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» Statistical Computing on Manifolds: From Riemannian Geometry...
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CGF
2008
118views more  CGF 2008»
13 years 4 months ago
Manifold-valued Thin-Plate Splines with Applications in Computer Graphics
We present a generalization of thin-plate splines for interpolation and approximation of manifold-valued data, and demonstrate its usefulness in computer graphics with several app...
Florian Steinke, Matthias Hein, Jan Peters, Bernha...
ICPR
2010
IEEE
13 years 2 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...
ECCV
2010
Springer
13 years 8 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...
CVPR
2012
IEEE
11 years 7 months ago
Sasaki metrics for analysis of longitudinal data on manifolds
Longitudinal data arises in many applications in which the goal is to understand changes in individual entities over time. In this paper, we present a method for analyzing longitu...
Prasanna Muralidharan, P. Thomas Fletcher
PR
2007
141views more  PR 2007»
13 years 4 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