Implicit Surfaces Bibliography

This bibliography was originally prepared by Jules Bloomenthal from the reference list of Introduction to Implicit Surfaces (Morgan-Kaufmann, 1997). Additional references were provided by Mike Arcuri, Paul Heckbert, Michael Pratt, and Agata Opalach.

Texts paying particular attention to implicit surfaces include An Introduction to Solid Modeling by Mäntylä, Geometric and Solid Modeling: An Introduction by Hoffmann, Generative Modeling for Computer Graphics and CAD by John Snyder, Implicit Objects in Computer Graphics by Gomes and Velho, and The Visualization Toolkit by Schroeder, Martin, and Lorensen.

There are several compendiums relevant to implicit surfaces; these include the course notes for implicit surface tutorials given at SIGGRAPH (1990, 1993, and 1996); the proceedings of the international workshops on implicit surfaces (1995 and 1996); and the course notes for an introduction to implicit surfaces offered at the University of Leeds (1995).

References

S. S. Abhyankar and Bajaj, C. L., Automatic Rational Parameterization of Curves and Surfaces I: Conics and Conicoids, Computer Aided Design, v. 19, n. 1, pp. 11-14, 1987.

S. S. Abhyankar and Bajaj, C. L., Automatic Rational Parameterization of Curves and Surfaces II: Cubics and Cubicoids, Computer Aided Design, v. 19, n. 9, pp. 499-502, 1987.

S. S. Abhyankar and Bajaj, C. L., Automatic Rational Parameterization of Curves and Surfaces III: Algebraic Plane Curves, Computer Aided Geometric Design, v. 5, n. 4, pp. 309-321, 1988.

S. S. Abhyankar and Bajaj, C. L., Automatic Rational Parameterization of Curves and Surfaces IV: Algebraic Space Curves, Transactions on Graphics, v. 8, n. 4, p. 325-334, 1989.

Peter Alfeld, A Trivariate Clogh-Tocher Scheme for Tetrahedral Data, Computer Aided Geometric Design, vol. 1, no. 2, pp. 169-181, 1984.

S. Allen and D. Dutta, Supercyclides and Blending, technical report, Dept. of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, MI, no. UM-MEAM-96-02, 1996 (to appear in Computer Aided Geometric Design).

Eugene Allgower and Kurt Georg, Numerical Continuation Methods, An Introduction, Springer-Verlag, New York, 1990 (Springer Series in Computational Mathematics, vol. 13).

Eugene Allgower and Stefan Gnutzmann, Simplicial Pivoting for Mesh Generation of Implicitly Defined Surfaces, Computer-Aided Geometric Design (Netherlands), vol. 8, no. 4, Oct. 1991, pp. 305-25.

Eugene Allgower and Phillip Schmidt, An Algorithm for Piecewise-Linear Approximation of an Implicitly Defined Manifold, SIAM J. of Numerical Analysis, vol. 22, no. 2, pp. 322-346, SIAM Press, Philadelphia, Apr. 1985.

John Ambrosiano, Scott Brandon, Rainald Löhner, and C. Richard DeVore, Electromagnetics via the Taylor-Galerkin Finite Element Method on Unstructured Grids, Journal of Computational Physics, vol. 110, pp. 310-319, 1994.

Ehud Artzy, Gideon Frieder, and Gabor Herman, The Theory, Design, Implementation and Evaluation of a Three-Dimensional Surface Detection Algorithm, Computer Graphics and Image Processing, vol. 15, no. 1 (1981), pp. 1-24.

H.H. Atkinson, Irene Gargantini, and M.V.S. Ramanath, Determination of the 3D Border by Repeated Elimination of Internal Surfaces, Computing 32 (1984), pp. 279-295.

Dominique Attali and Annick Montanvert, Semi-Continuous Skeletons of 2D and 3D Shapes, in C. Arcelli et al., eds., Aspects of Visual Form Processing, World Scientific, Singapore, 1994, pp. 32-41.

Brian Bailey, Chandrajit Bajaj, and Malcolm Fields, The Vaidak Medical Imaging and Model Reconstruction Toolkit, technical report CSD-TR-91-066, Computer Science Dept., Purdue University, Lafayette, IN, 1991.

C. L. Bajaj, Geometric modelling with algebraic surfaces, The Mathematics of Surfaces III, D. C. Handscomb, ed. Oxford University Press, (Proc. 2nd IMA Conf. on the Mathematics of Surfaces, Oxford, England, Sept. 1988), 1989.

Chandrajit Bajaj, Electronic Skeletons: Modeling Skeletal Structures with Piecewise Algebraic Surfaces Curves and Surfaces in Computer Vision and Graphics II, Boston MA, Nov. 12-14 1991, Proceedings of the International Society for Optical Engineering, vol. 1610, 1992, pp. 230-237.

Chandrajit Bajaj, Surface Fitting with Implicit Algebraic Surface Patches, in Topics in Surface Modeling, H. Hagen. editor, pp. 23-52, SIAM Publications. Phildelphia, PA, 1992.

Chandrajit Bajaj, The Emergence of Algebraic Curves and Surfaces in Geometric Design, in Directions in Geometric Computing, R. Martin. editor, pp. 1-29, Information Geometers Press. Winchester, UK, 1993.

Chandrajit Bajaj and Insung Ihm, Algebraic Surface Design with Hermite Interpolation, ACM Transactions on Graphics, vol. 11, no. 1, pp. 61-91, Jan. 1992.

Chandrajit Bajaj and Insung Ihm, C 1 Smoothing of Polyhedra with Implicit Algebraic Splines, Proceedings of SIGGRAPH 92 (Chicago, Illinois, Jul. 26-31, 1992). In Computer Graphics, 26, 2 (Jul. 1992) ACM SIGGRAPH, New York, 1992, pp. 79-88.

Chandrajit Bajaj and Andrew Royappa, Triangulation and Display of Arbitrary Rational Parameric Surfaces, Proceedings of IEEE Visualization 1994, Los Alamitos, CA, IEEE Computer Society Press, Los Alamitos CA, pp. 69-76.

C. L. Bajaj and Chen, J. and Xu, G., Interactive Modeling with A-Patches, technical report CSD-TR-93-002 (CAPO Report CER-93-02), Dept. of Computer Science, Purdue University, West Lafayette, IN, January, 1993.

Chandrajit Bajaj and Guoliang Xu, Modeling Scattered Function Data on Curved Surfaces, in J. Chen, N. Thalmann, Z. Tang, and D. Thalmann, editors, Fundamentals of Computer Graphics, pp. 19-29, Beijing, China, 1994.

C. L. Bajaj and Xu, G., A-splines: Local Interpolation and Approximation using C^k-continuous Piecewise Real Algebraic Curves, technical report CSD-TR-92-095 (CAPO Report CER-92-44), Dept. of Computer Science, Purdue University, West Lafayette, IN, December, 1992

Chandrajit Bajaj, Christoph Hoffmann, John Hopcroft, and Robert Lynch, Tracing Surface Intersections, Computer Aided Geometric Design, vol. 5, no. 4, Nov. 1988, pp. 285-307.

Chandrajit Bajaj, Insung Ihm and Joe Warren, Higher-Order Interpolation and Least-Squares Approximation Using Implicit Algebraic Surfaces, ACM Trans. on Graphics, vol. 12, no. 4, Oct., 1993, pp. 327-347.

Chandrajit Bajaj, Fausto Bernardini, and Guoliang Xu, Adaptive Reconstruction of Surfaces and Surface-on Surface from Dense Scattered Trivariate Data, technical report CS-95-028, Computer Science Dept., Purdue University, Lafayette, IN, 1994.

Chandrajit Bajaj, Fausto Bernardini, and Guoliang Xu, Automatic Reconstruction of Surfaces and Scalar Fields from 3D Scans, Proceedings of SIGGRAPH 95 (Los Angeles, CA, Aug. 6-11, 1995). In Computer Graphics Proceedings, Annual Conference Series, 1995, ACM SIGGRAPH, pp. 109-118.

Chandrajit Bajaj, Jindong Chen, and Guoliang Xu, Free-Form Modeling with C² Quintic A-Patches, 4 th SIAM conference on geometric design, Sep. 1995.

Chandrajit Bajaj, Jindong Chen, and Guoliang Xu, Modeling with Cubic A-Patches, ACM Transactions on Graphics, vol. 14, no. 2, pp. 103-133, Apr. 1995.

H. Harlyn Baker, Building Surfaces of Evolution: The Weaving Wall, International Journal of Computer Vision, vol. 3, pp. 51-71, 1989.

David Banks and Chris Weigle, Complex-Valued Contour Meshing, proceedings of Visualization 1996, IEEE Computer Soc. Press, Los Alamitos CA, pp. 173-180.

David Baraff, Dynamic Simulation of Non-Penetrating Rigid Bodies, Ph.D. Thesis, Cornell University, Ithaca, NY, May 1992.

David Baraff and Andrew Witkin, Dynamic Simulation of Non-Penetrating Flexible Bodies, Proceedings of SIGGRAPH 92 (Chicago, Illinois, Jul. 26-31, 1992). In Computer Graphics, 26, 2 (Jul. 1992) ACM SIGGRAPH, New York, 1992, pp. 303--308.

Robert Barnhill, Karsten Opitz, and Helmut Pottmann, Fat Surfaces: a Trivariate Approach to Triangle-based Interpolation on Surfaces, Computer Aided Geometric Design, vol. 9, no. 5, pp. 365-378, Oct. 1993.

Alan Barr, Superquadrics and Angle-Preserving Transformations, IEEE Computer Graphics and Applications, IEEE Comput. Soc. Press, Los Alamitos CA, vol. 1, no. 1, Los Alamitos, CA, Jan. 1981.

Alan Barr, Global and Local Deformations of Solid Primitives, Proceedings of SIGGRAPH 84 (Minneapolis MN, Jul. 23-27, 1984). In Computer Graphics, 18, 3 (Jul. 1984) ACM SIGGRAPH, New York, 1984, pp. 21-30.

Thad Beier, Practical Uses for Implicit Surfaces in Animation, unpublished course notes, Jules Bloomenthal and Brian Wyvill, editors, Modeling Visualizing, and Animating Implicit Surfaces (SIGGRAPH’93 course notes #25, Anaheim CA, 1993).

Eric Bittar, Nicolas Tsingos, Marie-Paule Gascuel, Automatic Reconstruction of Unstructured 3D Data: Combining Medial Axis and Implicit Surfaces, proc. Eurographics ’95 (Aug. 28-Sep. 1. 1995), in Computer Graphics Forum, vol. 14, no. 3, Eurographics Association, Maastricht, The Netherlands, F. Post and M. Gobel, eds., 1995.

James Blinn, A Generalization of Algebraic Surface Drawing, ACM Trans. Graphics, Vol. 1, No 3, Jul. 1982, pp. 135-256.

Jules Bloomenthal, Natural Shapes and Implicit Models, Proceedings of the Third International Conference on Engineering Graphics and Descriptive Geometry; Vienna, Austria; 11-16 July 1988, S. Slaby and H. Stachel, eds.

Jules Bloomenthal, Polygonization of Implicit Surfaces, Computer Aided Geometric Design, vol. 5, no. 4, Nov. 1988, pp. 341-355.

Jules Bloomenthal, Techniques for Implicit Modeling, Xerox Palo Alto Research Center technical report P89-00106, 1989 (and in Modeling and Animating with Implicit Surfaces notes, SIGGRAPH 1990).

Jules Bloomenthal, Hand Crafting, extended abstract, Proceedings of the 4th Western Computer Graphics Symposium, Banff, Alberta, Apr. 1992, University of Alberta, pp. 129-131.

Jules Bloomenthal, An Implicit Surface Polygonizer, in Graphics Gems IV, Paul Heckbert, editor, Academic Press, New York, 1994. Software available via anonymous ftp from Princeton.edu, /pub/Graphics/GraphicsGems/GemsIV/.

Jules Bloomenthal, Skeletal Design of Natural Forms, Ph.D. dissertation, Dept. of Computer Science, University of Calgary, Alberta, 1995.

Jules Bloomenthal, Bulge Elimination in Convolution Surfaces, Computer Graphics Forum, vol. 16, no. 1, 1997, pp. 1-11.

Jules Bloomenthal and Keith Ferguson, Polygonization of Non-Manifold Surfaces, Proceedings of SIGGRAPH 95 (Los Angeles, CA, Aug. 6-11, 1995). In Computer Graphics Proceedings, Annual Conference Series, 1995, ACM SIGGRAPH, pp. 309-316.

Jules Bloomenthal and Ken Shoemake, Convolution Surfaces, Proceedings of SIGGRAPH 91 (Las Vegas, Nevada, Jul. 28-Aug. 2, 1991). In Computer Graphics, 25, 4 (Jul. 1991) ACM SIGGRAPH, New York, 1991, pp. 251-256.

Jules Bloomenthal and Brian Wyvill, Interactive Techniques for Implicit Modeling, Symposium on Interactive 3D Computer Graphics, Snowbird, UT, in Computer Graphics, 24, 2, Mar. 1990, pp. 109-116.

W. Boehm, On Cyclides in Geometric Modeling, Computer Aided Geometric Design, v. 7, n. 1-4, pp. 243 -- 255, 1990.

W. Boehm, Some Remarks on Quadrics, Computer Aided Geometric Design, v. 10, n. 3, 4, pp. 231-236, 1993.

Jean-Daniel Boissonnat, Geometric Structures for Three-Dimensional Shape Representation, IEEE Transactions on Graphics, vol. 3, no. 4, pp. 266-286, Oct. 1984.

Ian Braid, Superficial Blends in Geometric Modeling, CAD Group Document, no. 105, Cambridge University, U.K. 1980.

Jonathan Brandt and V. Ralph Algazi, Continuous Skeleton Computation by Voronoi Diagram, Computer Vision, Graphics, and Image Processing: Image Understanding, vol. 55, no. 3, pp. 329-337, 1992.

David Breen, Constructive Cubes: CSG Evaluation for Display using Discrete 3-D Scalar Data Sets EUROGRAPHICS ’91. Proceedings of the European Computer Graphics Conference and Exhibition, Vienna Austria, Sept. 2-6 1991, F.H. Post, W. Barth, eds.

Willem Bronsvoort, Direct Display Algorithms for Solid Modeling, Jun. 1990, Ph.D. dissertation, Delft University of Technology, Delft, Netherlands.

Ingrid Carlbom, An Algorithm for Geometric Set Operations using Cellular Subdivision Techniques, IEEE Computer Graphics and Applications, vol. 7, no. 5, IEEE Comput. Soc. Press, Los Alamitos CA, May 1987, pp. 44-55

A. Castelo, Sergio de Freitas, and Geovan Tavares, PL Approximation to Manifolds and its Application to Implicit ODEs, Lectures in Applied Mathematics, vol. 26, 1990, pp. 99-111.

A. Castelo, Sergio de Freitas, and Geovan Tavares, Simplicial Approximation of Implicitly-Defined Manifolds, technical report, Dept. of Mathematics, Pontificia Universidade Católica, Rio de Janeiro Brazil, Mar. 1991.

V. Chandru, Dutta, D. and Hoffmann, C. M., On the Geometry of Dupin Cyclides, The Visual Computer, v. 5, pp. 277-290, 1989

Vijaya Chandru, Debasish Dutta, and Christoph Hoffmann, Variable Radius Blending using Dupin Cyclides, Geometric Modeling for Product Engineering, M.J. Wozny, J.U. Turner, and K. Preiss, editors, Elsevier Science Publishers, Amsterdam, 1990.

Hiroaki Chiyokura, Solid Modeling with Designbase, Addison-Wesley, Reading, Mass, 1988.

Hiroaki Chiyokura and Fumihiko Kimura, Design of Solids with Free-Form Surfaces, Proceedings of SIGGRAPH 83 (Detroit Mich, Jul. 25-29, 1983). In Computer Graphics, 17, 3 (Jul. 1983) ACM SIGGRAPH, New York, 1983, pp. 25-29.

Jung-Hong Chuang and Woan-Chiaun Lee, Efficient Generation of Isosurfaces in Volume Rendering, Computers and Graphics, vol. 19, no. 6, Nov./Dec. 1995, pp. 805-813.

John Cleary and Geoff Wyvill, Analysis of an Algorithm for Fast Ray Tracing using Uniform Space Subdivision, The Visual Computer, Vol. 4, No. 2, 1988, pp. 65-83.

Harvey Cline, Charles duMoulin, Howard Hart, Jr., William Lorensen, and Siegwalt Ludke, 3D Reconstruction of the Brain from Magnetic Resonance Images using a Connectivity Algorithm, Magnetic Resonance Imaging, vol. 5, no. 5, pp. 345-352, 1987.

Harvey Cline, William Lorensen, Siegwalt Ludke, Carl Crawford and Bruce Teeter, Two Algorithms for the Three-Dimensional Construction of Tomograms, Medical Physics, vol. 15, no. 3, pp. 320-327, Jun. 1988.

A. Coffman, A. J. Schwartz and C. Stanton, The Algebra and Geometry of Steiner and other Quadratically Parametrizable Surfaces, Computer Aided Geometric Design, v. 13, n. 3, pp. 257-286, 1996.

Steven Colburn, Solid Modeling with Global Blending for Machining Dies and Patterns, SAE Technical Paper Series #900878, Society of Automotive Engineers, Inc., 1990.

Paul Comba, A Procedure for Detecting Intersections of Three-Dimensional Objects, JACM, vol. 15, no. 3, pp. 354-366, 1968.

Benoit Crespin, Carole Blanc, Christophe Schlick, Implicit Sweep Objects, Proc. Eurographics’96 (Futuroscope-Poitiers, France, Aug. 26-30 1996, J. Rossignac and F. Sillion, eds.), Computer Graphics Forum (conference issue), vol. 15, no. 3, 1996, pp. 165-174.

Brian Curless and Marc Levoy, A Volumetric Method for Building Complex Models from Range Images, Proceedings of SIGGRAPH 96 (New Orleans, LA, Aug. 4-9, 1996). In Computer Graphics Proceedings, Annual Conference Series, 1996, ACM SIGGRAPH, pp. 303-312.

W. Dahmen and Thamm-Schaar, T.-M., Cubicoids: Modelling and Visualization, Computer Aided Geometric Design, v. 10, n. 2, pp. 93-108, 1993

Wolfgang Dahmen, Smooth Piecewise Quadratic Surfaces, in Mathematical Methods in Computer Aided Geometric Design, ed. by T. Lyche and L. Schumaker Academic Press, Boston, 1989.

J. Roy Davis, Roger Nagel, and Walter Guber, A Model Making and Display Technique for 3-D Pictures, Proceedings of the 7th Annual Meeting of UAIDE, San Francisco, Oct. 1968, pp. 47-72.

W. L. F. Degen, Surfaces with a Conjugate Net of Conics in Projective Space, Tensor, N.S., v. 39, pp. 167-172, 1982.

W. L. F. Degen, Generalised Cyclides for use in Computer Aided Geometric Design, Computer Aided Surface Geometry and Design, A. D. Bowyer, ed., Oxford University Press, 1994 (Proc. 4th IMA Conf. on the Mathematics of Surfaces, Bath, England, Sept. 1990).

W. L. F. Degen, Nets with Plane Silhouettes, Design and Application of Curves and Surfaces, R. B. Fisher, ed., Oxford University Press, 1994 (Proc. 5th IMA Conf. on the Mathematics of Surfaces, Edinburgh, Scotland, Sept. 1992).

W. L. F. Degen, Nets with Plane Silhouettes II, Mathematics of Surfaces VII, T. N. T. Goodman and R. R. Martin, eds., Information Geometers Ltd., Winchester, Ukm 1997 (Proc. 7th IMA Conf. on the Mathematics of Surfaces, Dundee, Scotland, Sept. 1996).

Jose de Espona, The Basics of Building a Dinosaur, Computer Graphics World, July, 1995, pp. 79-81.

J. J. de Pont, Essays on the Cyclide Patch, Ph.D. dissertation, Cambridge University Engineering Department, 1984.

R. Dietz, Hoschek, J. and Jüttler, B., An Algebraic Approach to Curves and Surfaces on the Sphere and on Other Quadrics, Computer Aided Geometric Design, v. 10, n. 3, 4, pp. 211-229, 1993.

Luiz de Figueiredo and Jonas de Miranda Gomes, Sampling Implicit Objects with Physically-based Particle Systems, Computers and Graphics, vol. 20, no. 3, May/Jun. 1996, pp. 363-375.

Luiz de Figueiredo, Jonas de Miranda Gomes, Dimitri Terzopoulos, and Luiz Velho, Physically-Based Methods for Polygonization of Implicit Surfaces Proceedings. Graphics Interface ’92, Vancouver, BC, Canada, 11-15 May 1992, Morgan Kaufmann, San Francisco, pp. 250-257.

Luiz de Figueiredo and Jorge Stolfi, Adaptive Enumeration of Implicit Surfaces with Affine Arithmetic, Computer Graphics Forum, vol. 15, no. 5, Dec. 1996, p. 287-296.

Sergio de Freitas and Geovan Tavares, Solving Implicit ODEs by Simplicial Methods, in Curves and Surfaces, P. Laurent, A. Le Méhauté, and L. Schumaker, editors, Academic Press, Boston, 1991, pp. 193-196.

Mathieu Desbrun and Marie-Paule Gascuel, Highly Deformable Material for Animation and Collision Processing, in 5th Eurographics Workshop on Animation and Simulation, Oslo, Norway, G. Hegron and O. Fahlander, eds., Eurographics Association, Sep. 1994.

Mathieu Desbrun and Marie-Paule Gascuel, Animating Soft Substances with Implicit Surfaces, Proceedings of SIGGRAPH 95 (Los Angeles, CA, Aug. 6-11, 1995). In Computer Graphics Proceedings, Annual Conference Series, 1995, ACM SIGGRAPH, pp. 287-290.

Mathieu Desbrun, Nicolas Tsingos, and Marie-Paule Gascuel, Adaptive Sampling of Implicit Surfaces for Interactive Modeling and Animation, in Implicit Surfaces 95, the First Eurographics Workshop on Implicit Surfaces, Grenoble, France, M-P. Gascuel and B. Wyvill, eds., Eurographics Association, Apr. 1995, pp. 171-185.

David Dobkin, William Thurston, and Allan Wilks, Robust Contour Tracing, Dept. of Computer Science technical report CS-TR-054-86, Princeton University, 1986.

David Dobkin, Silvio Levy, William Thurston, and Allan Wilks, Contour Tracing by Piecewise Linear Approximations, ACM Transactions on Graphics, vol. 9, no. 4, Oct. 1990, pp. 389-423.

Akio Doi and Akoi Koide, An Efficient Method of Triangulating Equi-Valued Surfaces by Using Tetrahedral Cells, Institute of Electronics, Information and Communications Engineers Transactions, vol. E74, no. 1, Jan. 1991, pp. 214-224.

Robert Drebin, Loren Carpenter, and Pat Hanrahan, Volume Rendering, Proceedings of SIGGRAPH 88 (Atlanta, Georgia, Aug. 1-5, 1988). In Computer Graphics, 22, 4 (Aug. 1988) ACM SIGGRAPH, New York, 1988, pp. 65-74.

Tom Duff, Interval Arithmetic and Recursive Subdivision for Implicit Functions and Constructive Solid Geometry, Proceedings of SIGGRAPH 92 (Chicago, Illinois, Jul. 26-31, 1992). In Computer Graphics, 26, 2 (Jul. 1992) ACM SIGGRAPH, New York, 1992, pp. 131-138.

Martin Dürst, Additional Reference to Marching Cubes, Computer Graphics, 22, 2, Apr. 1988, pp. 72-73.

D. Dutta, Martin, R. R. and Pratt, M. J. , Cyclides in Surface and Solid Modeling, IEEE Computer Graphics and Applications, v. 13, n. 1, pp. 53-59, 1993.

Ivor Faux and Michael Pratt, Computational Geometry for Design and Manufacture, Ellis Horwood, Chichester U.K., 1979.

Keith Ferguson, Surface Reconstruction, Ph.D. dissertation, Dept. of Computer Science, University of Calgary, Alberta, 1996.

Eric Ferley, Maire-Paule Cani-Gascuel, Dominique Attali, Skeletal Reconstruction of Branching Shapes, Implicit Surfaces 96, a Eurographics and ACM workshop, J. Hart and K. van Overveld, eds., Eurographics Association, pp. 127-142.

P.O. Fjöllström, Integration of Free-form Surfaces and Solid Modeling, Ph.D. dissertation, Dept. of Numerical Analysis and Computing Science, Royal Institute of Technology, Stockholm, 1985.

H. Freudenthal, Simplizialzerlegungen von Beschränkter Flachheit, Annals of Mathematics, vol. 43, pp. 580-582, 1942.

Pascal Frey and Houman Borouchaki, Texel: Triangulation de Surfaces Implicites. Partie II: Exemples d'Applications, report RR-3106.

Pascal Frey and Houman Borouchaki Texel: Triangulation de Surfaces Implicites. Partie I: Aspects Thioriques, report RR-3066.

Isao Fujii, Yukio Morimoto, Yoshiki Higuchi and Noritake Yasuoka, A Polypeptide Model-Building Program for a Graphics Workstation, Journal of Molecular Graphics, vol. 10, no. 3, Sept., 1992, pp. 185-189.

Akira Fujimoto and Kansei Iwata, Accelerated Ray Tracing, Computer Graphics, Visual Technology, and Art: Proceedings of Computer Graphics Tokyo ’85, Springer-Verlag, New York, 1985, pp. 41-65.

Takushi Fujita, Katsuhiko Hirota and Kouichi Murakami, Representation of Splashing Water using Metaball Model, Fujitsu, 1990, vol. 41, no. 2, pp. 159-165, in Japanese.

Andre Gagalowicz and Song de Ma, Model Driven Synthesis of Natural Textures for 3-D Scenes, Eurographics ’85, C.E. Vandoni, editor, Elsevier Science, Amsterdam, 1985.

Eric Galin and Samir Akkouche, Blob Metamorphosis based on Minkowski Sums, Proc. Eurographics’96 (Futuroscope-Poitiers, France, Aug. 26-30 1996, J. Rossignac and F. Sillion, eds.), Computer Graphics Forum (conference issue), vol. 15, no. 3, 1996, pp. 143-154.

Richard Gallagher and Joop Nagtegaal, An Efficient 3D Visualization Technique for Finite Element Models and Other Coarse Volumes, Proceedings of SIGGRAPH 89 (Boston, MA, Jul. 31-Aug. 4, 1989). In Computer Graphics, 23, 4 (Aug. 1989) ACM SIGGRAPH, New York, 1989, pp. 185-194.

Tinsley Galyean and John Hughes, Sculpting: An Interactive Volumetric Modeling Technique, Proceedings of SIGGRAPH 91 (Las Vegas, Nevada, Jul. 28-Aug. 2, 1991). In Computer Graphics, 25, 4 (Jul. 1991) ACM SIGGRAPH, New York, 1991, pp. 267-274.

Michael Garrity, Raytracing Irregular Volume Data, (proceedings of the Workshop on Volume Visualization, San Diego, Dec. 1990), Computer Graphics, vol. 24, no. 5, pp. 35-40, Nov. 1990.

Tom Garrity and Joe Warren, Geometric Continuity, Computer Aided Geometric Design, 1991, vol. 8, no. 1, pp. 51-65.

T. Garrity and Warren, J., On Computing the Intersection of a Pair of Algebraic Surfaces, Computer Aided Geometric Design, v. 6, n. 2, pp. 137-153, 1989.

Jean-Dominique Gascuel, Implicit Patches: an Optimized and Powerful Ray Intersection Algorithm for Implicit Surfaces, in Implicit Surfaces 95, the First Eurographics Workshop on Implicit Surfaces, Grenoble, France, M-P. Gascuel and B. Wyvill, eds., Eurographics Association, Apr. 1995, pp. 143-159.

Marie-Paule Gascuel, An Implicit Formulation for Precise Contact Modeling between Flexible Solids, Proceedings of SIGGRAPH 93 (Anaheim, California, Aug. 1-6, 1993). In Computer Graphics Proceedings, Annual Conference Series, 1993, ACM SIGGRAPH, pp. 313-320.

Kurt Georg, Approximation of Integrals for Boundary Element Methods, SIAM Journal on Scientific and Statistical Computing, SIAM J. Sci. Stat. Comput., vol.12, no.2, Mar. 1991 pp. 443-53.

Pijush Ghosh and S. Mudur, The Brush-Trajectory Approach to Figure Specification: Some Algebraic Solutions, ACM Transactions on Graphics, vol. 3, no. 2, Apr. 1984, pp. 110-134.

Andrew Glassner, Space Subdivision for Fast Ray Tracing. IEEE Computer Graphics and Applications, IEEE Comput. Soc. Press, Los Alamitos CA, 4, 10, Oct. 1984, pp. 15-22.

Andrew Glassner, editor, An Introduction to Ray Tracing. Academic Press, London, 1989.

Andrew Glassner, Principles of Digital Image Synthesis, Morgan Kaufmann, San Francisco, 1995.

R. N. Goldman, Quadrics of Revolution, IEEE Computer Graphics and Applications, v. 3, n. 2, pp. 68-76, 1983.

R. N. Goldman, Two Approaches to a Computer Model for Quadric Surfaces, IEEE Computer Graphics and Applications, v. 3, n. 6, pp. 21-24, 1983.

Jeff Goldsmith and Allan Jacobson, Marching Cubes in Cylindrical and Spherical Coordinates, Journal of Graphics tools, vol. 1, no. 1, 1996, pp. 21-31.

Robert Goldstein and Roger Nagel, 3D Visual Simulation. Simulation vol. 16, no. 1 (Jan. 1971), pp. 25-31.

Jonas Gomes and Luiz Velho, Implicit Objects in Computer Graphics, Monografias de Matematica No. 53, Instituto de Matematica Pura e Aplicado, Rio de Janeiro, 1992.

Ardeshir Goshtasby and William D. O’Neill, Curve Fitting by a Sum of Gaussians, Computer Vision, Graphics, and Image Processing: Graphical Models and Image Processing, vol. 56, no. 4, Jul. 1994, pp. 281-288.

Jean-Paul Gourret, Nadia Thalmann, and Daniel Thalmann, Simulation of Object and Human Skin Deformations in a Grasping Task, Proceedings of SIGGRAPH 89 (Boston, MA, Jul. 31-Aug. 4, 1989). In Computer Graphics, 23, 4 (Aug. 1989) ACM SIGGRAPH, New York, 1989, pp. 21-30.

Gaye Graves, The Magic of Metaballs, Computer Graphics World, vol. 16, no. 5, May 1993, pp. 27-32.

Ned Greene, Voxel Space Automata: Modeling with Stochastic Growth Processes in Voxel Space, Proceedings of SIGGRAPH 89 (Boston, MA, Jul. 31-Aug. 4, 1989). In Computer Graphics, 23, 4 (Aug. 1989) ACM SIGGRAPH, New York, 1989, pp. 175-184.

Ned Greene, Detailing Tree Skeletons with Voxel Automata, unpublished course notes, Masa Inakage, editor, Photorealistic Volume Modeling and Rendering (SIGGRAPH’91) course notes #27, Las Vegas NV, 1991.

André Guêziec and Robert Hummel, Exploiting Triangulated Surface Extraction using Tetrahedral Decomposition, IEEE Transactions on Visualization and Computer Graphics, vol. 1, no. 4, Dec. 1995, pp. 328-342.

B. Guo, Modeling Arbitrary Smooth Objects with Algebraic Surfaces, Ph.D. dissertation, Dept. of Computer Science, Cornell University, Ithaca, NY, .1991

Baining Guo, Surface Generation using Implicit Cubics, in N.M. Patrikalakis, editor, Scientific Visualization of Physical Phenomena, pp. 495-530, Springer-Verlag, Tokyo, 1991.

Baining Guo, Non-Splitting Macro Patches for Implicit Cubic Spline Surfaces, Computer Graphics Forum, vol. 12, no. 3, pp. 434-445, 1993.

Andrew Guy and Brian Wyvill, Controlled Blending for Implicit Surfaces using a Graph, in Implicit Surfaces 95, the First Eurographics Workshop on Implicit Surfaces, Grenoble, France, Eurographics Association, M-P. Gascuel and B. Wyvill, eds., Apr. 1995, pp. 107-112.

Mark Hall and Joe Warren, Adaptive Polygonalization of Implicitly Defined Surfaces, IEEE Computer Graphics and Applications, IEEE Comput. Soc. Press, Los Alamitos CA, vol. 10, no. 6, Nov. 1990 pp. 33-42.

Pat Hanrahan, Ray Tracing Algebraic Surfaces, Proceedings of SIGGRAPH 83 (Detroit Mich, Jul. 25-29, 1983). In Computer Graphics, 17, 3 (Jul. 1983) ACM SIGGRAPH, New York, 1983, pp. 83-90.

Pat Hanrahan, Three-Pass Affine Transforms for Volume Rendering, (Proceedings of the Workshop on Volume Visualization, San Diego, Dec. 1990), Computer Graphics, vol. 24, no. 5, pp. 71-78, 1990.

John Hart, Sphere-Tracing: A Geometric Method for the Antialiased Ray Tracing of Implicit Surfaces, The Visual Computer, vol. 12, no. 10, Dec. 1996, pp. 527-545.

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