Surface reconstruction with enriched reproducing kernel particle approximation

Point-Based Graphics, 2005 - Eurographics/IEEE VGTC Symposium Proceedings

Volumn , Issue , 2005, Pages 79-87

  Reuter, Patrick ^a   Joyot, Pierre ^a   Trunzler, Jean ^a   Boubekeur, Tamy ^b   Schlick, Christophe ^b  

^a Technopole Izarbel   (France)

^b UNIVERSITÉ BORDEAUX 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC NOISE; APPROXIMATION THEORY; DATA REDUCTION; ERROR ANALYSIS; LASER APPLICATIONS; LEAST SQUARES APPROXIMATIONS; SURFACES;

ENRICHED REPRODUCING KERNEL PARTICLE APPROXIMATION (ERKPA); MOVING LEAST SQUARES (MLS) PROJECTION OPERATOR; POINT SET SURFACES (PSS); SURFACE RECONSTRUCTION;

IMAGE RECONSTRUCTION;

EID: 33745238045     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/pbg.2005.194068     Document Type: Conference Paper

References (36)

1. [AA04] ALEXA M., ADAMSON A.: On normals and projection operators for surfaces defined by point sets. Symposium on Point-based Graphics (2004).
2. [ABCO*01] ALEXA M., BEHR J., COHEN-OR D., LEVIN D., FLEISHMAN S., SILVA C. T.: Point set surfaces. In Proceedings of IEEE Visualization (2001).
3. [ABCO*03] ALEXA M., BEHR J., COHEN-OR D., FLEISHMAN S., LEVIN D., SILVA C. T.: Computing and rendering point set surfaces. IEEE Transactions on Visualization and Computer Graphics 9, 1 (2003).
4. [AD03] ADAMS B., DUTRE P.: Interactive boolean operations on surfel-bounded solids. In Proceedings of ACM SIGGRAPH (2003).
5. [AGP*04] ALEXA M., GROSS M., PAULY M., PFISTER H., STAMMINGER M., ZWICKER M.: Point-based computer graphics. ACM SIGGRAPH Course Notes (2004).
6. [AK04a] AMENTA N., KIL Y. J.: Defining point-set surfaces. In Proceedings of ACM SIGGRAPH (2004).
7. [AK04b] AMENTA N., KIL Y. J.: The domain of a point set surfaces. Symposium on Point-based Graphics (2004).
8. [Alu00] ALURU N.: A point collocation method based on reproducing kernel approximations. International Journal for Numerical Methods in Engineering 47 (2000).
9. [BKO*96] BELYTSCHKO T., KRONGAUZ Y., ORGAN D., FLEMING M., KRYSL P.: Meshless methods: An overview and recent developments. Computer Methods in Applied Mechanics and Engineering 139 (1996).
10. [Blo94] BLOOMENTHAL J.: An implicit surface polygonizer. Graphics Gems IV (1994).
11. [FACOS03] FLEISHMAN S., ALEXA M., COHEN-OR D., SILVA C. T.: Progressive point set surfaces. ACM Transactions on Computer Graphics 22, 4 (2003).
12. [FSCO05] FLEISHMAN S., SILVA C., COHEN-OR D.: Robust moving least-squares fitting with sharp features. In Proceedings of ACM SIGGRAPH (2005). To appear.
13. th International Meshing Roundtable (2001).
14. [JLA01] JIN X., LI G., ALURU N.: On the equivalence between least-squares and kernel approximations in meshless methods. CMES: Computer Modeling in Engineering and Sciences 2, 4 (2001).
15. [JTC04] JOYOT P., TRUNZLER J., CHINESTA F.: Enriched reproducing kernel approximation: Reproducing functions with discontinuous derivatives. In Meshfree Methods for Partial Differential Equations II, vol. 43. Springer, 2004, pp. 93-108.
16. [KB04] KOBBELT L., BOTSCH M.: A survey of point-based techniques in computer graphics. Computers & Graphics 28, 6 (2004).
17. [KBSS01] KOBBELT L. P., BOTSCH M., SCHWANECKE U., SEIDEL H.-P.: Feature-sensitive surface extraction from volume data. In Proceedings of ACM SIGGAAPH (2001).
18. [Lev98] LEVIN D.: The approximation power of moving least-squares. Mathematics of Computation 67, 224 (1998).
19. [Lev99] LEVIN D.: Mesh-independent surface interpolation. In 4th International Conference on Curves and Surfaces (1999).
20. [Lev03] LEVIN D.: Mesh-independent surface interpolation. In Geometric Modeling for Scientific Visualization. Springer, 2003.
21. [LJL*95] LIU W., JUN S., LI S., ADEE J., BELYTSCHKO T.: Reproducing kernel particle methods for structural dynamics. Int. J. Numer. Meths. Eng. 38 (1995), 1655-1679.
22. [LL02] LI S., LIU W.-K.: Meshfree particle methods and their applications. Applied Mechanics Review 54 (2002).
23. [LS81] LANCASTER P., SALKAUSKAS K.: Surfaces generated by moving least squares methods. Mathematics of Computation 37, 155 (1981).
24. [LUC95] LIU W. K., URAS R. A., CHEN Y.: Enrichment of the finite element method with reproducing kernel particle method. In Current Topics in Computational Mechanics (1995).
25. A journal version appeared in the Journal of Applied Mechanics ASME (1997)
26. [MKN*04] MÜLLER M., KEISER R., NEALEN A., PAULY M., GROSS M., ALEXA M.: Point based animation of elastic, plastic and melting objects. In Symposium on Computer Animation (2004).
27. [MVdF03] MEDEROS B., VELHO L., DE FIGUEIREDO L. H.: Moving least squares multiresolution surface approximation. In Proceedings of SIBGRAPI (2003).
28. [OB02] OHTAKE Y., BELYAEV A. G.: Dual/primal mesh optimization for polygonized implicit surfaces. Journal of Computing and Information Science in Engineering 2, 4 (2002).
29. [OBA*03] OHTAKE Y., BELYAEV A., ALEXA M., TURK G., SEIDEL H.-P.: Multi-level partition of unity implicits. ACM Transactions on Graphics (TOG) 22, 3 (2003), 463-470.
30. [PKG03] PAULY M., KEISER R., GROSS M.: Multi-scale feature extraction on point-sampled models. In Proceedings of Eurographics (2003).
31. [PKKG03] PAULY M., KEISER R., KOBBELT L., GROSS M.: Shape modeling with point-sampled geometry. In Proceedings of ACM SIGGRAPH (2003).
32. [SOS04] SHEN C., O'BRIEN J. F., SHEWCHUK J. R.: Interpolating and approximating implicit surfaces from polygon soup. In Proceedings of ACM SIGGRAPH (2004).
33. [WPH*04] WEYRICH T., PAULY M., HEINZLE S., KEISER R., SCANDELLA S., GROSS M.: Post-processing of scanned 3D surface data. In Symposium on Point-Based Graphics (2004).
34. [WTG04] WICKE M., TESCHNER M., GROSS M.: CSG tree rendering of point-sampled objects. In Proceedings of Pacific Graphics (2004).
35. [XG04] XIAOHU GUO JING HUA H. Q.: Touch-based haptics for interactive editing on point set surfaces. IEEE Computer Graphics and Applications 24, 6 (2004).
36. [ZPKG02] ZWICKER M., PAULY M., KNOLL O., GROSS M.: Pointshop 3D: An interactive system for point-based surface editing. In Proceedings of ACM SIGGRAPH (2002).