Free-Form Curve Interpolation Method for Shape Preservation


The Transactions of the Korea Information Processing Society (1994 ~ 2000), Vol. 6, No. 3, pp. 758-765, Mar. 1999
10.3745/KIPSTE.1999.6.3.758,   PDF Download:

Abstract

Shape-preserving property is the important method that controls the complex free from curve/surface. Interpolation method for the existed Shape-Preservation had problems that it has needed the minimization of a curvature-related functions for calculating single-valued data. Solving this problem, in this paper, it proposed to the algorithm of generalizing C1 piecewise parametric cubic curve that has shape-preserving property for both Single-value data and Multi-value data. When there are the arbitrary tangents and two data, including shape-preserving property, this proposed method gets piecewise parametric cubic polynomial by checking the relation between the shape-preserving property and then calculates efficiently the control points using that. Also, it controls the initial shape using curvature distribution on curve segments.


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Cite this article
[IEEE Style]
L. A. Ri, P. C. Ho, S. J. Hong, "Free-Form Curve Interpolation Method for Shape Preservation," The Transactions of the Korea Information Processing Society (1994 ~ 2000), vol. 6, no. 3, pp. 758-765, 1999. DOI: 10.3745/KIPSTE.1999.6.3.758.

[ACM Style]
Lee Ah Ri, Park Chul Ho, and Sim Je Hong. 1999. Free-Form Curve Interpolation Method for Shape Preservation. The Transactions of the Korea Information Processing Society (1994 ~ 2000), 6, 3, (1999), 758-765. DOI: 10.3745/KIPSTE.1999.6.3.758.