Abstract
In this paper we present a new method for the model of interpolation surfaces by the blending of polar coordinates and Cartesian coordinate. A trajectory curve is constructed by circular trigonometric Hermite interpolation spline (CTHIS) and a profile curve is presented by C 2-continuous B-spline like interpolation spline (BSLIS). A piecewise interpolation spline surface is incorporated by the blending of CTHIS and BSLIS. In addition, scaling functions have been introduced to improve the flexibility of the model of the interpolation surfaces. On the basis of these results, some examples are given to show how the method is used to model some interesting surfaces.
This work was completed with the support by the National Natural Science Foundation of China under Grant No. 10171026 and No. 60473114 and in part by the Research Funds for Young Innovation Group, Education Department of Anhui Province under Grant No. 2005TD03 and the Natural Science Foundation of Anhui Provincial Education Department under Grant No. 2005jq1120zd, No. 2006KJ252B.
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Su, B., Tan, J. (2006). Geometric Modeling for Interpolation Surfaces Based on Blended Coordinate System. In: Zha, H., Pan, Z., Thwaites, H., Addison, A.C., Forte, M. (eds) Interactive Technologies and Sociotechnical Systems. VSMM 2006. Lecture Notes in Computer Science, vol 4270. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11890881_25
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DOI: https://doi.org/10.1007/11890881_25
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