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Surface design with minimum energy networks
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Source ACM Symposium on Solid and Physical Modeling archive
Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications table of contents
Austin, Texas, United States
Pages: 291 - 301  
Year of Publication: 1991
ISBN:0-89791-427-9
Authors
Henry Moreton  Computer Science Division, Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, California
Carlo Séquin  Computer Science Division, Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, California
Sponsor
SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques
Publisher
ACM  New York, NY, USA
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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.

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G. Birkhoff and C. R. de Boor, Nonlinear Interpolation by Splines, Pseudosplines, and Elastica, General Motors Research Publication No. 468, 1965.
 
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V. Chandru, Debasish Dutta, Christoph M. Hoffmann, Variable Radius Blending Using Dupin Cyclides, in Geometric Modeling for Product Engineering, M. J. Wozny, J. U. Turner, and K. Preiss (editor), 39-57, 1990, North-Holland Pub- Company.
 
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M.P. Do Canno, Differential Geometry of Curves and Surfaces, Prentice Hall, Englewood Cliffs, New Jersey, 1976, 145.
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S.D. Fisher and j. W. Jerome, Stable and Unstable Elastica Equilibrium and the Problem of Minimum Curvature, Journal of Mathematical Analysis and Applications, 53, 1976, 367-376.
 
8
J.M. Glass, Smooth-Curve Interpolation: A Generalized Spline-Fit Procedure, BIT, 9, 1966, 277- 293.
 
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H. Hagen, Geometric Spline Curves, Computer Aided Geometric Design, 20:223-227, 1985.
 
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J.W. Jerome, Smooth Interpolating Curves of Prescribed Length and Minimum Curvature, Proceedings of the American Mathematical Society, 51, 1, August 1975, 62-66
 
15
E.D. Jou, W. Han, Minimal Energy Splines with Various End Constraints, in Curve and Surface Modeling, SIAM Frontiers in Applied Mathematics Series, 1990.
 
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M. Kosters, Quadratic Blending Surfaces for Complex Comers, The Visual Computer, 5, 3, June 1989, 134-146.
 
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E.H. Lee, G. E. Forsythe, Variational Study of Nonlinear Spline Curves, SIAM review, 15, 1, January 1973, 120-133.
 
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M.A. Malcolm, On the Computation of Nonlinear Spline Functions, SlAM Journal of Numerical Analysis, 15, 2, April 1977, 254-282.
 
20
E. Mehlum, Curve and Surface Fitting Based on Variational Criteria for Smoothness, Central Institute for Industrial Research, Oslo, Norway, 1969.
 
21
G.M. Nielson, R. Franke, Surface Construction Based upon Triangulations, in Surfaces in CAGD, R. E Bamhill, and W. Boehm (editor), North-Holland Publishing Company, 1983.
 
22
G.M. Nielson, A Method for Interpolating Scattered Data Based Upon a Minimum Norm Network. Mathematics of Computation, 40, 161, 1983, 253-271.
 
23
G.M. Nielson, Interactive Surface Design Using Triangular Network Splines. Proceedings 3rd International Conference on Engineering Graphics and Descriptive Geometry, 2, 1988, 70-77.
 
24
Ir. S. C. Ohlin, Splines for Engineers, Eurographics "87, G. Marechal (editor), Amsterdam, The Netherlands, North-HoUand Publishing Company, 555-565.
 
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H. Pottmann, Scattered Data Interpolation Based upon Generalized Minimum Norm Networks, May 1989, Preprint Nr. 1232.
 
26
W.H. Press, Brian P. Flannery, Saul A. Teukolsky, William T. Vetterling, in Numerical Recipes in C, Cambridge University Press, 1988.
 
27
R.J. Renka, A. K. Cline, A Triangle-Based CI Interpolation Method, Rocky Mountain Journal of Mathematics, 14, 1, Winter 1984, 223-237.
 
28
A.P. Rockwood, Blending Surfaces in Solid Geometrical Modelling, PhD Thesis, Department of Applied Mathematics and Theoretical Physics, University of Cambridge.
 
29
J.R. Rossignac, A. A. G. Requicha, Constant-Radius Blending in Solid Modeling, Computers in Mechanical Engineering, New York, New York, American Society of Mechanical Engineers, July 1984, 65-73.
 
30
L.A. S hirman and C. H. Sequin, Procedural Interpolation with G1 and G2 Cubic Splines, Proceedings of the SIAM Conference on Geometric Design, Tempe, Arizona, November 1989.
 
31
 
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Dr. T. Varady, Rolling Ball Blends in Solid Modeling, in Computer Applications in Production and Engineering, E Kimura, A. Rolstadas (editor), North-Holland Publishing Company, 1989, 295- 308.
 
33
C.H. Woodford, Smooth Curve Interpolation, BIT, 9, 1969, 69-77


Collaborative Colleagues:
Henry Moreton: colleagues
Carlo Séquin: colleagues