Defining point-set surfaces

ACM Transactions on Graphics

Volumn 23, Issue 3, 2004, Pages 264-270

  Amenta, Nina ^a   Kil, Yong Joo ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ENERGY FUNCTION; JACOBI SURFACES; POINT-SET SURFACES; SURFELS; COMPUTATIONAL TOPOLOGY; MESHLESS CONSTRUCTION;

COMPUTER GRAPHICS; COMPUTER VISION; INTERPOLATION; ITERATIVE METHODS; RAY TRACING; TOPOLOGY; ALGORITHMS; COMPUTATIONAL METHODS; FUNCTION EVALUATION; MATHEMATICAL MODELS; SURFACES;

COMPUTATIONAL GEOMETRY; COMPUTER VISION;

EID: 7544234399     PISSN: 07300301     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1015706.1015713     Document Type: Conference Paper

References (17)

1. ADAMSON, A., AND ALEXA, M. 2003. Approximating and intersecting surfaces from points. In Proceedings of EG Symposium on Geometry Processing 2003, 245-254.
2. ADAMSON, A., AND ALEXA, M. 2003. Ray tracing point set surfaces. In Proceedings of Shape Modeling International 2003, 272-279.
3. ALEXA, M., BEHR, J., COHEN-OR, D., FLEISHMAN, S., LEVIN, D., AND SILVA, C. T. 2003. Computing and rendering point set surfaces. IEEE Transactions on Visualization and Computer Graphics 9, 1, 3-15. An earlier version appeared in IEEE Visualization 2001.
4. CARR, J., BEATSON, R., CHERRIE, J., MITCHELL, T., FRIGHT, W., MCCALLUM, B., AND EVANS, T. 2001. Reconstruction and representation of 3d objects with radial basis functions. ACM SIGGRAPH '01, 67-76.
5. CURLESS, B., AND LEVOY, M. 1996. A volumetric method for building complex models from range images. ACM SIGGRAPH '96, 303-312.
6. EDELSBRUNNER, H., AND HARER, J. to appear. Jacobi sets of multiple morse functions. In Foundations of Computational Mathematics, F. Cucker, Ed. Cambridge University Press.
7. FLEISHMAN, S., COHEN-OR, D., ALEXA, M., AND SILVA, C. T. 2003. Progressive point set surfaces. ACM Transactions on Graphics 22, 4, 997-1011.
8. GUO, X., AND QUIN, H. 2003. Dynamic sculpting and deformation of point set surfaces. In 11th Pacific Conference on Computer Graphics and Applications (PG'03), 123-130.
9. GUY, G., AND MEDIONI, G. 1997. Inference of surfaces, 3d curves and junctions from sparse, noisy, 3d data. IEEE Trans. on Pattern Analysis and Machine Intelligence 19, 11, 1265-1277.
10. LEVIN, D. 2003. Mesh-independent surface interpolation. In Geometric Modeling for Scientific Visualization, G. Brunnett, B. Hamann, K. Mueller, and L. Linsen, Eds. Springer-Verlag.
11. MEDEROS, B., VELHO, L., AND DE FIGUEIREDO, L. H. 2003. Moving least squares multiresolution surface approximation. In Proceedings of SIBGRAPI 2003 - XVI Brazilian Symposium on Computer Graphics and Image Processing.
12. MEDIONI, G., LEE, M.-S., AND TANG, C.-K. 2000, A Computational Framework for Segmentation and Grouping. Elsevier.
13. PAULY, M., KEISER, R., KOBBELT, L., AND GROSS, M. 2003. Shape modeling with point-sampled geometry. ACM SIGGRAPH 2003, 641-650.
14. PAULY, M. 2003. Point Primitives for Interactive Modeling and Processing of 3D Geometry. PhD thesis, ETH Zurich.
15. PRESS, W., FLANNERY, B., TEUKOLSKY, S., AND VETTERLING, W. 1992. Numerical Recipes in C, 2nd ed. Cambridge University Press.
16. 1 continuous surface reconstruction of noisy point clouds via local implicit quadric regression. IEEE Visualization 2003, 91-98.
17. ZWICKER, M., PAULY, M., KNOLL, O., AND GROSS, M. 2002. Pointshop 3d: An interactive system for point-based surface editing. ACM SIGGRAPH 2002, 322-329.