Ternary univariate curvature-preserving subdivision |
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Authors: | Myungjin Jeon Dongsoong Han Kyeongsu Park Gundon Choi |
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Institution: | 1. Dept of Computer aided Mathematical Information Science, Semyung Univ., 390-711, Jechon, Korea 2. Dept. of Mathematics, Jeonju Univ., 560-759, Jeonju, Korea 3. KAI System Korea, Oksu bldg 2F, Jangjun ldong, Geumjunggu, 609-837, Busan, Korea
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Abstract: | 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. |
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