Adequate inner bound for geometric modeling with compact field functions

Computers and Graphics (Pergamon)

Volumn 37, Issue 6, 2013, Pages 565-573

  Canezin, Florian ^a   Guennebaud, Gaël ^b   Barthe, Loïc ^a  

^a UNIVERSITÉ DE TOULOUSE   (France)

^b INRIA   (France)

Author keywords

Blending; Composition operators; CSG; Details; Field functions; Geometric modeling; Implicit surfaces

Indexed keywords

GEOMETRY;

COMPOSITION OPERATORS; DETAILS; FIELD FUNCTION; GEOMETRIC MODELING; IMPLICIT SURFACES;

BLENDING;

EID: 84879810755     PISSN: 00978493     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cag.2013.05.024     Document Type: Article

References (37)

1. Sabin MA. The use of potential surfaces for numerical geometry. Technical Report VTO/MS/153, British Aerospace Corp., Weybridge, UK; 1968.
2. A. Ricci A constructive geometry for computer graphics Comp J 16 2 1973 157 160
3. J.F. Blinn A generalization of algebraic surface drawing ACM Trans Graph 1 3 1982 235 256
4. G. Wyvill, C. McPheeters, and B. Wyvill Data structure for soft objects Vis Comp 2 4 1986 227 234
5. Bloomenthal J. Bulge elimination in convolution surfaces. Comp Graph Forum 1997;16:31-41.
6. V. Shapiro Semi-analytic geometry with R-functions Acta Numer 16 2007 239 303
7. L. Olsen, F.F. Samavati, M.C. Sousa, and J.A. Jorge Technical section sketch-based modeling - a survey Comput Graph 33 1 2009 85 103
8. Brazil EV, Macedo I, Sousa MC, de Figueiredo LH, Velho L. Sketching variational hermite-RBF implicits. In: Proceedings of the seventh sketch-based interfaces and modeling symposium (SBIM '10); 2010. p. 1-8.
9. E. Galin, and S. Akkouche Incremental polygonization of implicit surfaces Graph Models 62 1 2000 19 39
10. Y. Kanamori, Z. Szego, and T. Nishita GPU-based fast ray casting for a large number of metaballs Comput Graph Forum 27 2 2008 351 360
11. O. Gourmel, A. Pajot, M. Paulin, L. Barthe, and P. Poulin Fitted BVH for fast raytracing of metaballs Comp Graph Forum 29 2 2010 281 288
12. B. Wyvill, A. Guy, and E. Galin Extending the CSG tree - warping, blending and boolean operations in an implicit surface modeling system Comput Graph Forum 18 2 1999 149 158
13. P.C. Hsu, and C. Lee Field functions for blending range controls on soft objects. Proceedings of Eurographics Computer Graphics Forum 22 3 2003 233 242
14. L. Barthe, B. Wyvill, and E. de Groot Controllable binary CSG operators for "soft objects" Int J Shape Model 10 2 2004 135 154
15. E. de Groot, B. Wyvill, and H. van de Wetering Locally restricted blending of blobtrees Comput Graph 33 6 2009 690 697
16. A. Bernhardt, L. Barthe, M.P. Cani, and B. Wyvill Implicit blending revisited. Proceedings of Eurographics Comp Graph Forum 29 2 2010 367 376
17. O. Gourmel, L. Barthe, M.P. Cani, B. Wyvill, A. Bernhardt, and M. Paulin A gradient-based implicit blend ACM Trans Graph 32 2 2013
18. L. Barthe, B. Mora, N. Dodgson, and M. Sabin Interactive implicit modelling based on C1 reconstruction of regular grids Int J Shape Model 8 2 2002 99 117
19. E. Ferley, M.P. Cani, and J.D. Gascuel Resolution adaptive volume sculpting Graph Models 63 2002 459 478
20. Schmitt R, Wyvill B, Galin E. Interactive implicit modeling with hierarchical spatial caching. In: Shape modelling international; 2005.
21. Eyiyurekli M, Breen DE. Data structures for interactive high resolution level-set surface editing. In: Proceedings of graphics interface 2011 (GI'11); 2011. p. 95-102.
22. E. Brun, A. Guittet, and F. Gibou A local level-set method using a hash table data structure J Comput Phys 231 6 2012 2528 2536
23. J. Bloomenthal, and K. Shoemake Convolution surfaces SIGGRAPH Comput Graph 25 4 1991 251 256
24. A. Pasko, V. Adzhiev, A. Sourin, and V. Savchenko Function representation in geometric modeling concepts, implementation and applications Vis Comp 11 8 1995 429 446
25. L. Barthe, V. Gaildrat, and R. Caubet Extrusion of 1D implicit profiles theory and first application Int J Shape Model 7 2001 179 199
26. Q. Li Smooth piecewise polynomial blending operations for implicit shapes Comput Graph Forum 26 2 2007 157 171
27. L. Barthe, N.A. Dodgson, M.A. Sabin, B. Wyvill, and V. Gaildrat Two-dimensional potential fields for advanced implicit modeling operators Comp Graph Forum 22 1 2003 23 33
28. G.I. Pasko, A.A. Pasko, and T.L. Kunii Bounded blending for function-based shape modeling IEEE Comput Graph Appl 25 2 2005 36 45
29. Carr JC, Beatson RK, Cherrie JB, Mitchell TJ, Fright WR, McCallum BC, et al., Reconstruction and representation of 3d objects with radial basis functions. In: Proceedings of the 28th annual conference on computer graphics and interactive techniques (SIGGRAPH '01). ACM; 2001. p. 67-76.
30. I. Macêdo, J.P. Gois, and L. Velho Hermite radial basis functions implicits Comp Graph Forum 30 1 2011 27 42
31. Adamson A, Alexa M. Approximating and intersecting surfaces from points. In: Kobbelt L, Schröder P, Hoppe H, Proceedings of the Eurographics Symposium on Geometry Processing, vol. 23; 2003. p. 245-54.
32. C. Shen, J.F. O'Brien, and J.R. Shewchuk Interpolating and approximating implicit surfaces from polygon soup ACM Trans Graph 23 3 2004 896 904
33. Guennebaud G, Gross M. Algebraic point set surfaces. In: ACM SIGGRAPH 2007 papers (SIGGRAPH '07). New York, NY, USA: ACM; 2007.
34. Davis J, Marschner SR, Garr M, Levoy M. Filling holes in complex surfaces using volumetric diffusion, In: 3D data processing visualization and transmission. IEEE Computer Society; 2002. p. 428-38.
35. F. Calakli, and G. Taubin SSD smooth signed distance surface reconstruction Comput Graph Forum 30 7 2011 1993 2002
36. Li Q, Phillips R. Implicit curve and surface design using smooth unit step functions. In: Proceedings of ACM symposium on solid modeling and applications (SM '04). Eurographics Association; 2004. p. 237-42.
37. Barthe L, Gaildrat V, Caubet R. Combining implicit surfaces with soft blending in a CSG tree. In: Proceedings of the CSG conference series; 1998. p. 17-31.