• Overview
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• Technical Report
• Surface of the Week

Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms, by Abel J. P. Gomes (Author), Irina Voiculescu (Author), Joaquim Jorge (Author), Brian Wyvill (Author), Callum Galbraith (Author).

Papers

• May 28: Implicit manifolds, triangulations, and dynamics, L. Velho, J. de M. Gomes, D. Terzopoulos, Journal of Neural, Parallel, and Scientific Compuations, 5(1-2), 1997, 103-120. Special Issue on "Computer Aided Geometric Design." Relate papers:
  • 1. Richard Szeliski and David Tonnesen. Surface modeling with oriented particle systems. Technical Report, 1991. available online: http://www.hpl.hp.com/techreports/Compaq-DEC/CRL-91-14.html
  • 2. F. LEVET, X. GRANIER, C. SCHLICK. Fast sampling of implicit surfaces by parti cle systems. SMI 2006. available online: http://www.labri.fr/publications/is/2006/LGS06/
• July 16: Robust moving least-squares fitting with sharp features, Fleishman, Daniel Cohen-Or, Claudio Silva.
• July 9: Interactive modeling of implicit surfaces using a direct visualization approach with signed distance functions
• Loop C, Blinn J., Real-time GPU rendering of piecewise algebraic surfaces. ACM Transactions on Graphics 2006; 25(July):664-70.
• Locally Restricted Blending of BlobTrees Erwin de Groot, Brian Wyvill, Huub van de Wetering Computers And Graphics, vol 33, no. 6, pp 690--697 Dec 2009. (possibly superseded by newer work)
• Greg Turk and James F. O'Brien. Modelling with Implicit Surfaces that Interpolate. ACM Transactions on Graphics 21(4) Oct. 2002, pp. 855-873.
• June 25: WarpCurves: A Tool for Explicit Manipulation of Implicit Surfaces Masamichi Sugihara, Brian Wyvill and Ryan Schmidt SMI 2010. slected for special issue of Computers And Graphics, vol , no. , pp June 2010,
• May 22: An Evaluation of Implicit Surface Tilers Paul Ning, Jules Bloomenthal, Computer Graphics and Applications, 1993.
• June 25: Complex Skeletal Implicit Surfaces with Levels of Detail, Aurelien Barbier, Eric Galin, Samir Akkouche, WSCG 2004.
• The HybridTree: Mixing Skeletal Implicit Surfaces, Triangle Meshes and Point Sets in a Free-form Modeling System Remi Allegre, Aurelien Barbier, Eric Galin, Samir Akkouche, GMOD/SMI 2004.
• ??? See the paper list for John Hart's Shape Modeling course. Caution: some of the papers listed here are not on implicit surfaces.
• ??? See the paper list of Luiz Henrique de Figueiredo
• ??? Other papers on Ryan Schmidt's page.
• ??? On the velocity of an implicit surface
• ??? Implicit Blending Revisited Bernhardt Adrien, Barthe Loïc, Cani Marie-Paule, Wyvill Brian Comput. Graph. Forum, 29 (2), 367–375, 2010.
• http://webhome.cs.uvic.ca/~blob/papers.html
• ??? E. Vital Brazil, I. Macedo, M.C. Sousa, L. Velho, L.H. de Figueiredo [2011]: Shape & Tone Depiction for Implicit Surfaces. Computers & Graphics - NPAR 2010 Special Issue 35(1): 43-53

• Bajaj, Chen, Xu, Modeling with cubic A-patches, ACM TOG 1995.
• G. Xu, C. Bajaj, H. Huang C1 Modeling with A-patches from Rational Trivariate Functions, Computer Aided Geometric Design, 18:3(2001), 221-243. (pdf) (LocalPDF)
• Curtis Luk and Stephen Mann, ``Tessellating Algebraic Curves and Surfaces Using A-Patches,'' in the GRAPP 2009 Conference Proceedings. 8 pages.
• Stephen Mann, ``Extending the A-Patch single sheet conditions to enable the tessellation of algebraics.'' In the proceedings for the ACM/SIAM Solid and Physical Modeling Conference, 2009.
• Stephen Mann, Using A-patches to Tessellate Algebraic Curves and Surfaces, Research Report CS-2009-21, David R Cheriton School of Computer Science, University of Waterloo (June 2009)
• L. Alberti, G. Comte, and B. Mourrain. Meshing implicit algebraic surfaces: the smooth case. In L.L. Schumaker, M. Maehlen, and K. Morken, editors, Mathematical Methods for Curves and Surfaces: Tromso '04. Nashboro, 2005.

• June 4: Andrew Guy and Brian Wyvill, Controlled blending for implicit surfaces, Implicit Surfaces 95.
• June 4: Brian Wyvill and Eric Galin and Andrew Guy, Extending The CSG Tree. Warping, Blending and Boolean Operations in an Implicit Surface Modeling System, Computer Graphics Forum, 1999.
• June 11: L. Barthe and Brian Wyvill and Erwin DeGroot, Binary CSG Operators For Soft-Objects, International Journal of Shape Modeling, 2004. (Published title: CONTROLLABLE BINARY CSG OPERATORS FOR "SOFT OBJECTS").

• May 22: Wyvill, McPheeters, and Wyvill, Data structure for Soft Objects, The Visual Computer, 2(4):227--324, 1986.
• May 22: William E. Lorensen and Harvey E. Cline. Marching cubes: A high resolution 3D surface construction algorithm. Computer Graphics, Volume 21, Number 4, July 1987, pages 163{169, 1987.
• Hall and Warren, Adaptive polygonization of implicitly defined surfaces, IEEE Computer Graphics and Applicatins, 1990.

• June 4: James F. Blinn A Generalization of Algebraic Surface Drawing ACM Transactions on Graphics, July 1982
• May 22: Jules Bloomenthal Polygonization of Implicit Surfaces Computer Aided Geometric Design, Issue 5, 1988
• Brian Wyvill, Craig McPheeters, Geoff Wyvill Animating Soft Objects The Visual Computer, Issue 4 1986
• Brian Wyvill, Craig McPheeters, Geoff Wyvill Soft Objects Advanced Computer Graphics (Proc. CG Tokyo 1986)
• Brian Wyvill, Geoff Wyvill Field Functions for Implicit Surfaces Visual Computer, Issue 5 1989
• Fujita, T., Hirota, K. and Murakami, K Representation of Splashing Water using Metaball Model Fujitsu, 1990, Vol 41, part 2, pp 159-165