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An exact interactive time visibility ordering algorithm for polyhedral cell complexes

Authors:

Cláudio T. Silva,

Joseph S. B. Mitchell,

Peter L. WilliamsAuthors Info & Claims

VVS '98: Proceedings of the 1998 IEEE symposium on Volume visualization

Pages 87 - 94

https://doi.org/10.1145/288126.288170

Published: 01 October 1998 Publication History

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References

[1]

E K. Agam~ and J. Matou~k. Ray shooting and parametric seare_h. S/AM J. Comput., 22(4):794--806, 1993.]]

Digital Library

Google Scholar

[2]

E K. Agam,al and k Matou~ek. On range searching with semialgebraic sets. Discrete Comput. Geom., 11:.393-418, 1994.]]

Google Scholar

[3]

L L Balaban. An optimal algorithm for finding ~ent intersections. In Pro~ l lth Annv. ACM S3wzpos. CompuL Geo~, pages 211-219, 1995.]]

Digital Library

Google Scholar

[4]

B. Chazclle and H. FAelsbmnnen An optimal algorithm for intersecting line segments in the plane. J. ACM, 39:1-54, 1992.]]

Digital Library

Google Scholar

[5]

B. ChazeLte, H. Edelsbnmner, L. J. Gm'bas, 1L Pollack, R. Seidel, M. Shark, and J. Snoeb~d~ Counting and cutting c3'eles of lines and ro~ in space. Comput. Geom. Theory AppL, 1".305-323, 1992.]]

Digital Library

Google Scholar

[6]

M. de Berg. Ray Shooting. Depth Orders and H'_uldan Surface Removal, ~'olume 703 of Lecture Notes Comput. Sci. Springer- Verlag, Berlin, Germany, 1993.]]

Digital Library

Google Scholar

[7]

M. de Berg, L. J. Gm'bas, and D. Halpefin. Vertical decompositions for triangles in 3-space. Discrete Comput. Geora., 15".35- 61, 1996.]]

Google Scholar

[8]

M. de Berg, D. Halperin, M. Overmars, j. Snoe35ak, and M. van Kreveld. Efficient my shooting and hidden surface removal. AlgorithrMca, 12:30-53, 1994.]]

Crossref

Google Scholar

[9]

1~ de Berg, 1~ Overmars, and O. Sehwarzkopf. Computing and verifying depth orders. SIAM Journal on Computing, 23:437- 446, 1994.]]

Digital Library

Google Scholar

[10]

M. de Berg,/~ x~m Kreveld, ~ Ovennars, and O. Sehwarzkopf. Computan'onal Geometo," Algorithms and Applications. Springer-Verlag, Berlin, 199%]]

Google Scholar

[11]

L. Carpenter, "The A-buffer, an antialiased hidden star-ace method," Computer Graphics, vol. 18, no. 3, pp. 103-108, 1984.]]

Digital Library

Google Scholar

[12]

D. P. Dobldn and M. J. Laszlo. Primitia.es for the manipulation ofthree-dimensional subdivisions. Algorithmica, 4"_'3--32, 1989.]]

Google Scholar

[13]

H. Edelsbmnner. An aeyelieity theorem for cell complexes in d dimensions. Combinatorica, 10".251-260, 1990.]]

Google Scholar

[14]

H. Edelsbamner and ~ P. Mfieke. Simulation of simplicity: a technique to cope with degenerate eases in geo~e algorithms. ACAf Trans. Graph., 9:66-104, 1990.]]

Digital Library

Google Scholar

[15]

H. Fuchs, Z. M. Kedem, and B. Naylor_ On visible surface generation by a priori tree strueanes. Comput Graph., 14(3):124- 133, 19{;0. Proe. SIGGRAPH '80.]]

Digital Library

Google Scholar

[16]

h~ P. Gar6b- "RayWa~g ~ Volume Data," Computer Grapt'dcs (San Diego Workshop on Volume Hsualiz~'on), vol. 24, pp. 35--40, Nov. 1990.]]

Google Scholar

[17]

C. Giertsen, "Volume Visualization of Sparse In-egular Meshes," IEEE Computer Graphics and Applications, vol. 12, no. 2, pp. 49--48, March 1992.]]

Digital Library

Google Scholar

[18]

M. GooSn'eh and 1L Tamassia. D37mmic trees and dynamic point location. In Pro~ 23rd Annu. ACM S)Tnpos. Theory Comput, pages 523-533, 1991.]]

Digital Library

Google Scholar

[19]

M. S. Karasick, D. Lieber, L. R. Naehnan, and V. T. Rajah. Visualization of three-dimensioaal Delannay meshes. Algorithrrdca, 19(1-2):114-128, Sept. 199%]]

Google Scholar

[20]

N. Max, P. Hanmhan, and R. Cra~a'is. Area and volnme cohere.nee for efficient ~Sstm/izafion of 3d scalar functions. Comput Graph., 24(5):27-33, 1990.]]

Digital Library

Google Scholar

[21]

J.S.B. l~qtchell, D. M. Mount, and S. Suri. Query-sensitive ray shooting. In Proc. lOth Annu. ACM S)Tnpos. Comput. Geom., pag~ 359-368, 1994.]]

Digital Library

Google Scholar

[22]

M. NeweU, R. Newell and T. Sancha, "Solution to the hidden surface problem" Proc ACM National Conference, 1972, pp. 443-450.]]

Digital Library

Google Scholar

[23]

M. Newell, "The utilization of procedure models in digital image synthesis:' Ph.D. Thesis, University of Utah, 1974 CtJTEC-CSe- 76-218 and NTIS AD/A 039 008/LL).]]

Digital Library

Google Scholar

[24]

O. Nurmi. On translating a set of objects in two- and threedimensional spaces. Comput. Vision Graph. Image Process., 36:42-52, 1986.]]

Digital Library

Google Scholar

[25]

M.S. Paterson and E E Yao. Efficient binary space partitions for hidden-surface removal and solid modeling. Discrete Comput. Geom., 5:485-503, 1990.]]

Digital Library

Google Scholar

[26]

M. Pellegrini. Ray shooting on triangles in 3-space. Algorithm~ca, 9:471--494, 1993.]]

Crossref

Google Scholar

[27]

E P. Preparata and M. I. Shamos. Computational Geometry: An Introduction. Springer-Verlag, New York, NY, 1985.]]

Digital Library

Google Scholar

[28]

O. Sehwarzkopf and M. Shark. Vertical decomposition of a single cell in a three-dimensional arrangement of surfaces and its applications. Discrete Comput. Geom., 18:269-288, 1997.]]

Crossref

Google Scholar

[29]

M. Shark and P. K. Agarwal. Davenport.Schinzel Sequences and Their Geometn'c Applications. Cambridge University Press, New York, 1995.]]

Digital Library

Google Scholar

[30]

P. Shirley and A. Tuehman, "A Polygonal Approximation to Direct Scalar Volume Rendering," Computer Graphics (San Diego Workshop on Volume Vtsualization), vol. 24, pp. 63--70, Nov. 1990.]]

Digital Library

Google Scholar

[31]

C. T. Silva and J. S. B. Mitchell. The lazy sweep my casting algorithm for rendering irregular grids. IEEE Trans. Visualizat. Comput. Graph., 3(2):142-157, Apr. 1997.]]

Digital Library

Google Scholar

[32]

C. Stein, B. Beeker, and N. Max, "Sorting and Hardware Assisted Rendering for Volume Visualization," Symposium on Volume Vtsualization, pp. 83-90, October 1994.]]

Digital Library

Google Scholar

[33]

P. W'dliams, "Visibility Ordering Meshed Polyhedra,'" ACM Transactions on Graphics, vol. 11, no. 2, 1992.]]

Digital Library

Google Scholar

[34]

P.L. Williams, N. Max, and C. Stein, "A high accuracy volume renderer for unstructured data," IEEE Trans. on Visualization and Computer Graphz'cs, vol. 4, no. 1, pp. 1-18, March 1998.]]

Digital Library

Google Scholar

[35]

R. Yagel, D. Reed, A. Law, P-W. Shill, and N. Shareef, "Hardware Assisted Volume Rendering of Unstructured Grids by Incremental Slicing:' IEEE-ACM Volume Visualization Symposium, pp. 55--62, Nov. 1996.]]

Digital Library

Google Scholar

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Li XLiu X(2015)Multi-segment and multi-stage projected tetrahedraJournal of Ambient Intelligence and Humanized Computing10.1007/s12652-015-0271-17:5(639-648)Online publication date: 15-Mar-2015
https://doi.org/10.1007/s12652-015-0271-1
Maximo AMarroquim RFarias R(2010)Hardware-assisted projected tetrahedraProceedings of the 12th Eurographics / IEEE - VGTC conference on Visualization10.1111/j.1467-8659.2009.01673.x(903-912)Online publication date: 9-Jun-2010
https://dl.acm.org/doi/10.1111/j.1467-8659.2009.01673.x
Muigg PHadwiger MDoleisch HHauser H(2007)Scalable Hybrid Unstructured and Structured Grid RaycastingIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2007.7058813:6(1592-1599)Online publication date: 1-Nov-2007
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Published In

VVS '98: Proceedings of the 1998 IEEE symposium on Volume visualization

October 1998

178 pages

ISBN:1581131054

DOI:10.1145/288126

Chairmen:
Arie Kaufman
State Univ. of New York at Stony Brook
,
Roni Yagel
Biomedicom and The Ohio State Univ.
,
William E. Lorensen
GE Corporate Research and Development

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Published: 01 October 1998

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VolVis98: 1998 IEEE Volume Visualization Symposium

October 19 - 20, 1998

North Carolina, Research Triangle Park, USA

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Li XLiu X(2015)Multi-segment and multi-stage projected tetrahedraJournal of Ambient Intelligence and Humanized Computing10.1007/s12652-015-0271-17:5(639-648)Online publication date: 15-Mar-2015
https://doi.org/10.1007/s12652-015-0271-1
Maximo AMarroquim RFarias R(2010)Hardware-assisted projected tetrahedraProceedings of the 12th Eurographics / IEEE - VGTC conference on Visualization10.1111/j.1467-8659.2009.01673.x(903-912)Online publication date: 9-Jun-2010
https://dl.acm.org/doi/10.1111/j.1467-8659.2009.01673.x
Muigg PHadwiger MDoleisch HHauser H(2007)Scalable Hybrid Unstructured and Structured Grid RaycastingIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2007.7058813:6(1592-1599)Online publication date: 1-Nov-2007
https://dl.acm.org/doi/10.1109/TVCG.2007.70588
Georgii JWestermann R(2006)A Generic and Scalable Pipeline for GPU Tetrahedral Grid RenderingIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2006.11012:5(1345-1352)Online publication date: 1-Sep-2006
https://dl.acm.org/doi/10.1109/TVCG.2006.110
Comba JMitchell JSilva C(2006)On the Convexification of Unstructured Grids from a Scientific Visualization PerspectiveScientific Visualization: The Visual Extraction of Knowledge from Data10.1007/3-540-30790-7_2(17-34)Online publication date: 2006
https://doi.org/10.1007/3-540-30790-7_2
Govindaraju NHenson MLin MManocha DLastra AOlano MLuebke DPfister H(2005)Interactive visibility ordering and transparency computations among geometric primitives in complex environmentsProceedings of the 2005 symposium on Interactive 3D graphics and games10.1145/1053427.1053435(49-56)Online publication date: 3-Apr-2005
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Callahan SIkits MComba JSilva C(2005)Hardware-Assisted Visibility Sorting for Unstructured Volume RenderingIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2005.4611:3(285-295)Online publication date: 1-May-2005
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Moreland KAngel E(2004)A Fast High Accuracy Volume Renderer for Unstructured DataProceedings of the 2004 IEEE Symposium on Volume Visualization and Graphics10.5555/1038266.1039016(9-16)Online publication date: 11-Oct-2004
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Cook RMax NSilva CWilliams P(2004)Image-Space Visibility Ordering for Cell Projection Volume Rendering of Unstructured DataIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2004.4510:6(695-707)Online publication date: 1-Nov-2004
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Mello VVelho LCavalcanti PSilva C(2003)A Generic Programming Approach to Multiresolution Spatial DecompositionsVisualization and Mathematics III10.1007/978-3-662-05105-4_18(337-360)Online publication date: 2003
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Visibility-ordering meshed polyhedra

Image-Space Visibility Ordering for Cell Projection Volume Rendering of Unstructured Data

Polygon visibility ordering via Voronoi diagrams

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Visibility-ordering meshed polyhedra

Image-Space Visibility Ordering for Cell Projection Volume Rendering of Unstructured Data

Polygon visibility ordering via Voronoi diagrams

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