Journal of applied mathematics & informatics
- Volume 20 Issue 1_2
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- Pages.575-584
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- 2006
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
APPROXIMATE TANGENT VECTOR AND GEOMETRIC CUBIC HERMITE INTERPOLATION
- Jeon, Myung-Jin (Department of Computer aided Mathematical Information Science, Semyung University)
- Published : 2006.01.01
Abstract
In this paper we introduce a discrete tangent vector of a polygon defined on each vertex by a linear combination of forward difference and backward difference, and show that if the polygon is originated from a smooth curve then direction of the discrete tangent vector is a second order approximation of the direction of the tangent vector of the original curve. Using this discrete tangent vector, we also introduced the geometric cubic Hermite interpolation of a polygon with controlled initial and terminal speed of the curve segments proportional to the edge length. In this case the whole interpolation is