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- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.11 No.3
- 발행연도
- 2007.9
- 수록면
- 37 - 41 (5page)
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The semi-convexity for planar shapes has been recently introduced in [2]. As a generalization of the convexity, semi-convexity is closed under the Minkowski sum. But the definition of semi-convexity requires that the shape boundary should satifisfy a differentiability condition C<SUP>1:1</SUP>, which means that it should be possible to take the normal vector field along the domain's extended boundary. In view of the fact that the semi-convexity is a most natural generalization of the convexity in many respects, this is a severe restriction for the semi-convexity, since the convexity requires no such a priori differentiability condition. In this paper, we generalize the semi-convexity to the closure of the class of semi-convex M-domains for any Minkowski class M, and show that this generalized semi-convexity is also closed under Minkowski sum.
목차
ABSTRACT
1. INTRODUCTION
2. SEMI-CONVEXITY AND MINKOWSKI SUM
3. GENERALIZED SEMI-CONVEXITY
REFERENCES
참고문헌 (11)
참고문헌 신청
1. [학술지(정기간행물)] - / 2002 / Minkowski sum of semi-convex domains inR2
2. [학술지(정기간행물)] - / 1996 / Blob metamorphosis based on Minkowski sums 15 (3) : 143 ~ 153
3. [학술지(정기간행물)] - / 1988. / A mathematical model for shape description using Minkowski operators
4. [학술지(정기간행물)] - / 1993. / P. K. Ghosh. A unied computational framework for Minkowski operations.Computers and Graph-ics
5. [학술지(정기간행물)] - / 1983. / and J. Stol. A kinetic framework for computer geometry. InProc. of24th Annual Symp. on Foundations of Computer Science
2. [학술지(정기간행물)] - / 1996 / Blob metamorphosis based on Minkowski sums 15 (3) : 143 ~ 153
3. [학술지(정기간행물)] - / 1988. / A mathematical model for shape description using Minkowski operators
4. [학술지(정기간행물)] - / 1993. / P. K. Ghosh. A unied computational framework for Minkowski operations.Computers and Graph-ics
5. [학술지(정기간행물)] - / 1983. / and J. Stol. A kinetic framework for computer geometry. InProc. of24th Annual Symp. on Foundations of Computer Science
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UCI(KEPA) : I410-ECN-0101-2009-410-014694147