Invariant Signatures of Closed Planar Curves

被引：0
|
作者：
Emilio Musso
Lorenzo Nicolodi
机构：
[1] Politecnico di Torino,Dipartimento di Matematica
[2] Università degli Studi di Parma,Dipartimento di Matematica
来源：
Journal of Mathematical Imaging and Vision | 2009年 / 35卷
关键词：
Closed curves; Signature; Phase portrait; Symmetry; Object recognition; Symmetry detection;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove that any subset of ℝ2 parametrized by a C1 periodic function and its derivative is the Euclidean invariant signature of a closed planar curve. This solves a problem posed by Calabi et al. (Int. J. Comput. Vis. 26:107–135, 1998). Based on the proof of this result, we then develop some cautionary examples concerning the application of signature curves for object recognition and symmetry detection as proposed by Calabi et al.
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页码：68 / 85
页数：17
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