Mathematical Methods in Computer Aided Geometric Design II by Tom Lyche, Larry L. Schumaker

By Tom Lyche, Larry L. Schumaker

This quantity is predicated on a global convention held in June 1991, and includes educational and unique research-level papers on mathematical equipment in CAGD and photo processing. prime researchers (Barnsley, Chui, Seidell, de Casteljau) have authored invited survey papers on spline and Bezier tools for curve and floor modeling, visualization, and knowledge becoming in addition to connections with wavelets and fractals, and their functions in snapshot processing. it is a very winning region with the twin computing device graphics/applied arithmetic marketplace

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Design 4 (1987), 23-39. See also R. Sarraga, Errata: G l interpolation of generally unrestricted cubic Bezier curves. Computer Aided Geom. Design 6 (1989), 167-172. 30. , and H. 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.

Pratt, M. D. Geisow, Surface/surface intersection problems, in The Mathematics of Surfaces, J. A. ), Oxford Science Pubhcations, New Series Number 6, 1986, 117-142. Modeling Closed Surfaces: A Comparison of Existing Methods p. Brunei and A. Vinacua Abstract. As C overall continuity is not possible in closed surfaces, modeling schemes are closely related to geometric continuity. Algorithms that generate surfaces from a set of polyhedron vertices include recursive subdivision methods, piecewise algebraic interpolation, discrete interpola­ tion or transfinite interpolation of a closed mesh of curves.

23. , Geometric modeling of octree encoded polyhedral objects, Doctoral thesis, Univ. PoUtecnica de Catalunya, Barcelona 1986. 24. Nielsen, G. , A transfinite, visually continuous, triangular interpolant, in Geometric Modeling: Algorithms and New Trends, G. E. ), SIAM, Philadelphia, 1987, 235-246. 25. , Smooth mesh interpolation with cubic patches, Comput. Aided Design 22 (1990), 109-120. 42 Ρ, Brunet and Α. Vinacua 26. Piper, Β. , Visually Smooth Interpolation with Triangular Bezier Patches, in Geometric Modeling: algorithms and new trends, G.

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