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» On Coherence in Computer Algebra
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3DPH
2009
145views Healthcare» more  3DPH 2009»
15 years 2 months ago
The Persistent Morse Complex Segmentation of a 3-Manifold
We describe an algorithm for segmenting three-dimensional medical imaging data modeled as a continuous function on a 3-manifold. It is related to watershed algorithms developed in ...
Herbert Edelsbrunner, John Harer
ECCV
2006
Springer
16 years 6 months ago
Algebraic Methods for Direct and Feature Based Registration of Diffusion Tensor Images
Abstract. We present an algebraic solution to both direct and featurebased registration of diffusion tensor images under various local deformation models. In the direct case, we sh...
Alvina Goh, René Vidal
DCC
2008
IEEE
16 years 3 months ago
On solving sparse algebraic equations over finite fields
A system of algebraic equations over a finite field is called sparse if each equation depends on a small number of variables. Finding efficiently solutions to the system is an unde...
Igor Semaev
RTA
2009
Springer
15 years 10 months ago
Protocol Security and Algebraic Properties: Decision Results for a Bounded Number of Sessions
Abstract. We consider the problem of deciding the security of cryptographic protocols for a bounded number of sessions, taking into account some algebraic properties of the securit...
Sergiu Bursuc, Hubert Comon-Lundh
AB
2008
Springer
15 years 10 months ago
Algebraic Analysis of Bifurcation and Limit Cycles for Biological Systems
In this paper, we show how to analyze bifurcation and limit cycles for biological systems by using an algebraic approach based on triangular decomposition, Gr¨obner bases, discrim...
Wei Niu, Dongming Wang