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CCCG
2007
13 years 6 months ago
Approximations of Geodesic Distances for Incomplete Triangular Manifolds
We present a heuristic algorithm to compute approximate geodesic distances on a triangular manifold S containing n vertices with partially missing data. The proposed method comput...
Zouhour Ben Azouz, Prosenjit Bose, Chang Shu, Stef...
CG
2005
Springer
13 years 5 months ago
Computing geodesics on triangular meshes
We present a new algorithm to compute a geodesic path over a triangulated surface. Based on Sethian's Fast Marching Method and Polthier's Straightest Geodesics theory, w...
Dimas Martínez Morera, Luiz Velho, Paulo Ce...
ICIP
2008
IEEE
14 years 7 months ago
On the estimation of geodesic paths on sampled manifolds under random projections
In this paper, we focus on the use of random projections as a dimensionality reduction tool for sampled manifolds in highdimensional Euclidean spaces. We show that geodesic paths ...
Mona Mahmoudi, Pierre Vandergheynst, Matteo Sorci
ECCV
2010
Springer
13 years 9 months ago
Manifold Valued Statistics, Exact Principal Geodesic Analysis and the Effect of Linear Approximations
Manifolds are widely used to model non-linearity arising in a range of computer vision applications. This paper treats statistics on manifolds and the loss of accuracy occurring wh...
FGR
2006
IEEE
217views Biometrics» more  FGR 2006»
13 years 11 months ago
Face Recognition with Image Sets Using Hierarchically Extracted Exemplars from Appearance Manifolds
An unsupervised nonparametric approach is proposed to automatically extract representative face samples (exemplars) from a video sequence or an image set for multipleshot face rec...
Wei Fan, Dit-Yan Yeung