The Approximation of Free-form Surface using Cubic Ball Curve 


Vol. 7,  No. 4, pp. 1271-1278, Apr.  2000
10.3745/KIPSTE.2000.7.4.1271


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  Abstract

A general curve and surface is a basic method to generate Free-form object using the fundamental properties of blending function. In typical method, there is an overhead of calculating to present Free-form object with the line segments and interpolation algorithm, In this paper, for resolving this problem efficiently, it will propose the flexible Free-form curves/surfaces using Ball curve shape-preserving property. This method includes Geometric Continuity that is needed to design Free-form Surface of high degree consisted with many curves. Also, when lots of data are reduced using Geometric Property of Free-form curves, the shape-preserving property of resulting object can be maintained, then it can represent any Free-form object with less calculating .

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[IEEE Style]

A. R. Lee and J. H. Shim, "The Approximation of Free-form Surface using Cubic Ball Curve," The Transactions of the Korea Information Processing Society (1994 ~ 2000), vol. 7, no. 4, pp. 1271-1278, 2000. DOI: 10.3745/KIPSTE.2000.7.4.1271.

[ACM Style]

Ah Ri Lee and Jae Hong Shim. 2000. The Approximation of Free-form Surface using Cubic Ball Curve. The Transactions of the Korea Information Processing Society (1994 ~ 2000), 7, 4, (2000), 1271-1278. DOI: 10.3745/KIPSTE.2000.7.4.1271.

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