Polygonization of implicit surfaces

Computer Aided Geometric Design - Tập 5 Số 4 - Trang 341-355 - 1988
Jules Bloomenthal1
1Xerox Corp., Palo Alto, CA

Tóm tắt

Từ khóa


Tài liệu tham khảo

Agin, 1972, Representation and description of curved objects, Memo AIM-173. Stanford Artificial Intelligence Report

Allgower, 1980, Simplicial and continuation methods for approximating fixed points and solutions to systems of equations, SIAM Review, 22, 28, 10.1137/1022003

Allgower, 1987, An algorithm for piecewise linear approximation of implicitly defined two-dimensional surfaces, SIAM J. Num. Anal., 24, 452, 10.1137/0724033

Arnon, 1984, Cylindrical algebraic decomposition, SIAM J. Comput., 13, 865, 10.1137/0213054

Artzy, 1980, The theory, design, implementation and evaluation of a three-dimensional surface detection algorithm, 14, 2

Blinn, 1982, A generalization of algebraic surface drawing, ACM Trans. Graphics, 1, 235, 10.1145/357306.357310

Bloomenthal, 1985, Modeling the mighty maple, 19, 305

Charrot, 1984, A pentagonal surface patch for computer aided geometric design, Computer Aided Geometric Design, 1, 87, 10.1016/0167-8396(84)90006-2

Cook, 1986, Stochastic sampling in computer graphics, ACM Trans. Graphics, 5, 51, 10.1145/7529.8927

Cottafava, 1969, Automatic contour map, Comm. ACM, 12, 386, 10.1145/363156.363172

Coxeter, 1963

Crow, 1988

Dahlquist, 1974

Hanrahan, 1987, A survey of ray-surface intersection algorithms

Heckbert, P. (1987), Personal communication.

Hoffman, 1985, The potential method for blending surfaces and corners

Hunter, K. (1987), Personal communication regarding a 1983, unpublished report on the contouring of analytic functions

Lorensen, 1987, Marching cubes: a high resolution 3D surface construction algorithm, 21, 163

Meagher, 1982, Geometric modeling using octree encoding, Computer Graphics and Image Processing, 19, 129, 10.1016/0146-664X(82)90104-6

Middleditch, 1985, Blend surfaces for set theoretic volume modeling systems, 19, 161

Requicha, 1982, Solid modeling: a historical summary and contemporary assessment, IEEE Computer Graphics Appl., 2, 9, 10.1109/MCG.1982.1674149

Samet, 1984, The quadtree and related hierarchical data structures, Computing Surveys, 16, 187, 10.1145/356924.356930

Sederberg, 1986, Algebraic geometry for computer-aided geometric, design, IEEE Computer Graphics Appl., 6, 52, 10.1109/MCG.1986.276742

Sokolnikoff, 1964

Thompson, 1985

Von Herzen, 1987, Accurate triangulations of deformed, intersecting surfaces, 21, 103

Wyvill, 1986, Data structure for soft objects, Visual Computer, 2, 227, 10.1007/BF01900346