Planar development of free-form surfaces: Quality evaluation and visual inspection

Computing (Vienna/New York)

Volumn 72, Issue 1-2, 2004, Pages 13-27

  Azariadis, P N ^a,b   Sapidis, N S ^a,b  

^a University of the Aegean ^*

^b UNIVERSITY OF THE AEGEAN   (Greece)

Author keywords

Digital surfaces; Flattening accuracy; Graphics based methods; Isometric mapping; Isometry; Parameterizations; Physics based criteria; Planar developments; Shape deformation; Triangle based surface representation

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; FINITE ELEMENT METHOD; GRAPH THEORY; MATHEMATICAL TRANSFORMATIONS;

DIGITAL SURFACES; FLATTENING ACCURACY; GRAPHICS BASED METHODS; ISOMETRIC MAPPING; ISOMETRY; PARAMETERIZATION; PHYSICS BASED CRITERIA; PLANAR DEVELOPMENTS; SHAPE DEFORMATIONS; TRIANGLE BASED SURFACE REPRESENTATIONS;

PARAMETER ESTIMATION;

EID: 2542505513     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00607-003-0043-1     Document Type: Conference Paper

References (21)

1. Azariadis, P., Aspragathos, N.: Design of plane patterns of doubly curved surfaces. ComputerAided Design 29, 675-685 (1997).
2. Azariadis, P., Aspragathos, N.: On using planar developments to perform texture mapping on arbitrarily curved surfaces. Computers & Graphics 24, 539-554 (2000).
3. Azariadis, P., Aspragathos, N.: Geodesic curvature preservation in surface flattening through constrained global optimization. Computer-Aided Design 33, 581-591 (2001).
4. Bennis, C., Vezien, J.-M., Iglesias, G.: Piecewise surface flattening for non-distorted texture mapping. Computer Graphics 25, 237-246 (1991).
5. Desbrun, M., Meyer, M., Alliez, P.: Intrinsic parameterizations of surface meshes. In: Drettakis, G., Seidel, H.-P. (eds.): Proceedings of Eurographics 2002. Computer Graphics forum, pp. 21, 3, 210-218. Saarbrucken: Blackwell, 2002.
6. Eck, M., DeRose, T., Duchamp, T., Hoppe, H., Lounsbery, M., Stuetzle, W.: Multiresolution analysis of arbitrary meshes. In: Proceedings of ACM SIGGRAPH 1995. Computer Graphics Proceedings, Annual Conference Proceedings, pp. 173-182, 1995.
7. Hinds, B. K., McCartney, L., Woods, G.: Pattern development for 3D Surfaces. Computer-Aided Design 23, 583-592 (1991).
8. Hormann, K., Greiner, G.: MIPS - An efficient global parameterization method. In: Curve and Surface Design Conference Proceedings, pp. 153-162, 1999.
9. Levy, B., Petitjean, S., Ray, N., Maillot, J.: Least squares conformal maps for automatic texture atlas generation. ACM Transactions on Graphics 21, 362-371 (2002).
10. Ma, S. D., Lin, H.: Optimal texture mapping. Proc. EUROGRAPHICS 88, 421-428 (1988).
11. Maillot, J., Yahia, H., Verroust, A.: Interactive texture mapping. Proc. SIGGRAPH 93, pp. 27-34. California: Anaheim 1993.
12. McCartney, J., Hinds, B. K., Seow, B. L.: The flattening of triangulated surfaces incorporating darts and gussets. Computer-Aided Design 31, 249-260 (1999).
13. Parida, L., Mudur, S. P.: Constraint-satisfying planar development of complex surfaces. Computer-Aided Design 25, 225-232 (1993).
14. Sander, P., Gortler, S., Snyder, J., Hoppe, H.: Signal-specialized parameterization. In: Proceedings of Thirteen Eurographics Workshop on Rendering, pp. 87-98, 2002.
15. Sander, P. V., Snyder, J., Gortler, S., Hoppe, H.: Texture mapping progressive meshes. In: Proceedings of ACM SIGGRAPH, Computer Graphics Proceedings, Annual Conference Proceedings, pp. 409-416, 2001.
16. Schwartz, E. L., Shaw, A., Wolfson, E.: A numerical solution to the generalized mapmaker's problem: flattening nonconvex polyhedral surfaces. IEEE Trans. on Pattern Analysis and Machine Intelligence 11, 1005-1008 (1989).
17. Shimada, T., Tada, Y.: Approximate transformation of an arbitrary curved surface into a plane using dynamic programming. Computer-Aided Design 23, 153-159 (1991).
18. Wang, C., Chen, S.-F., Yuen, M.: Surface flattening for the fashion industry: a generic approach using Spring-Mass system. Computers in Industry 1548, 1-10 (2001).
19. Wolfson, E., Schwartz, E. L.: Computing minimal distances on polyhedral surfaces. IEEE Trans. on Pattern Analysis and Machine Intelligence 11, 1001-1005 (1989).
20. Yu, G., Patrikalakis, N. M., Maekawa, T.: Optimal development of doubly curved surfaces. Computer Aided Geometric Design 17, 545-577 (2000).
21. Zigelman, G., Kimmel, R., Kiryati, N.: Texture mapping using surface flattening via multidimensional scaling. IEEE Trans. on Visualization and Computer Graphics 8, 198-207 (2002).