Geometric design and space planning using the marching squares and marching cube algorithms

Proceedings - 2003 International Conference on Geometric Modeling and Graphics, GMAG 2003

Volumn , Issue , 2003, Pages 90-95

  Maple, C ^a  

^a UNIVERSITY OF BEDFORDSHIRE   (United Kingdom)

Author keywords

Approximation algorithms; Biomedical imaging; Data structures; Data visualization; Equations; Graphics; Piecewise linear techniques; Rendering (computer graphics); Shape; Solid modeling

Indexed keywords

ALGORITHMS; BIOINFORMATICS; COMPUTER GRAPHICS; DATA STRUCTURES; DATA VISUALIZATION; GEOMETRY; MEDICAL IMAGING; PIECEWISE LINEAR TECHNIQUES; PRODUCT DESIGN; RENDERING (COMPUTER GRAPHICS);

BIOMEDICAL IMAGING; EQUATIONS; GRAPHICS; SHAPE; SOLID MODEL;

APPROXIMATION ALGORITHMS;

EID: 77957992483     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/GMAG.2003.1219671     Document Type: Conference Paper

References (15)

1. Figueiredo, O., Hersch, R. D, (2003) Parallel unfolding and visualization of curved surfaces extracted from large three dimensional volumes, accepted for publication
2. Gerstein, M. Chothia, C (1996). Packing at the Protein-Water Interface. Proc. Natl. Acad. Sci. USA 93, 10167-10172.
3. Gerstein, M, Richards, F.M. (1999). Protein Geometry : Volumes, Areas, and Distances, The International Tables for Crystallography,Volume F: Macromolecular Crystallography, 22: Molecular Geometry and Features.
4. Gerstein, M, Tsai, J & Levitt, M (1995). The volume of atoms on the protein surface: Calculated from simulation, using Voronoi polyhedra. J. Mol. Biol. 249: 955-966.
5. Hannaford, G., Maple, C., Mullins, J., (2001) Finding and Characterising Candidate Binding Sites, Proceedings of the 5th IEEE International Conference on Information Visualisation, InfVis2001, 157-161.
6. Hubbard, S J & Argos, P (1994). Cavities and packing at protein interfaces. Protein Science 3, 2194-2206.
7. Laugier, C., et al, (1994) Solving complex motion planning problems by combining geometric and physical models, Workshop on Algorithmic Foundations of Robotics.
8. Lorensen, W.E., Cline, H.E., (1987) Marching Cubes: A High Resolution 3D Surface Construction Algorithm, Computer Graphics, 21, 4, 163-169.
9. Maple, C., (2001) A Boundary Representation Technique for Three-Dimensional Objects, Proceedings of the 5th IEEE International Conference on Information Visualisation, InfVis2001, 397-403.
10. Precup, D., (2000) Temporal Abstraction in Reinforcement Learning. PhD thesis, University of Massachusetts, Amherst, Department of Computer Science.
11. Procacci, P & Scateni, R (1992). A General Algorithm for Computing Voronoi Volumes: Application to the Hydrated Crystal of Myoglobin. Int. J. Quant. Chem. 42
12. Richards, F M & Lim, W A (1994). An analysis of packing in the protein folding problem. Quart. Rev. Biophys. 26, 423-498.
13. Singh, R K, Tropsha, A & Vaisman, I I (1996). Delaunay Tessellation of Proteins: Four Body Nearest-Neighbor Propensities of Amino Acid Residues. J. Comp. Biol. 3, 213-222.
14. Tsai, J & Gerstein, M (1999). Volume Calculations of Protein Atomic Groups: Factors Affecting the Calculation and Derivation of a Minimal yet Optimal Set of Volumes. Proteins.
15. Voronoi, G F (1908). Nouvelles applications des paramétres continus à la théorie des formes quadratiques. J. Reine Angew. Math. 134, 198-287.