Interpolating nets of curves by smooth subdivision surfaces

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Interpolating nets of curves by smooth subdivision surfaces

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International Conference on Computer Graphics and Interactive Techniques archive
Proceedings of the 26th annual conference on Computer graphics and interactive techniques table of contents

Pages: 57 - 64

Year of Publication: 1999

ISBN:0-201-48560-5

Author

Adi Levin

Tel Aviv University

Sponsor

SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques

Publisher

ACM Press/Addison-Wesley Publishing Co. New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 6, Downloads (12 Months): 48, Citation Count: 14

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	E. Catmull and J. Clark. Recursively generated b-spline surfaces on arbitrary topological meshes. Computer Aided Design, 10:350-355, 1978.
	2	Tony DeRose , Michael Kass , Tien Truong, Subdivision surfaces in character animation, Proceedings of the 25th annual conference on Computer graphics and interactive techniques, p.85-94, July 1998 [doi>10.1145/280814.280826]
	3	D. Doo and M. Sabin. Behaviour of recursive division surface near extraordinary points. Computer Aided Design, 10:356- 360, 1978.
	4	Nira Dyn , David Levine , John A. Gregory, A butterfly subdivision scheme for surface interpolation with tension control, ACM Transactions on Graphics (TOG), v.9 n.2, p.160-169, April 1990 [doi>10.1145/78956.78958]
	5	Mark Halstead , Michael Kass , Tony DeRose, Efficient, fair interpolation using Catmull-Clark surfaces, Proceedings of the 20th annual conference on Computer graphics and interactive techniques, p.35-44, September 1993 [doi>10.1145/166117.166121]
	6	L. Kobbelt, T. Hesse, H. Prautzsch, and K. Schweizerhof. Interpolatory subdivision on open quadrilateral nets with arbitrary topology. Computer Graphics Forum, 15:409-420, 1996. Eurographics '96 issue.
	7	A. Levin. Analysis of combined subdivision schemes 1. in preparation, available on the web at http://www.math.tau.ac.il/-adilev, 1999.
	8	A. Levin. Analysis of combined subdivision schemes 2. in preparation, available on the web at http://www.math.tau.ac.il/-adilev, 1999.
	9	A. Levin. Analysis of combined subdivision schemes for the interpoation of curves. SIGGRAPH'99 CDROM Proceedings, 1999.
	10	Adi Levin, Combined subdivision schemes for the design of surfaces satisfying boundary conditions, Computer Aided Geometric Design, v.16 n.5, p.345-354, June 1999 [doi>10.1016/S0167-8396(98)00051-X]
	11	C. Loop. Smooth spline surfaces based on triangles. Master's thesis, University of Utah, Department of Mathematics, 1987.
	12	A. Nasri, Curve interpolation in recursively generated B-spline surfaces over arbitrary topology, Computer Aided Geometric Design, v.14 n.1, p.13-30, Jan. 1997 [doi>10.1016/S0167-8396(96)00018-0]
	13	A. H. Nasri. Interpolation of open curves by recursive subdivision surface. In T. Goodman and R. Martin, editors, The Mathematics of Surfaces VII, pages 173-188. Information Geometers, 1997.
	14	M. A. Sabin, Cubic recursive division with bounded curvature, Curves and surfaces, Academic Press Professional, Inc., San Diego, CA, 1991
	15	Jean Elaine Schweitzer , Anthony D. Derose, Analysis and application of subdivision surfaces, 1996
	16	D. J. T. Storry , A. A. Ball, Design of an n-sided surface patch from Hermite boundary data, Computer Aided Geometric Design, v.6 n.2, p.111-120, May 1989 [doi>10.1016/0167-8396(89)90014-9]
	17	Gabriel Taubin, A signal processing approach to fair surface design, Proceedings of the 22nd annual conference on Computer graphics and interactive techniques, p.351-358, September 1995 [doi>10.1145/218380.218473]
	18	Denis Zorin , Peter Schröder , Wim Sweldens, Interpolating Subdivision for meshes with arbitrary topology, Proceedings of the 23rd annual conference on Computer graphics and interactive techniques, p.189-192, August 1996 [doi>10.1145/237170.237254]

CITED BY 15

	Leif Kobbelt, √3-subdivision, Proceedings of the 27th annual conference on Computer graphics and interactive techniques, p.103-112, July 2000
	Henning Biermann , Adi Levin , Denis Zorin, Piecewise smooth subdivision surfaces with normal control, Proceedings of the 27th annual conference on Computer graphics and interactive techniques, p.113-120, July 2000
	Jörg Peters, Patching Catmull-Clark meshes, Proceedings of the 27th annual conference on Computer graphics and interactive techniques, p.255-258, July 2000
	Henning Biermann , Ioana M. Martin , Denis Zorin , Fausto Bernardini, Sharp features on multiresolution subdivision surfaces, Graphical Models, v.64 n.2, p.61-77, March 2002
	Lexing Ying , Denis Zorin, Nonmanifold subdivision, Proceedings of the conference on Visualization '01, October 21-26, 2001, San Diego, California
	S. Schaefer , J. Warren , D. Zorin, Lofting curve networks using subdivision surfaces, Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing, July 08-10, 2004, Nice, France
	A. Levin, Polynomial generation and quasi-interlpolation in stationary non-uniform subdivision, Computer Aided Geometric Design, v.20 n.1, p.41-60, March 2003
	Jianmin Zheng , Yiyu Cai, Interpolation over Arbitrary Topology Meshes Using a Two-Phase Subdivision Scheme, IEEE Transactions on Visualization and Computer Graphics, v.12 n.3, p.301-310, May 2006
	H. Hussein Karam , F. F. M. Ghaleb , Y. M. Abd El-Latif, Towards fast and smooth subdivision surface reconstruction, International Journal of Computers and Applications, v.28 n.2, p.170-176, April 2006
	Denis Zorin, Modeling with multiresolution subdivision surfaces, ACM SIGGRAPH 2006 Courses, July 30-August 03, 2006, Boston, Massachusetts
	Kun Gao , Hwajin Park , Alyn Rockwood , Dick Sowar, Attribute based interfaces for geometric modeling, Proceedings of the 2006 ACM SIGGRAPH symposium on Videogames, p.107-112, July 30-31, 2006, Boston, Massachusetts
	Gabriel Taubin , William Klug, Hierarchical G¹ smooth surface interpolation with local control, ACM SIGGRAPH 2005 Posters, July 31-August 04, 2005, Los Angeles, California
	Haining Mou , Guohui Zhao , Zhirui Wang , Zhixun Su, Simultaneous blending of convex polyhedra by S32 algebraic splines, Computer-Aided Design, v.39 n.11, p.1003-1011, November, 2007
	Gill Barequet , Amir Vaxman, Nonlinear interpolation between slices, Proceedings of the 2007 ACM symposium on Solid and physical modeling, June 04-06, 2007, Beijing, China
	Guillaume Lavoué , Florent Dupont, Technical Section: Semi-sharp subdivision surface fitting based on feature lines approximation, Computers and Graphics, v.33 n.2, p.151-161, April, 2009