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Additional info for Mathematical Methods in Computer Aided Geometric Design II
Discussion of T h e s e M o d e l i n g S c h e m e s All the methods presented have different strengths and weaknesses. In each case, by present day technology, one has to choose the "right" scheme ac cording to the relevance of its strengths and weaknesses to the application at hand. In this section we would like to present briefly these differences, and explore their interactions, defining in the passing the space that we feel the new model presented in Section 6 can fill. In the next three subsections, we do this by focusing on three central issues: corner compatibility problems, geometric interrogations and set operations.
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Chiyokura, Boolean operations on sets using surface data. Proceedings of the Symposium on Solid Modeling Foundations and CAD/CAM Applications, Texas, 1991, J. Rossignac and J. ), ACM Press, 1991, 119-127. 31. Sederberg, T. , Piecewise algebraic surface patches. Computer Aided Geom. Design 2 (1985), 53-59. 32. Sederberg, T. , and S. R. Parry, Free-form deformation of solid models, SIGGRAPH'86 20 ACM, 1986, 151-160. 33. Van Wijk, J. , Bicubic patches for approximating non-rectangular control-point meshes.