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» Complex Representations of Algebraic Curves
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ICIP
1998
IEEE
15 years 10 days ago
Complex Representations of Algebraic Curves
In this work, we employ a complex representation for an algebraic curve, and illustrate how the algebraic transformation which relates two Euclidean equivalent curves can be deter...
Mustafa Unel, William A. Wolovich
NSF
1994
Springer
151views Computer Vision» more  NSF 1994»
14 years 2 months ago
Algebraic Geometry and Object Representation in Computer Vision
The goal of algebraic geometry is to gain an understanding of the behaviour of functions related by polynomial relationships. Algebraic curves and surfaces having considerable adva...
Sylvain Petitjean
CAGD
2008
292views more  CAGD 2008»
13 years 11 months ago
Rotations, translations and symmetry detection for complexified curves
A plane algebraic curve can be represented as the zero-set of a polynomial in two - or if one takes homogenous coordinates: three - variables. The coefficients of the polynomial de...
Peter Lebmeir, Jürgen Richter-Gebert
CVPR
1998
IEEE
14 years 12 months ago
A New Complex Basis for Implicit Polynomial Curves and its Simple Exploitation for Pose Estimation and Invariant Recognition
New representations are developed for 2D IP (implicit polynomial) curves ofarbitrary degree. These representations permit shape recognition and pose estimation with essentially sin...
David B. Cooper, Jean-Philippe Tarel
GC
2011
Springer
13 years 2 months ago
A Note on the Complexity of Real Algebraic Hypersurfaces
Given an algebraic hypersurface O in Êd, how many simplices are necessary for a simplicial complex isotopic to O? We address this problem and the variant where all vertices of the...
Michael Kerber, Michael Sagraloff