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» Modeling the structure of multivariate manifolds: Shape maps
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CVPR
2008
IEEE
13 years 11 months ago
Modeling the structure of multivariate manifolds: Shape maps
We propose a shape population metric that reflects the interdependencies between points observed in a set of examples. It provides a notion of topology for shape and appearance m...
Georg Langs, Nikos Paragios
SMA
2006
ACM
120views Solid Modeling» more  SMA 2006»
13 years 10 months ago
Identifying flat and tubular regions of a shape by unstable manifolds
We present an algorithm to identify the flat and tubular regions of a three dimensional shape from its point sample. We consider the distance function to the input point cloud an...
Samrat Goswami, Tamal K. Dey, Chandrajit L. Bajaj
SCALESPACE
2009
Springer
13 years 11 months ago
Pre-image as Karcher Mean Using Diffusion Maps: Application to Shape and Image Denoising
In the context of shape and image modeling by manifold learning, we focus on the problem of denoising. A set of shapes or images being known through given samples, we capture its s...
Nicolas Thorstensen, Florent Ségonne, Renau...
CVPR
2007
IEEE
14 years 6 months ago
Mapping Natural Image Patches by Explicit and Implicit Manifolds
Image patches are fundamental elements for object modeling and recognition. However, there has not been a panoramic study of the structures of the whole ensemble of natural image ...
Kent Shi, Song Chun Zhu
MICCAI
2006
Springer
14 years 5 months ago
Logarithm Odds Maps for Shape Representation
The concept of the Logarithm of the Odds (LogOdds) is frequently used in areas such as artificial neural networks, economics, and biology. Here, we utilize LogOdds for a shape repr...
Kilian M. Pohl, John W. Fisher III, Martha Elizabe...