Subdivision analysis of the trilinear interpolant

IEEE Transactions on Visualization and Computer Graphics

Volumn 16, Issue 4, 2010, Pages 533-547

  Carr, Hamish ^a   Max, Nelson ^b  

^a UNIVERSITY COLLEGE DUBLIN   (Ireland)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Isosurfaces; Marching cubes; Trilinear

Indexed keywords

DEGENERATE CASE; DIVIDE-AND-CONQUER APPROACH; DIVIDING CUBES ALGORITHM; FORMAL PROOFS; HIGHER ORDER; INTERPOLANTS; ISO SURFACE; MARCHING CUBE; SCALAR FIELDS; VOLUMETRIC VISUALIZATION;

GEOMETRY; VISUALIZATION;

INTERPOLATION;

ALGORITHM; ARTICLE; COMPUTER ASSISTED DIAGNOSIS; COMPUTER GRAPHICS; COMPUTER INTERFACE; COMPUTER SIMULATION; METHODOLOGY; THEORETICAL MODEL; THREE DIMENSIONAL IMAGING;

ALGORITHMS; COMPUTER GRAPHICS; COMPUTER SIMULATION; IMAGE INTERPRETATION, COMPUTER-ASSISTED; IMAGING, THREE-DIMENSIONAL; MODELS, THEORETICAL; USER-COMPUTER INTERFACE;

EID: 77952741571     PISSN: 10772626     EISSN: None     Source Type: Journal    
DOI: 10.1109/TVCG.2009.10     Document Type: Article

References (9)

1. H. E. Cline, W. E. Lorenson, S. Ludke, C. R. Crawford, and B. C. Teeter, "Two Algorithms for the Three-Dimensional Reconstruction of Tomograms," Medical Physics, vol. 15, no. 3, pp. 320-327, 1988.
2. H. Carr and J. Snoeyink, "Representing Interpolant Topology for Contour Tree Computation," Topology-Based Methods in Visualization II, H.-C. Hege, K. Polthier, and G. Scheuermann, eds., Springer Verlag, 2008.
3. H. Edelsbrunner and E. P. Mücke, "Simulation of Simplicity: A Technique to Cope with Degenerate Cases in Geometric Algorithms," ACM Trans. Graphics, vol. 9, no. 1, pp. 66-104, 1990.
4. W. E. Lorenson and H. E. Cline, "Marching Cubes: A High Resolution 3D Surface Construction Algorithm," Computer Graphics, vol. 21, no. 4, pp. 163-169, 1987.
5. J. W. Milnor, Morse Theory. Princeton Univ. Press, 1963.
6. C. Montani, R. Scateni, and R. Scopigno, "A Modified Look-Up Table for Implicit Disambiguation of Marching Cubes," Visual Computer, vol. 10, pp. 353-355, 1994.
7. G. M. Nielson and B. Hamann, "The Asymptotic Decider: Resolving the Ambiguity in Marching Cubes," Proc. IEEE Conf. Visualization, pp. 83-91, 1991.
8. G. M. Nielson, "On Marching Cubes," IEEE Trans. Visualization and Computer Graphics, vol. 9, no. 3, pp. 283-297, 2003.
9. T. S. Newman and H. Yi, "A Survey of the Marching Cubes Algorithm," Computers And Graphics, pp. 854-879, 2006.