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» Discrete Harmonic Functions from Local Coordinates
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CVPR
2006
IEEE
13 years 11 months ago
A Shape Representation for Planar Curves by Shape Signature Harmonic Embedding
This paper introduces a new representation for planar curves. From the well-known Dirichlet problem for a disk, the harmonic function embedded in a circular disk is solely depende...
Sang-Mook Lee, A. Lynn Abbott, Neil A. Clark, Phil...
TMI
2008
73views more  TMI 2008»
13 years 5 months ago
Tensor-Based Cortical Surface Morphometry via Weighted Spherical Harmonic Representation
Abstract--We present a new tensor-based morphometric framework that quantifies cortical shape variations using a local area element. The local area element is computed from the Rie...
Moo K. Chung, Kim M. Dalton, Richard J. Davidson
DAGM
2001
Springer
13 years 10 months ago
3D Model Retrieval with Spherical Harmonics and Moments
We consider 3D object retrieval in which a polygonal mesh serves as a query and similar objects are retrieved from a collection of 3D objects. Algorithms proceed first by a normal...
Dietmar Saupe, Dejan V. Vranic
COMPGEOM
2009
ACM
14 years 8 days ago
Persistent cohomology and circular coordinates
Nonlinear dimensionality reduction (NLDR) algorithms such as Isomap, LLE and Laplacian Eigenmaps address the problem of representing high-dimensional nonlinear data in terms of lo...
Vin de Silva, Mikael Vejdemo-Johansson
MIAR
2006
IEEE
13 years 11 months ago
Multi-scale Voxel-Based Morphometry Via Weighted Spherical Harmonic Representation
Although the voxel-based morphometry (VBM) has been widely used in quantifying the amount of gray matter of the human brain, the optimal amount of registration that should be used ...
Moo K. Chung, Li Shen, Kim M. Dalton, Richard J. D...