Mesh simplification with smooth surface reconstruction

CAD Computer Aided Design

Volumn 30, Issue 11, 1998, Pages 875-882

  Volpin, O ^a,c   Sheffer, A ^a   Bercovier, M ^a,b,d   Joskowicz, L ^a,e,f  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

^b PÔLE UNIVERSITAIRE LÉONARD DE VINCI   (France)

^c PETER THE GREAT ST PETERSBURG POLYTECHNIC UNIVERSITY   (Russian Federation)

^d Technical University ^*

^e NEW YORK UNIVERSITY   (United States)

^f IBM T J WATSON RESEARCH CENTER   (United States)

Author keywords

Clustering; Finite element (FE); Limited curvature regions; Piecewise B zier surface; Quadrilateral mesh; Subdivision; Thin plate energy

Indexed keywords

ALGORITHMS; COMPUTER GRAPHICS; CURVE FITTING; FINITE ELEMENT METHOD; IMAGE RECONSTRUCTION; MATHEMATICAL MODELS;

LIMITED CURVATURE REGIONS; PIECEWISE BEZIER SURFACE; QUADRILATERAL MESH; SURFACE RECONSTRUCTION; THIN PLATE ENERGY;

COMPUTER AIDED DESIGN;

EID: 0032154784     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0010-4485(98)00044-X     Document Type: Article

References (19)

1. M. Bercovier, O. Volpin, Hierarchical Bézier surface over irregular mesh, Technical Report, Leibnitz, Jerusalem, 1996 (submitted).
2. Blacker, T. and Stephenson, M., Paving: A new approach to automated quadrilateral mesh generation. Int. J. Numerical Methods Eng., 1991, 32, 811-847.
3. P.G. Ciarlet, Numerical Analysis of the Finite Element Method. Les Presses de L'Université de Montreal, Montreal, 1976.
4. M. Eck, H. Hoppe, Automatic Reconstruction of B-Spline Surface of Arbitrary Topological Type. SIGGRAPH '96 Proceedings, 1996.
5. M. Eck, T. DeRose, T. Duchamp, H. Hoppe, M. Lounsbery, W. Stuetzle, Multiresolution Analysis of Arbitrary Meshes, Computer Graphics, Annual Conference Series, 1995, SIGGRAPH '95, August 1995. pp. 173-182.
6. T.S. Gieng, B. Hamann, K.I. Joy, G.L. Schussman, I.J. Trotts, Smooth Hierarchical Surface Triangulations, Proceeding Visualization 96, IEEE Computer Society, 1997.
7. H. Hoppe, T. DeRose, T. Duchamp, J. McDonald, W. Stuetzle, Mesh Optimization, Computer Graphics Proceeding, Annual Conference Series93, 1993, pp. 19-26.
8. Kalvin, A.D. and Taylor, R.H., Superfaces: polygonal mesh simplification with bounder error. IEEE Computer Graphics Applications, 1996, 16(3), 64-77.
9. R. Klein, G. Liebich, W. Strasser, Mesh Reduction With Error Control Proceeding Visualization 96, IEEE Computer Society, 1996, pp. 311-318.
10. 1 Assembly of Patches Over Irregular Meshes, Curves and Surfaces in Geometric Design, Academic Press, New York, 1997.
11. L. Kobbelt, Interpolatory Subdivision on Open Quadrilateral Nets with Arbitrary Topology, Computer Graphics Forum (in press).
12. 1 continuity surface over irregular mesh. CAD, 1995, 5, 115-141.
13. Schmitt, F.-J.M., Barsky, B.A. and Du, W.-H., An adaptive subdivision method for surface-fitting from sampled data. Computer Graphics, 1986, 20(4), 179-188.
14. A. Sheffer, T. Blacker, M. Bercovier, Virtual Topology Operators for Meshing, Proceeding: 6th International Meshing Roundtable, UT, USA, October 1997, pp. 49-66 (to appear in International Journal of Computational Geometry and Applications).
15. A. Sheffer, T. Blacker, M. Bercovier, Clustering: Automated Detail Suppression using Virtual Topology, AMD, vol. 220, Trends in Unstructured Mesh Generation, ACME, 1997, pp. 57-64.
16. Tork, G., Re-tiling polygonal surfaces. Computer Graphics, 1992, 26(2 (July)), 55-64.
17. O. Volpin, M. Bercovier, T. Matskewich, A Comparison of Invariant Energies for Free Form Surface Construction, Proceeding: Computer Aided Geometric Design: New Trends and Applications, Crete, Greece, June 1997 (submitted to International Journal of Shape Modeling).
18. O.C. Zienkiewicz, The Finite Element Method in Engineering Science, McGraw-Hill, London, 1971.
19. ACIS 3.0 Geometric Modeler, Programmers Reference, Spatial Technology, 1997.