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» A Computational Model for Metric Spaces
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ETVC
2008
13 years 9 months ago
Statistical Computing on Manifolds: From Riemannian Geometry to Computational Anatomy
Computational anatomy is an emerging discipline that aims at analyzing and modeling the individual anatomy of organs and their biological variability across a population. The goal ...
Xavier Pennec
FOCS
2004
IEEE
13 years 11 months ago
Measured Descent: A New Embedding Method for Finite Metrics
We devise a new embedding technique, which we call measured descent, based on decomposing a metric space locally, at varying speeds, according to the density of some probability m...
Robert Krauthgamer, James R. Lee, Manor Mendel, As...
SIAMNUM
2011
154views more  SIAMNUM 2011»
13 years 2 months ago
Continuous Mesh Framework Part I: Well-Posed Continuous Interpolation Error
In the context of mesh adaptation, Riemannian metric spaces have been used to prescribe orientation, density and stretching of anisotropic meshes. But, such structures are only con...
Adrien Loseille, Frédéric Alauzet
FOCS
2003
IEEE
14 years 1 months ago
Bounded Geometries, Fractals, and Low-Distortion Embeddings
The doubling constant of a metric space (X, d) is the smallest value λ such that every ball in X can be covered by λ balls of half the radius. The doubling dimension of X is the...
Anupam Gupta, Robert Krauthgamer, James R. Lee
ICCV
2001
IEEE
14 years 9 months ago
Model-Based Bundle Adjustment with Application to Face Modeling
We present a new model-based bundle adjustment algorithm to recover the 3D model of a scene/object from a sequence of images with unknown motions. Instead of representing scene/ob...
Ying Shan, Zicheng Liu, Zhengyou Zhang