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Data structures for interactive high resolution level-set surface editing

Authors:

Manolya Eyiyurekli,

David E. BreenAuthors Info & Claims

GI '11: Proceedings of Graphics Interface 2011

Pages 95 - 102

Published: 25 May 2011 Publication History

Abstract

This paper presents data structures that enable interactive editing of large-scale level-set surface models. The new approach utilizes spatial hashing to store a narrow band of voxels around the level-set interface, as well as a k-d tree to hold the model's display points that lie on the surface itself. This sparse representation of voxels and surface points lets us create and modify high resolution levelset models with modest memory requirements, while allowing fast data access/modifications and interactive graphics updates. The data structures also support out-of-the-box editing, i.e. no bounding box limits the surface editing region, a restriction common when utilizing 3-D arrays. We formally define the level-set representation and demonstrate its interactive performance and scalability through manipulation of high-resolution level-set surface models.

References

[1]

D. Adalsteinsson and J. Sethian. A fast level set method for propagating interfaces. Journal of Computational Physics, 118(2):269--277, 1995.

Digital Library

[2]

J. Baerentzen and N. Christensen. Volume sculpting using the levelset method. In Proc. International Conference on Shape Modeling and Applications, pages 175--182, 2002.

Digital Library

[3]

J. H. Clark. Hierarchical geometric models for visible surface algorithms. Communications of the ACM, 19(10):547--554, 1976.

Digital Library

[4]

L. Coconu and H.-C. Hege. Hardware-oriented point-based rendering of complex scenes. In Proc. Eurographics Workshop on Rendering, pages 43--52, 2002.

Digital Library

[5]

H. Du and H. Qin. Free-form geometric modeling by integrating parametric and implicit PDEs. IEEE Transactions on Visualization and Computer Graphics, 13(3):549--561, 2007.

Digital Library

[6]

M. Eitz and G. Lixu. Hierarchical spatial hashing for real-time collision detection. In Proc. International Conference on Shape Modeling and Applications, pages 61--70, 2007.

Digital Library

[7]

M. Eyiyurekli and D. Breen. Interactive free-form level-set surface-editing operators. Computers & Graphics, 34(5):621--638, 2010.

Digital Library

[8]

M. Eyiyurekli, C. Grimm, and D. Breen. Editing level-set models with sketched curves. In Proc. Eurographics/ACM Symposium on Sketch-Based Interfaces and Modeling, pages 45--52, 2009.

Digital Library

[9]

E. Ferley, M.-P. Cani, and J.-D. Gascuel. Practical volumetric sculpting. The Visual Computer, 16(8):469--480, 2000.

[10]

E. Ferley, M.-P. Cani, and J.-D. Gascuel. Resolution adaptive volume sculpting. Graphical Models, 63(6):459--478, 2001.

Digital Library

[11]

S. Frisken, R. Perry, A. Rockwood, and T. Jones. Adaptively sampled distance fields: A general representation of shape for computer graphics. In Proc. SIGGRAPH, pages 249--254, 2000.

Digital Library

[12]

M. Gross and H. Pfister. Point-Based Graphics. Morgan Kaufmann, San Francisco, 2007.

Digital Library

[13]

E. J. Hastings, J. Mesit, and R. K. Guha. Optimization of large-scale, real-time simulations by spatial hashing. In Proc. 2005 Summer Computer Simulation Conference, Vol. 37, No. 4, pages 9--17, 2005.

[14]

B. Houston, M. Nielsen, C. Batty, O. Nilsson, and K. Museth. Hierarchical RLE level set: A compact and versatile deformable surface representation. ACM Transactions on Graphics, 25(1):151--175, 2006.

Digital Library

[15]

B. Houston, M. Wiebe, and C. Batty. RLE sparse level sets. In ACM SIGGRAPH Sketches, page 137, 2004.

Digital Library

[16]

S. Lefebvre and H. Hoppe. Perfect spatial hashing. ACM Transactions on Graphics (Proc. SIGGRAPH), 25(3):579--588, 2006.

Digital Library

[17]

X. Li, L. Gu, S. Zhang, J. Zhang, G. Zheng, P. Huang, and J. Xu. Hierarchical spatial hashing-based collision detection and hybrid collision response in a haptic surgery simulator. International Journal of Medical Robotics and Computer Assisted Surgery, 4(1):77--86, 2008.

[18]

W. Lorensen and H. Cline. Marching Cubes: A high resolution 3D surface construction algorithm. In Proc. SIGGRAPH, pages 163--169, July 1987.

Digital Library

[19]

F. Losasso, F. Gibou, and R. Fedkiw. Simulating water and smoke with an octree data structure. ACM Transactions on Graphics (Proc. SIGGRAPH), 23(3):457--462, 2004.

Digital Library

[20]

D. Meagher. Geometric modeling using octree encoding. Computer Graphics and Image Processing, 19(2):129--147, June 1982.

[21]

K. Museth, D. Breen, R. Whitaker, and A. Barr. Level set surface editing operators. ACM Transactions on Graphics (Proc. SIGGRAPH), 21(3):330--338, 2002.

Digital Library

[22]

K. Museth, D. Breen, R. Whitaker, S. Mauch, and D. Johnson. Algorithms for interactive editing of level set models. Computer Graphics Forum, 24(4):821--841, 2005.

[23]

M. Nielsen and K. Museth. Dynamic tubular grid: An efficient data structure and algorithms for high resolution level sets. Journal of Scientific Computing, 26(3):261--299, 2006.

Digital Library

[24]

M. Nielsen, O. Nilsson, A. Söderström, and K. Museth. Out-of-core and compressed level set simulations. ACM Transactions on Graphics, 26(4), 2007.

Digital Library

[25]

J. Nievergelt and P. Widmayer. Spatial data structures: Concepts and design choices. In Algorithmic Foundations of Geographic Information Systems, volume 1340 of Lecture Notes in Computer Science, pages 153--197. Springer, Berlin, 1997.

Digital Library

[26]

S. Osher and R. Fedkiw. Level Set Methods and Dynamic Implicit Surfaces. Springer, Berlin, 2002.

[27]

S. Osher and J. Sethian. Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. Journal of Computational Physics, 79:12--49, 1988.

Digital Library

[28]

D. Peng, B. Merriman, S. Osher, H.-K. Zhao, and M. Kang. A PDE-based fast local level set method. Journal of Computational Physics, 155:410--438, 1999.

Digital Library

[29]

R. Perry and S. Frisken. Kizamu: A system for sculpting digital characters. In Proc. SIGGRAPH, pages 47--56, 2001.

Digital Library

[30]

C. Reynolds. Big fast crowds on PS3. In Proc. 2006 ACM SIGGRAPH Symposium on Videogames, pages 113--121, 2006.

Digital Library

[31]

S. Rusinkiewicz and M. Levoy. Qsplat: a multiresolution point rendering system for large meshes. In Proc. SIGGRAPH, pages 343--352, 2000.

Digital Library

[32]

M. Sainz and R. Pajarola. Point-based rendering techniques. Computers & Graphics, 28(6):869--879, 2004.

Digital Library

[33]

H. Samet. The Design and Analysis of Spatial Data Structures. Addison-Wesley, Reading, MA, 1990.

Digital Library

[34]

J. Sethian. Level Set Methods and Fast Marching Methods. Cambridge University Press, Cambridge, UK, second edition, 1999.

[35]

M. Teschner, B. Heidelberger, M. Mueller, D. Pomeranets, and M. Gross. Optimized spatial hashing for collision detection of deformable objects. In Proc. Vision, Modeling and Visualization, pages 47--54, 2003.

[36]

R. Whitaker. A level-set approach to 3D reconstruction from range data. International Journal of Computer Vision, 29(3):203--231, 1998.

Digital Library

[37]

R. Whitaker. VISPACK. Technical Report UUCS 08--0011, School of Computing, University of Utah, 2008.

[38]

G. Wyvill, C. McPheeters, and B. Wyvill. Data structures for soft objects. The Visual Computer, 2(4):227--234, 1986.

Cited By

Canezin FGuennebaud GBarthe L(2018)SMI 2013Computers and Graphics10.1016/j.cag.2013.05.02437:6(565-573)Online publication date: 23-Dec-2018
https://dl.acm.org/doi/10.1016/j.cag.2013.05.024
Museth K(2013)VDBACM Transactions on Graphics (TOG)10.1145/2487228.248723532:3(1-22)Online publication date: 4-Jul-2013
https://dl.acm.org/doi/10.1145/2487228.2487235

Index Terms

Data structures for interactive high resolution level-set surface editing
1. Computing methodologies
  1. Computer graphics
    1. Graphics systems and interfaces
      1. Graphics file formats

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Published In

cover image Guide Proceedings

GI '11: Proceedings of Graphics Interface 2011

May 2011

247 pages

ISBN:9781450306935

Program Chairs:
Stephen Brooks
Dalhousie University, Canada
,
Pourang Irani
University of Manitoba, Canada

Publisher

Canadian Human-Computer Communications Society

Waterloo, Canada

Publication History

Published: 25 May 2011

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Overall Acceptance Rate 206 of 508 submissions, 41%

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Cited By

Canezin FGuennebaud GBarthe L(2018)SMI 2013Computers and Graphics10.1016/j.cag.2013.05.02437:6(565-573)Online publication date: 23-Dec-2018
https://dl.acm.org/doi/10.1016/j.cag.2013.05.024
Museth K(2013)VDBACM Transactions on Graphics (TOG)10.1145/2487228.248723532:3(1-22)Online publication date: 4-Jul-2013
https://dl.acm.org/doi/10.1145/2487228.2487235

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