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NIPS
2003
14 years 24 days ago
A Computational Geometric Approach to Shape Analysis in Images
We present a geometric approach to statistical shape analysis of closed curves in images. The basic idea is to specify a space of closed curves satisfying given constraints, and e...
Anuj Srivastava, Xiuwen Liu, Washington Mio, Eric ...
DIAGRAMS
2006
Springer
14 years 3 months ago
The Mathematics of Boundaries: A Beginning
The intuitive properties of configurations of planar non-overlapping closed curves (boundaries) are presented as a pure boundary mathematics. The mathematics, which is not incorpor...
William Bricken
WADS
2005
Springer
111views Algorithms» more  WADS 2005»
14 years 5 months ago
On Geometric Dilation and Halving Chords
Let G be an embedded planar graph whose edges may be curves. The detour between two points, p and q (on edges or vertices) of G, is the ratio between the shortest path in G between...
Adrian Dumitrescu, Annette Ebbers-Baumann, Ansgar ...
SMI
2006
IEEE
138views Image Analysis» more  SMI 2006»
14 years 5 months ago
Curves-on-Surface: A General Shape Comparison Framework
We develop a new surface matching framework to handle surface comparisons based on a novel mathematical analysis of curves on surfaces, and propose a unique signature for any clos...
Xin Li, Ying He 0001, Xianfeng Gu, Hong Qin
ICCV
2007
IEEE
15 years 1 months ago
Variational optimal control technique for the tracking of deformable objects
In this paper, a new framework for the tracking of closed curves is described. The proposed approach, formalized through an optimal control technique, enables a continuous trackin...
Nicolas Papadakis, Étienne Mémin