Projective Evolution of Plane Curves

Authors:
Marco Castrillón;Antonio Valdés
Affiliations:
Departamento de Geometría y Topologia, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, 28040, Madrid, Spain. Marco_Castrillon@mat.ucm.es;Departamento de Geometría y Topologia, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, 28040, Madrid, Spain. Antonio_Valdes@mat.ucm.es
Venue:
International Journal of Computer Vision
Year:
2001

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Abstract

We show that projectively invariant evolution operators have unavoidable singularities. In particular, we see that there exists no non-singular projective evolution operator well-defined over straight lines nor conics.