Ruled tracing

Visual Computer

Volumn 13, Issue 2, 1997, Pages 78-93

  Elber, Gershon ^a   Choi, Jung Ju ^b,c   Kim, Myung Soo ^b  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b Pohang University of Science and Technology (POSTECH)   (South Korea)

^c Electronics and Telecommunications Research Institute (ETRI)   (South Korea)

Author keywords

Direct freeform surface rendering; Light wavefronts; Ray tracing; Reflection refraction; Shadow computation

Indexed keywords

LIGHT REFLECTION; LIGHT REFRACTION; WAVEFRONTS;

DEVELOPABLE SURFACE TRACING APPROACH; DIRECT FREEFORM SURFACE RENDERING; RAY TRACING TECHNIQUE; SHADOW COMPUTATION;

COMPUTER GRAPHICS;

EID: 0030705793     PISSN: 01782789     EISSN: None     Source Type: Journal    
DOI: 10.1007/s003710050091     Document Type: Article

References (37)

1. Alpha_1 (1992)Alpha_1 User's Manual, Computer Science, University of Utah
2. Bajaj CL, Hoffmann CM, Lynch RE, Hopcroft JEH (1988) Tracing surface intersections. Comput Aided Geom Design 5:285-307
3. Bajaj CL, Xu G (1994) NURBS Approximation of surface-surface intersection curves. Advances Comput Math 2:1-21
4. Barnhill RE, Kersey SN (1990) A marching method for parametric surface-surface intersection. Comput Aided Geom Design 7:257-280
5. Boehm W (1980) Inserting new knots into B-spline curves. Comput Aided Design 12:199-201
6. Chang S, Shantz M, Rocchetti R (1989) Rendering cubic curves and surfaces with integer adaptive forward differencing. Comput Graph 23:157-166
7. Cohen E, Lyche T, Riesenfeld R (1980) Discrete B-splines and subdivision techniques in computer-aided geometric design and computer graphics. Comput Graph Image Processing 14:87-111
8. Carmo MD (1976) Differential geometry of curves and surfaces. Prentice-Hall
9. Elber G, Cohen E (1991) Error bounded variable distance offset operator for free form curves and surfaces. Int J Comput Geom Appl 1:67-78
10. Elber G, Cohen E (1996) Adaptive isocurves based rendering for freeform surfaces. ACM Trans Graph 15:249-263
11. Eiber G (1992) Free form surface analysis using a hybrid of symbolic and numeric computation. Ph.D. Thesis, Computer Science Department, University of Utah
12. Elber G, Cohen E (1994) Tool path generation for freeform surface models. Comput Aided Design 26(6):490-496. Also the 2nd ACM/IEEE Symposium on Solid Modeling and Applications, Montreal, Canada
13. Elber G, Cohen E (1994) Tool path generation for freeform surface models. Comput Aided Design 26(6):490-496. Also the 2nd ACM/IEEE Symposium on Solid Modeling and Applications, Montreal, Canada
14. Elber G (1994) Low cost illumination computation using an approximation of light wavefronts. Siggraph, Comput Graphics, pp 335-342
15. Elber G (1995) Model fabrication using surface layout projection. Comput Aided Design 27:283-291
16. Glassner AS (1990) An introduction to ray tracing. Academic Press
17. Hoffmann CM(1989) Geometric & solid modeling: an introduction. Morgan Kaufmann, San Mateo
18. Hoschek J, Pottmann H (1995) Interpolation and approximation with developable B-spline surfaces. In: Daehlen M. Lyche T, Schumaker LL (eds) Mathematical methods in CAGD III
19. IRIT Solid Modeller (1996) IRIT 6.0 User's Manual, Technion, Haifa, Israel
20. Klassen RV (1991) Integer forward differencing of cubic polynomials analysis and algorithms. ACM Trans Graph 10:152-181
21. Kriczis GA, Patrikalakis NM, Woher FE (1992) Topological and differential equation methods for surface intersections. Comput Aided Design 24:41-55
22. Lien S, Shantz M, Pratt V (1987) Adaptive forward differencing for rendering curves and surfaces. Siggraph Comput Graph 21:111-118
23. Luo R, Ma Y, McAllister D (1995) Tracing tangential surface-surface intersections. The 3rd Symposium on Solid Modeling and Applications, Salt Lake city, Utah, pp 255-262
24. Manocha D, Canny J (1991) A new approach for surface intersection. The 1st Symposium on Solid Modeling Foundation and CAD/CAM Applications, Austin, Texas, pp 209-219
25. Marsden M, Schoenberg IJ (1966) On variation diminishing spline approximation methods. Mathematica 8:61-82
26. Nishita T, Sederberg TW, Kakimoto M (1990) Ray tracing trimmed rational surface patches. Siggraph Comput Graph 24:337-345
27. Painter J, Sloan K (1989) Antialiased ray tracing by adaptive progressive refinement. Comput Graph 23:281-288
28. Peachey DR (1985) Solid texturing of complex surfaces. Siggraph Comput Graph 19:279-286
29. Perlin K (1985) An image synthesizer. Siggraph Comput Graph 19:287-296
30. Pottmann H, Farin G (1995) Developable rational Bézier and B-spline surfaces. Comput Aided Geom Design 12:513-531
31. Rappoport A (1991) Rendering curves and surfaces with hybrid subdivision and forward differencing. ACM Trans Graph 10:323-341
32. Rockwood A (1987) A generalized scanning technique for display of parametrically defined surfaces. IEEE Comput Graph Appl 7:15-26
33. Rockwood A, Heaton K, Davis T (1989) Real-time rendering of trimmed surfaces. Siggraph Comput Graph 23(3), 107-116
34. Shantz M, Lien SL (1987) Shading bicubic patches. Siggraph Comput Graph 21:189-196
35. Shantz M, Chang S (1988) Rendering trimmed NURBS with adaptive forward differencing. Siggraph, Comput Graph 22:189-198
36. Sheng X, Hirsh BE (1992) Triangulation of trimmed surfaces in parametric space. Comput Aided Design 24:437-444
37. Whitted T (1980) An improved illumination model for shaded display. Commun ACM 23:343-349