Smoothness of Boundaries of Regular Sets

We prove that the boundary of an r -regular set is a codimension one manifold of class  C 1 .

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Bibliographic Details
Published in:Journal of mathematical imaging and vision 2014, Vol.48 (1), p.106-113
Main Authors: Duarte, Pedro, Torres, Maria Joana
Format: Article
Language:English
Subjects:
Algebra
Algebraic geometry
Applications of Mathematics
Computer Science
Exact sciences and technology
Image Processing and Computer Vision
Mathematical Methods in Physics
Mathematics
Sciences and techniques of general use
Signal,Image and Speech Processing
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Description
Summary:We prove that the boundary of an r -regular set is a codimension one manifold of class  C 1 .
ISSN:0924-9907
1573-7683
DOI:10.1007/s10851-012-0397-0