Segmentation methods for smooth point regions of conventional engineering objects

CAD Computer Aided Design

Volumn 36, Issue 6, 2004, Pages 511-523

  Benko, Pál ^a   Várady, Tamás ^a  

^a INSTITUTE FOR COMPUTER SCIENCE AND CONTROL   (Hungary)

Author keywords

Local indicators; Reverse engineering; Segmentation; Statistical similarity tests

Indexed keywords

COMPUTER AIDED DESIGN; CONSTRAINT THEORY; EIGENVALUES AND EIGENFUNCTIONS; ESTIMATION; GEOMETRY; LEAST SQUARES APPROXIMATIONS; MATRIX ALGEBRA; POLYNOMIALS; PROBLEM SOLVING; STATISTICAL TESTS;

LOCAL INDICATORS; STATISTICAL SIMILARITY TESTS;

REVERSE ENGINEERING;

EID: 1642414127     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0010-4485(03)00159-3     Document Type: Conference Paper

References (19)

1. Alboul L., van Damme R. Polyhedral metrics in surface reconstruction: tight triangulations. Goodman T., Martin R.R. The mathematics of surfaces VII. 1997;309-336 Information Geometers Ltd.
2. Benko P., Martin R.R., Várady T. Algorithms for reverse engineering boundary representation models. Comput-Aided Des. 33:(11):2001;839-851.
3. Benko P., Várady T. Best fit translational and rotational surfaces for reverse engineering shapes. Cipolla R., Martin R.R. The mathematics of surfaces IX. 2000;70-81 Springer, Berlin.
4. Benko, P., Várady T. Direct segmentation of smooth, multiple point regions. Suzuki H., Martin R.R. Proceedings of geometric modeling and processing 2002. 2002;169-178 IEEE Computer Society, Silver Spring, MA.
5. Benko P., Andor L., Kós G., Martin R.R., Várady T. Constrained fitting in reverse engineering. Comput-Aided Geom Des. 19:2002;173-205.
6. Besl P.J. Surfaces in range image understanding. 1988;Springer, Berlin.
7. Besl P.J., Jain R.C. Segmentation through variable-order surface fitting. IEEE PAMI. 10:(2):1988;167-192.
8. Csákány P., Wallace A.M. Computation of local differential parameters on irregular meshes. Cipolla R., Martin R.R. The mathematics of surfaces IX. 2000;19-33 Springer, Berlin.
9. Fitzgibbon A.W., Eggert D.W., Fisher R.B. High-level CAD model acquisition from range images. Comput-Aided Des. 29:(4):1997;321-330.
10. Hoover A., Goldgof D., Bowyer K.W. Extracting a valid boundary representation from a segmented range image. IEEE PAMI. 17:(9):1995;920-924.
11. Hoschek J., Dietz U., Wilke W. A geometric concept of reverse engineering of shape: approximation and feature lines. Dæhlen M., Lyche T., Schumaker L.L. Mathematical methods for curves and surfaces II. 1998;253-262 Vanderbilt University Press, Tennessee.
12. Kós G., Martin R.R., Várady T. Recovery of blend surfaces in reverse engineering. Comput-Aided Geom Des. 17:2000;127-160.
13. Leonardis A., Jaklič A., Solina F. Superquadrics for segmenting and modeling range data. IEEE PAMI. 19:(11):1997;1289-1295.
14. Pottmann H., Randrup T. Rotational and helical surface approximation for reverse engineering. Computing. 1998;307-322.
15. Sapidis N.S., Besl P.J. Direct construction of polynomial surfaces from dense range images through region growing. ACM TOG. 14:(2):1995;171-200.
16. Várady T., Martin R.R., Cox J. Reverse engineering of geometric models - an introduction. Comput-Aided Des. 29:(4):1997;255-268.
17. Várady T., Benko P., Kós G. Reverse engineering regular objects: simple segmentation and surface fitting procedures. Int J Shape Modeling. 4:1998;127-141.
18. Weiß V., Andor L., Renner G., Várady T. Advanced surface fitting techniques. Comput-Aided Geom Des. 19:2002;19-42.
19. Werghi N., Fisher R.B., Robertson C., Ashbrook A. Object reconstruction by incorporating geometric constraints in reverse engineering. Comput-Aided Des. 31:1999;363-399.