Out-of-core and compressed level set methods

ACM Transactions on Graphics

Volumn 26, Issue 4, 2007, Pages

  Nielsen, Michael B ^a   Nilsson, Ola ^b   Söderström, Andreas ^b   Museth, Ken ^a,b  

^a AARHUS UNIVERSITY   (Denmark)

^b LINKÖPING UNIVERSITY   (Sweden)

Author keywords

Adaptive distance fields; Compression; Computational fluid dynamics; Deformable surfaces; Geometric modeling; Implicit surfaces; Level set methods; Mesh scan conversion; Morphology; Out of core; Shape; Streaming

Indexed keywords

ADAPTIVE DISTANCE FIELDS; DEFORMABLE SURFACES; GEOMETRIC MODELING; LEVEL SET METHODS; MESH SCAN CONVERSION; TEXTURE COORDINATES;

COMPUTATIONAL FLUID DYNAMICS; COMPUTER GRAPHICS; IMAGE COMPRESSION; IMAGE RESOLUTION; INFORMATION MANAGEMENT; OPTIMIZATION; PROBLEM SOLVING;

IMAGE RECONSTRUCTION;

EID: 36049052622     PISSN: 07300301     EISSN: 15577368     Source Type: Journal    
DOI: 10.1145/1289603.1289607     Document Type: Article

References (102)

1. ADALSTEINSSON, D. AND SETHIAN, J. A. 1995. A fest level set method for propagating interfaces. J. Comput. Phys. 118, 2, 269-277.
2. AKCELIK, V., BIELAK, J., BIROS, G., EPANOMERITAKIS, I., FERNANDEZ, A., GHATTAS, O., KIM, E. J., LOPEZ, J., CHALLARON, D., TU, T., AND URBANIC, J. 2003. High resolution forward and inverse earthquake modeling on terasacale computers. In Proceedings of SC03. Phoenix, AZ.
3. BANSAL, S. AND MODHA, D. 2004. Car: Clock with, adaptive replacement. In Proceedings of the 3rd USENIX Symposium on File and Storage Technologies.
4. BARGTEIL, A. W., GOKTEKIN, T. G., O'BRIEN, J. F., AND STRAIN, J. A. 2006. A semi-lagrangian contouring method for fluid simulation. ACM Trans. Graph. 25, 1.
5. BREEN, D. E. AND WHITAKER, R. T. 2001. A level-set approach for the metamorphosis of solid models. IEEE Trans. Visualiz. Comput. Graph. 7, 2, 173-192.
6. BRIDSON, R. 2003. Computational aspects of dynamic surfaces. Ph.D. thesis, Stanford University.
7. BROWN, A. D. 2005. Explicit compiler-based memory management for out-of-core applications. Ph.D. thesis, Carnegie Mellon University.
8. CHIANG, Y.-J. AND SILVA, C. T. 1997. I/o optimal isosurface extraction (extended abstract). IEEE Visualiz. 293-300.
9. CHOI, J., NOH, S. H., MIN, S. L., AND CHO, Y. 2000. Towards application/file-level characterization of block references: a case for finegrained buffer management. In Proceedings of the ACM SIGMETRICS International Conference on Measurement and Modeling of Computer-Systems (SIGMETRICS'00). ACM Press, New York, NY, 286-295.
10. CIGNONI, P., MONTANI, C., ROCCHINI, C., AND SCOPIGNO, R. 2003. External memory management and simplification of huge meshes. IEEE Trans. Visualiz. Comput. Graph. 9, 4, 525-537.
11. CIGNONI, P., ROCCHINI, C., AND SCOPIGNO, R. 1996. Metro: Measuring error on simplified surfaces. Tech. rep., Centre National de la Recherche Scientifique Paris, France.
12. COX, M. AND ELLSWORTH, D. 1997. Application-controlled demand paging for out-of-core visualization. In Proceedings of the 8th Conference on Visualization (VIS'97). IEEE Computer Society Press, Los Alamitos, CA, 235-ff.
13. DESBRUN, M., MEYER, M.., SCHRODER, P., AND BARR, A. H. 1999. Implicit fairing of irregular meshes using diffusion and curvature flow. In Proceedings of the 26th Annual Conference on Computer Graphics and Interactive Techniques (SIGGRA PH '99). ACM Press/Addison-Wesley Publishing Co., New York, NY, 317-324.
14. DONGARRA, J., LUMSDAINE, A., NIU, X., POZO, R., AND REMINGTON, K. 1994. A sparse matrix library in C++ for high performance architectures. 214-218. http://citeseer.1st. psu.edu/do.ngarra94sparse.html.
15. ECKSTEIN, I., DESBRUN, M., AND KIJO, C. J. 2006. Compression of time varying isosurfaces. In Pmceedings of Graphics Interface.
16. ENRIGHT, D., FEDKIW, R., FERZIGER, J., AND MITCHELL, I. 2002. A hybrid particle level, set method for improved interface capturing. J. Comput. Phys. 183, 1, 83-116.
17. ENRIGHT, D., M.ARSCHNER, S., AND FEDKIW, R. 2002. Animation, and rendering of complex water surfaces. In Proceedings of SIGGRAPH. Computer Graphics Proceedings, Annual Conference Series. ACM, 736-744.
18. FOSTER, N. AND FEDKIW, R. 2001. Practical animation of liquids. In Proceedings of ACM SIGGRAPH. Annual Conference Series. 23-30.
19. GEIGER, W., LEO, M., RASMUSSEN, N., LOSASSO, F., AND FEDKIW, R. 2006. So real it'll make you wet. In Proceedings of the SIGGRAPH Conference on Sketches & Applications. ACM.
20. GLASS, G. AND CAO, P. 1997. Adaptive page replacement based on memory reference behavior. In SIGMETRICS '97: Proceedings of the ACM SIGMETRICS International. Conference on Measurement and Modeling of Computer Systems. ACM, 115-126.
21. GOBBETTT, E. AND MARTON, F. 2005. Far voxels: A multiresolution framework for interactive rendering of huge complex 3d models on commodity graphics platforms. ACAf Trans. Graph, 24, 3, 878-885.
22. HESTENES, M. R. AND STIEFEL, E. L. 1952. Methods of conjugate gradients for solving linear systems. J. Res. Nat. Bur. Standards Sect. 5, 49, 409-436.
23. HIEBER, S. E. AND KOUMOUTSAKOS, P. 2005. A lagrangian particle level set method. J. Comput. Phys. 210, 1, 342-367.
24. HOUSTON, B., NIELSEN, M., BATTY, C., NILSSON, O., AND MUSETH, K. 2006. Hierarchical RLE level set: A compact and versatile deformable surface representation. ACMTrans. Graph. 25, 1, 1-24.
25. HOUSTON, B., WIEBE, M., AND BATTY, C 2004. RLE sparse level sets. In Proceedings of the SIGGRAPH Conference on Sketches and Applications. ACM.
26. HY TRAC, U.-L. P. 2006. Out-of-core hydrodynamic simulations for cosmological applications. New Astronomy.
27. IBARRIA, L., LINDSTROM, P., ROSSIGNAC, J., AND SZYMCZAK, A. 2003. Out-of-core compression and decompression of large n-dimensional scalar fields. Comput. Graph. For: 22, 3, 343-348.
28. IRVING, G., GUENDELMAN, E., LOSASSO, F., AND FEDKIW, R. 2006. Efficient simulation of large bodies of water by coupling two and three dimensional techniques. ACM Trans. Graph. 25, 3, 805-811.
29. ISENBURG, M. 2004. Compression and steaming of polygon meshes. PhD thesis, University of North Carolina, In Graphics Conference Proceedings. 284-293.
30. ISENBURG, M. AND ALLIEZ, P. 2002. Compressing hexahedral volume meshes.
31. ISENBURG, M. AND GUMHOLD, S. 2003. Out-of-core compression for gigantic polygon meshes. ACM Trans. Graph. 22, 3, 935-942.
32. ISENBURG, M.., LINDSTROM, P., AND SNOEYINK, J. 2004. Lossless compression of floating-point geometry. CAD '3D.
33. ISENBURG, M., LLNDSTROM, P., AND SNOEYINK, J. 2005. Streaming compression of triangle meshes. In Symposium on Geometry Processing. 111-118.
34. JIANG, S. AND ZHANG, X. 2002. Lirs: An efficient low inter-reference recency set replacement policy to improve buffer cache performance. In Proceedings of the ACM SIGMETRICS International Conference on Measurement and Modeling of Computer Systems (SIGMETRICS'02). 31-42.
35. JOHNSON, X AND SHASHA, D. 1994. 2q: A low overhead high performance buffer management replacement algorithm. In Proceedings of the 20th International Conference on Very Large Data Bases (VLDB '94). Morgan Kaufmann Publishers Inc., San Francisco, CA, 439-450.
36. JONES, M. W. 2004. Distance field compression. In Proceedings of International Conference on Computer Graphics Visulization and Computer Vision. (WSCG) 199-204.
37. JU, T., LOSASSO, F., SCHAEFER, S., AND WARREN, J. 2002. Dual contouring of hermite data. In Proceedings of the 29th Annual Conference on Computer Graphics and Interactive Techniques (SIGGRAPH'02). ACM, 339-346.
38. KÄLBERER, F., POLTHIER, K., RETTEBUCH, U., AND WARDETZKY, M. 2005. Free lence-coding with free valences. In Proceedings of Eumgraphics.
39. KIM, J. M., CHOI, J., KIM, J., NOH, S. H., MIN, S. L., CHO, Y., AND KIM, C.-S. 2000. A low-overhead, high-performance unified buffer management scheme that exploits sequential and looping references. In Proceedings of the Symposium on Opemting Systems Design and Implementation. (OSDI). 119-134.
40. KINCAID, D. AND CHENEY, W. 1.991. Numerical analysis: mathematics of scientific computing. Brooks/Cole Publishing Co., Pacific Grove, CA, USA.
41. KOBBELT, L. P., BOTSCH, M., SCHWANECKE, U., AND SEIDEL, H.-P. 2001. Feature sensitive surface extraction from volume data. In. Proceedings of ACM SIGGRAPH. Annual Conference Series. 15-22.
42. KRISHNAMOORTHY, S., BAUMQARTNER, G., LAM, C.-C., NIEPLOCHA, J., AND SADAYAPPAN, P. 2004. Efficient layout transformation for disk-based multidimensional arrays. In Proceedings of International Conference in Performance Computing (HiPC). 386-398.
43. LANEY, D. E., BERTRAM, M., DUCHAINEAU, M. A., AND MAX, N. 2002. Multiresolution distance volumes for progressive surface compression. In Pmceedings of International Conference on 3D Data Processing Visualization and Transmission (3DPVT). 470-479.
44. LEE, D., CHOI, J., KIM, J.-.H., NOH, S. H., MIN, S. L., CHO, Y., AND KIM, C S. 1999. On the existence of a spectrum of policies that subsumes the least recently used (lru) and least frequently used (lfu) policies. In Proceedings of the 1999 ACM SIGMETRICS International Conference on Measurement and Modeling of Computer Systems (SIGMETRICS'99). ACM. 134-143.
45. LEE, H., DESBRUN, M., AND SCHRODER, P. 2003. Progressive encoding of complex isosurfaces. ACM Trans. Graph. 22, 3, 471-476.
46. LEFOHN, A. E., KNISS, J., HANSEN, C., AND WHITAKER, R. 2003. Inter active deformation and visualization of level set surfaces using graphics hardware. In IEEE Visual. 75-82.
47. LEVEQUE, R. 1996. High-resolution conservative algorithms for advection in incompressible flow. SIAM J. Numer. Anal. 33, 627-665.
48. LEVOY, M.., PULLI, K., CURLESS, B., RUSINKIEWICZ, S., KOLLER, D., PEREIRA, L., GINZTON, M., ANDERSON, S., DAVIS, J., GINSBERG, J., SHADE, J., AND FULK, D. 2000. The digital michelangelo project: 3d scanning of large statues. In Proceedings of the 27th Annual Conference on Computer Graphics and Interactive Techniques (SIGGRAPH'00). ACM. 131-144.
49. LI, M. AND VNANY!, P. 1997. An Introduction to Kolmogorov Complexity and Its Applications 2nd Ed. Springer-Verlag.
50. LIU, X., OSHER, S., AND CHAN, T. 1994. Weighted essentially nonoscillatory schemes. J. Comput. Phys. 115, 200-212.
51. LOPEZ, J. C., O'HALLARON, D. R., AND TU, T. 2004. Big wins with small application-aware caches. In Proceedings of the ACM/IEEE Conference on Super-computing. IEEE Computer Society, 20.
52. LORENSON, W. AND CLINE, H. 1982. Marching Cubes: A high resolution 3D surface construction algorithm. In Proceedings of SIGGRAPH (Computer Graphics) 21, 4, 163-169.
53. LOSASSO, F., FEDKIW, R., AND OSHER, S. 2005. Spatially adaptive techniques for level set methods and incompressible flow. Comput. Fluids. To appear.
54. LOSASSO, F., GIBOU, R., AND FEDKIW, R. 2004. Simulating water and smoke with an octree data structure. ACM Trans. Grap. 23, 3 (Aug.).
55. MASCARENHAS, A., ISENBURG, M., PASCUCCI, V., AND SNOEYINK, J. 2004. Encoding volumetric grids for streaming isosurface extraction. In Proceedings of International Conference on. 3D Data Processing vlsulization and Transmission (3DPVT), 665-672.
56. MATIAS, Y., SEGAL, E., AND VOTER, J. S. 2000. Efficient bundle sorting. In Pmceedings of the Eleventh Annual ACM-SIAM. Symposium on Discrete Algorithms (SODA '00). Society for Industrial and Applied Mathematics, Philadelphia, PA. 839-848.
57. MAUCH, S. 2003. Efficient algorithms for solving static Hamilton-Jacobi equations. Ph.D. thesis, California Institute of Technology.
58. MEGIDDO, N. AND MODHA1D. S. 2003. Arc: A self-tuning, low overhead replacement cache. In Pmceedings of the 2nd USENIX Conference on File and Storage Technologies (FAST'03). USENIX Association, Berkeley, CA. 115-130.
59. MILNE, R. B. 1995. An adaptive level-set method. Ph.D. thesis, University of California, Berkeley.
60. MIN, C 2004. Local level set method in high dimension and codimension. J. Computat: Phys. 200, 368-382.
61. MOFFAT, A., NEAL, R. M., AND WITTEN, I. H. 1998. Arithmetic coding revisited. ACM Trans. Inf. Syst. 16, 3, 256-294.
62. MUSETH, K., BREEN, D., WHITAKER, R., AND BARR, A. 2002. Level set surface editing operators. AC Trans. on Grap. 21, 3 (July), 330-338.
63. MUSETH, K., BREEN, D., WHITAKER, R., MAUCH, S., AND JOHNSON, D. 2005. Algorithms for interactive editing of level set models. Comput. Grap. For. 24, 4, 821-841.
64. NGUYEN, D. Q., FEDKIW, R., AND JENSEN, H. W. 2002. Physically based modeling and animation of fire. In Proceedings of the 29th Annual Conference on Computer Graphics and Interactive Techniques (SIGGRAPH'02). ACM Press, New York, NY, USA, 721-728.
65. NGUYEN, K. G. AND SAUPE, D. 200.1. Rapid high quality compression of volume data for visualization. Comput. Graph. For. 20, 3.
66. NIELSEN, M. B. AND MUSETH, K. 2004a. Dynamic Tubular Grid: An efficient data structure and algorithms for high resolution level sets. Linköping Electronic Articles in Computer and Information Science 9, 001.
67. NIELSEN, M. B. AND MUSETH, K. 2004b. An optimized, grid independent, narrow band data structure for high resolution level sets. In Proceedings of SIGRAD'04.
68. NIELSEN, M. B. AND MUSETH, K. 2006. Dynamic Tubular Grid: An efficient data structure and algorithms for high resolution level sets. J. Scient. Comput. 26, 3, 261-299.
69. O'NEIL, E. J., O'NEIL, P. E., AND WEIKUM, G. 1993. The lru-k page replacement algorithm for database disk, buffering. In Proceedings of the ACM. SIGMOD International Conference on Management of Data, P. Buneman and S. Jajodia, Eds. ACM, 297-306.
70. OSHER, S. AND FEDKIW, R. 2002. Level Set Methods and Dynamic Implicit Surfaces. Springer-Verlag, Berlin, Germany.
71. OSHER, S. AND SETHIAN, J. A. 1988. Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79, 12-49.
72. PAJAROLA, R. 2005. Stream-processing points, m IEEE Visualiz. 31.
73. PASCUCCI, V. AND FRANK, R.J. 2001. Global static indexing for real-time exploration of very large regular grids. In Proceedings of the ACM/IEEE conference on Supercomputing (Supercomputing'01) . ACM, 2-2.
74. PATTERSON, R. H., GIBSON, G. A., GINTING, E., STODOLSKY, D., AND ZELENKA, J. 1995. Informed prefetching and caching. In Proceedings of the 15th ACM. Symposium on Operating Systems Principles. ACM. 79-95.
75. PENG, D., MERRIMAN, B., OSHER, S., ZHAO, H., AND KANG, M. 1999. A PDE-based fast local, level, set method. J. Comput. Phys. 155, 2, 410-438.
76. ROBINSON, J. T. AND DEVARAKONDA, M. V. 1990. Data cache management using frequency-based replacement. In Proceedings of the ACM SIGMETRICS Conference on Measurement and Modeling of Computer Systems (SIGMETRICS'90). ACM, 134-142.
77. SALMON, J. K. AND WARREN, M. S. 1997. Parallel, out-of-core methods for n-body simulation. In Proceedings of Conference on Parallel Processing for Scientific Computing (PPSC).
78. SALOMON, D. 2007. Data Compression: The Complete Reference. With contributions by Giovanni Motta and David Bryant, Springer-Verlag.
79. SCHLOSSER, S. W., SCHINDLER, J., P APADOMANOLAKIS, S., SHAO, M., AILAMAKI, A., FALOUTSOS, C., AND GANGER, G. R. 2005. On multidimensional data and modem disks. In Proceedings of USENIX Conference on File and Storage Technologies (FAST).
80. SEAMONS, K. E. AND WINSLETT, M. 1996. Multidimensional array i/o in panda 1.0. J. Supercomput. 10, 2, 191-211.
81. SETHIAN, J. A. 1999. Level Set Methods and Fast Marching Methods 2nd Ed. Cambridge University Press, Cambridge, UK.
82. SILVA, C., CHIANG, Y., EL-SANA, J., AND LINDSTROM, P. 2002. Out-of-core algorithms for scientific visualization and computer graphics.
83. SMARAGDAKIS, Y., KAPLAN, S., AND WILSON, P. 1999. Eelru: simple and effective adaptive page replacement. In Proceedings of the ACM SIGMETRICS International Conference on Measurement and Modeling of Computer Systems (SIGMETRICS'99). ACM, NY, 122-133.
84. STAM, J. 1999. Stable fluids. In Proceedings of SIGGRAPH '99. Annual Conference Series. 121-128.
85. STRAIN, J. 1999. Tree methods for moving interfaces. J. Comput. Phys. 151, 2, 616-648.
86. SUSSMAN, M., ALMGREN, A. S., BELL, J. B., COLELLA, P., HOWELL, L. H., AND WELCOME, M. L. 1999. An adaptive level set approach for incompressible two-phase flows. J. Comput. Phys. 148, 1, 81-124.
87. TAKAHASHI, T., FUJII, H., KUNIMATSU, A., KAZUHIRO HIWADA, J. S., TANAKA. K., AND UEKI, H. 2003. Realistic animation of fluid with, splashes and. foam. Comput. Graph. For. 22, 3, 391-401.
88. TANENBAUM, A. S. 1992. Modern Operating Systems. Prentice-Hall, Inc., Upper Saddle River, NJ.
89. TANG, H.-Z., TANG, T., AND ZHANG, P. 2003. An adaptive mesh redistribution method for nonlinear hamilton-jacobi equations in two-and three-dimensions. J. Comput. Phys. 188, 2, 543-572.
90. TAUBIN, O. 2002. Blic: Bi-level isosurface compression. In. IEEE Visualiz.
91. TOLEDO, S. 1995. Quantitative performance modeling of scientific computations and creating locality in numerical algorithms. PhD thesis, MIT.
92. TOLEDO, S. 1999. A survey of out-of-core algorithms in numerical linear algebra. In External Memory Algorithms. American Mathamatical Society, 161-179.
93. TOUMA, C. AND GOTSMAN, C. 1998. Triangle mesh compression. In Proceedings of Conference (Graphics Interface). 26-34.
94. TRAC, H. AND PEN, U.-L. 2006. Out of core hydrodynamic Simulations for Cosmological applications. New Astronomy 11, 4, 273-286.
95. TU, T., O'HALLARON, R., AND LOPEZ, C. 2004. Etree: A database-oriented method for generating large octree meshes. Eng. Comput. 20, 2, 117-128.
96. VOTER, J. S. 200.1. External memory algorithms and data structures: dealing with massive data. ACM Comput. Surv. 33, 2, 209-271.
97. VITTER, J. S. AND SHRIVER, E. A. M. 1994. Algorithms for parallel memory i: Two-level memories. Algorithmica 12, 2/3, 110-147.
98. WHITAKER, R. X 1998. A level-set approach to 3d reconstruction from range data. Int. J. Comput. Vision 29, 3, 203-231.
99. XIJ, J. AND ZHAO, H. 2003. An eulerian formulation for solving partial differential equations along a moving interface. J. Scient. Comput. 19, 1-3, 573-594.
100. YANG, C.-K. AND CHIUEH, T.-C. 2006. Integration of volume decompression and out-of-core iso-surface extraction from irregular volume data. Vis. Comput. 22, 4, 249-265.
101. ZHAO, H.-.K., OSHER, S., AND FEDKIW, R. 2001. Fast surface reconstruction using the level set method. In Proceedings of the IEEE Workshop on. Variational and Level Set Methods (VLSM'01). IEEE Computer Society, 194.
102. ZHOU, Y., CHEN, Z., AND LI, K. 2004. Second-level buffer cache management. IEEE Trans. Parall Distrib. Syst. 15, 6, 505-519.