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» Geometric Moments in Scale-Spaces
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ICPR
2002
IEEE
14 years 6 months ago
Geometric Moments in Scale-Spaces
In this paper we present a generalization of geometric moments in scale-spaces derived from the general heat diffusion equation, with a particular interest for the min/max flow. A...
Xavier Bresson, Pierre Vandergheynst, Jean-Philipp...
DSSCV
2005
Springer
13 years 10 months ago
Deep Structure from a Geometric Point of View
The geometry of “empty” scale space is investigated. By virtue of the proposed geometric axioms the generating PDE, the linear isotropic heat equation, can be presented in cova...
Luc Florack
VIS
2009
IEEE
215views Visualization» more  VIS 2009»
14 years 6 months ago
Intrinsic Geometric Scale Space by Shape Diffusion
This paper formalizes a novel, intrinsic geometric scale space (IGSS) of 3D surface shapes. The intrinsic geometry of a surface is diffused by means of the Ricci flow for the gener...
Guangyu Zou, Jing Hua, Zhaoqiang Lai, Xianfeng ...
JMIV
1998
112views more  JMIV 1998»
13 years 4 months ago
Differential and Integral Geometry of Linear Scale-Spaces
Linear scale-space theory provides a useful framework to quantify the differential and integral geometry of spatio-temporal input images. In this paper that geometry comes about by...
Alfons H. Salden, Bart M. ter Haar Romeny, Max A. ...
JMIV
1998
106views more  JMIV 1998»
13 years 4 months ago
Linear Scale-Space Theory from Physical Principles
In the past decades linear scale-space theory was derived on the basis of various axiomatics. In this paper we revisit these axioms and show that they merely coincide with the foll...
Alfons H. Salden, Bart M. ter Haar Romeny, Max A. ...