May 2015
Intermediate to advanced
246 pages
6h 33m
English
book
A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing
by Daniel Cohen-Or, Chen Greif, Tao Ju, Niloy J. Mitra, Ariel Shamir, Olga Sorkine-Hornung, Hao Zhang
Content preview from A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing
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78 Spectral Transform
(h) k = 3. (g) k = 5. (f) k = 10. (e) k = 50.
(d) k = 100. (c) k = 200. (b) k = 300. (a) Original.
Figure 5.12: Shape reconstruction via spectral analysis using a mesh
Laplacian operator, where k is the number of eigenvectors or spectral
coefficients used. The original model has 7,502 vertices and 15,000 faces.
Figure 5.13: A few visual examples of mesh filtering with plots of the
applied filters shown on the side.
Just as in the 1D classical case, the oscillatory behavior of the
Laplacian eigenvectors and the implied spectral transform of ge-
ometric mesh signals allow us to apply Fourier-like analysis to
mesh models. In addition to ...
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