: A Framework for Image and Manifold Processing (2008, methodology): “Most mesh smoothing methods are based on the discrete Laplace–Beltrami regularization or on the discrete curvature regularization [5], [6].”