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SIAMIS
2011
8 years 6 months ago
A New Geometric Metric in the Space of Curves, and Applications to Tracking Deforming Objects by Prediction and Filtering
We define a novel metric on the space of closed planar curves which decomposes into three intuitive components. According to this metric centroid translations, scale changes and ...
Ganesh Sundaramoorthi, Andrea Mennucci, Stefano So...
ICPR
2010
IEEE
8 years 9 months ago
A Re-evaluation of Pedestrian Detection on Riemannian Manifolds
Abstract--Boosting covariance data on Riemannian manifolds has proven to be a convenient strategy in a pedestrian detection context. In this paper we show that the detection perfor...
Diego Tosato, Michela Farenzena, Marco Cristani, V...
PR
2007
141views more  PR 2007»
8 years 11 months ago
A Riemannian approach to graph embedding
In this paper, we make use of the relationship between the Laplace–Beltrami operator and the graph Laplacian, for the purposes of embedding a graph onto a Riemannian manifold. T...
Antonio Robles-Kelly, Edwin R. Hancock
FOCM
2008
100views more  FOCM 2008»
8 years 11 months ago
A Unifying Local Convergence Result for Newton's Method in Riemannian Manifolds
We consider the problem of finding a singularity of a differentiable vector field X defined on a complete Riemannian manifold. We prove a unified result for the existence and local...
Felipe Alvarez, Jérôme Bolte, Julien ...
CCCG
2003
9 years 22 days ago
Estimation of the necessary number of points in Riemannian Voronoi
G. Leibon and D. Letscher showed that for general and sufficiently dense point set its Delaunay triangulation and Voronoi diagram in Riemannian manifold exist. They also proposed ...
Kensuke Onishi, Jin-ichi Itoh
ICIP
1998
IEEE
9 years 3 months ago
Segmentation as a Riemannian Drum Problem
1 In this paper, the segmentation problem is formulated as a problem of segmenting a Riemannian manifold. The image domain is endowed with an anisotropic metric and its segmentatio...
Jayant Shah

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JianChengStudent, PhD
Institute of Automation Chinese Academy of Sciences and INRIA Sophia Antipolis
JianCheng
I am a Ph.D. student in Medical Image Analysis under a joint Ph.D. program between China and France. I work with Prof. Tianzi Jiang in RCCM, LIAMA, CASIA, and Prof. Rachid Derich...
ECCV
2006
Springer
10 years 1 months ago
Riemannian Manifold Learning for Nonlinear Dimensionality Reduction
In recent years, nonlinear dimensionality reduction (NLDR) techniques have attracted much attention in visual perception and many other areas of science. We propose an efficient al...
Tony Lin, Hongbin Zha, Sang Uk Lee
ECCV
2008
Springer
10 years 1 months ago
Anisotropic Geodesics for Perceptual Grouping and Domain Meshing
This paper shows how computational Riemannian manifold can be used to solve several problems in computer vision and graphics. Indeed, Voronoi segmentations and Delaunay graphs comp...
Sébastien Bougleux, Gabriel Peyré, L...
CVPR
2008
IEEE
10 years 1 months ago
Robust statistics on Riemannian manifolds via the geometric median
The geometric median is a classic robust estimator of centrality for data in Euclidean spaces. In this paper we formulate the geometric median of data on a Riemannian manifold as ...
P. Thomas Fletcher, Suresh Venkatasubramanian, Sar...
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