Journal of applied mathematics & informatics
- 제18권1_2호
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- Pages.235-246
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- 2005
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
TERNARY UNIVARIATE CURVATURE-PRESERVING SUBDIVISION
- JEON MYUNGJIN (Dept. of Computer aided Mathematical Information Science, Semyung Univ.) ;
- HAN DONGSOONG (Dept. of Mathematics, Jeonju Univ.) ;
- PARK KYEONGSU (Dept. of Mathematics, Jeonju Univ.) ;
- CHOI GUNDON (KAI System Korea)
- 발행 : 2005.03.01
초록
We present an interpolating, univariate subdivision scheme which preserves the discrete curvature and tangent direction at each step of subdivision. Since the polygon have a geometric information of some original(in some sense) curve as a discrete curvature, we can expect that the limit curve has the same curvature at each vertex as the control polygon. We estimate the curvature bound of odd vertices and give an error estimate for restoring a curve from sampled vertices on curves.