The Community for Technology Leaders
RSS Icon
Subscribe
Issue No.04 - April (2011 vol.17)
pp: 515-526
Woojin Ahn , Korea Advanced Institute of Science and Technology, Daejeon
Doo Yong Lee , Korea Advanced Institute of Science and Technology, Daejeon
ABSTRACT
This paper presents a method of self-intersection detection and resolution for dynamic cylindrical-lattice-based free-form deformation (FFD). The lattice-based approach allows efficient computation of deformation of complex geometries. But excessive deformation can cause visual anomalies such as surface infiltration and distortion. This paper derives a geometrically intuitive sufficient condition to guarantee that the FFD function is a homeomorphism and there is no self-intersection. The FFD function is defined by linear and quadratic B-Spline functions with the control points of the cylindrical lattice cell. The sufficient condition is satisfied if each trilinear function of the nine prism-shaped pentahedrons derived from the cell has a positive Jacobian determinant. The positivity is satisfied if the 12 tetrahedrons derived from the pentahedron have positive volumes. Based on the sufficient condition, the proposed method converts the self-intersection problem into a point-face collision detection and response problem suitable for dynamic simulation. The efficiency and accuracy of the self-intersection detection algorithm is analyzed and compared with a previous method. The results show that the proposed technique allows simulation of excessive deformation of tubular objects in an efficient and realistic manner.
INDEX TERMS
Free-form deformation, self-intersection, collision, simulation.
CITATION
Woojin Ahn, Doo Yong Lee, "Real-Time Resolution of Self-Intersection in Dynamic Cylindrical Free-Form Deformation", IEEE Transactions on Visualization & Computer Graphics, vol.17, no. 4, pp. 515-526, April 2011, doi:10.1109/TVCG.2010.54
REFERENCES
[1] W. Ahn, J.K. Joo, H.S. Woo, D.Y. Lee, and S.Y. Yi, "Centerline-Based Parametric Model of Colon for Colonoscopy Simulator," Proc. 14th Ann. Conf. Medicine Meets Virtual Reality, pp. 1-6, 2006.
[2] A. Angelidis, G. Wyvill, and M.-P. Cani, "Sweepers: Swept User-Defined Tools for Modeling by Deformation," Proc. IEEE CS Int'l Conf. Shape Modeling and Applications, pp. 63-73, 2004.
[3] J. Barbič and D.L. James, "Real-Time Subspace Integration for St.Venant-Kirchhoff Deformable Models," ACM Trans. Graphics, vol. 24, no. 3, pp. 982-990, July 2005.
[4] C. Basdogan, C.-H. Ho, and M.A. Srinivasan, "Virtual Environments for Medical Training: Graphical and Haptic Simulation of Laparoscopic Common Bile Duct Exploration," IEEE/ASME Trans. Mechatronics, vol. 6, no. 3, pp. 269-285, Sept. 2001.
[5] R. Bridson, R. Fedkiw, and J. Anderson, "Robust Treatment of Collisions, Contact, and Friction for Cloth Animation," ACM Trans. Graphics, vol. 21, no. 3, pp. 594-603, July 2002.
[6] S. Capell, S. Green, B. Curless, T. Duchamp, and Z. Popovic, "Interactive Skeleton-Driven Dynamic Deformations," ACM Trans. Graphics, vol. 21, no. 3, pp. 586-593, 2002.
[7] J.E. Chadwick, D.R. Haumann, and R.E. Parent, "Layered Construction for Deformable Animated Characters," Proc. ACM SIGGRAPH '89, pp. 243-252, 1989.
[8] M.G. Choi and H.-S. Ko, "Modal Warping: Real-Time Simulation of Large Rotational Deformation and Manipulation," IEEE Trans. Visualization and Computer Graphics, vol. 11, no. 1, pp. 91-101, Jan./Feb. 2005.
[9] S. Coquillart, "Extended Free-Form Deformation: A Sculpturing Tool for 3D Geometric Modeling," Proc. ACM SIGGRAPH '90, vol. 24, no. 4, pp. 187-196, Aug. 1990.
[10] J. Davanne, P. Meseure, and C. Chaillou, "Stable Haptic Interaction in a Dynamic Virtual Environment," Proc. IEEE/RSJ Int'l Conf. Intelligent Robots and Systems, pp. 2881-2886, 2002.
[11] P. Faloutsos, M. van de Panne, and D. Terzopoulos, "Dynamic Free-Form Deformations for Animation Synthesis," IEEE Trans. Visualization and Computer Graphics, vol. 3, no. 3, pp. 201-214, July/Sept. 1997.
[12] G. Farin, Curves and Surfaces for Computer Aided Geometric Design: A Practical Guide, fourth ed., Academic Press, 1997.
[13] J.E. Gain and N.A. Dodgson, "Preventing Self-Intersection under Free-Form Deformation," IEEE Trans. Visualization and Computer Graphics, vol. 7, no. 4, pp. 289-298, Oct. 2001.
[14] S. Green, "CUDA Particles," NVIDIA white paper, June 2008.
[15] L. Guibas, A. Nguyen, D. Russel, and L. Zhang, "Collision Detection for Deforming Necklaces," Proc. ACM Symp. Computational Geometry, pp. 33-42, 2002.
[16] E. Grinspun and P. Schröder, "Normal Bounds for Subdivision-Surface Interference Detection," Proc. IEEE Visualization Conf '01, pp. 333-340, 2001.
[17] K.K. Hauser, C. Shen, and J.F. O'Brien, "Interactive Deformation Using Modal Analysis with Constraints," Proc. Graphics Interface, pp. 247-255, 2003.
[18] G. Hirota, R. Maheshwari, and M.C. Lin, "Fast Volume-Preserving Free Form Deformation Using Multi-Level Optimization," Proc. Fifth ACM Symp. Solid Modeling and Applications, pp. 234-245, 1999.
[19] D.L. James and D.K. Pai, "DyRT: Dynamic Response Textures for Real Time Deformation Simulation with Graphics Hardware," Proc. ACM SIGGRAPH '02, pp. 582-585, 2002.
[20] D.L. James and D.K. Pai, "BD-Tree: Output-Sensitive Collision Detection for Reduced Deformable Models," ACM Trans. Graphics, vol. 23, no. 3, pp. 393-398, Aug. 2004.
[21] S.-E. Kudo, Colonoscopy Insertion Technique. Igaku-Shoin, 1997.
[22] I. Lotan, F. Schwarzer, D. Halperin, and J.-C. Latombe, "Efficient Maintenance and Self-Collision Testing for Kinematic Chains," Proc. ACM Symp. Computational Geometry, pp. 43-52, 2002.
[23] D. Mason and G. Wyvill, "Blendeforming: Ray Traceable Localized Foldover-Free Space Deformation," Proc. IEEE Int'l Conf. Computer Graphics '01, pp. 183-190, 2001.
[24] A. Mohr and M. Gleicher, "Building Efficient, Accurate Characters Skins from Examples," ACM Trans. Graphics, vol. 22, no. 3, pp. 562-568, Aug. 2003.
[25] A. Nealen, M. Müller, R. Keiser, E. Boxerman, and M. Carlson, "Physically Based Deformable Models in Computer Graphics," Computer Graphics Forum, vol. 25, no. 4, pp. 809-836, 2006.
[26] A. Pentland and J. Williams, "Good Vibrations: Modal Dynamics for Graphics and Animation," Proc. ACM SIGGRAPH '89, vol. 23, no. 3, pp. 215-222, July 1989.
[27] A. Rappoport, A. Sheffer, and M. Bercovier, "Volume-Preserving Free-Form Solids," IEEE Trans. Visualization and Computer Graphics, vol. 2, no. 1, pp. 19-27, Mar. 1996.
[28] L. Raghupathi, L. Grisoni, F. Faure, D. Marchal, M.-P. Cani, and C. Chaillou, "An Intestinal Surgery Simulator: Real-Time Collision Processing and Visualization," IEEE Trans. Visualization and Computer Graphics, vol. 10, no. 6, pp. 708-718, Nov. 2004.
[29] T.W. Sederberg and S.R. Parry, "Free-Form Deformation of Solid Geometric Models," Proc. ACM SIGGRAPH '86, vol. 20, no. 4, pp. 151-160, Aug. 1986.
[30] S.C. Schvartzman, J. Gascón, and M.A. Qtaduy, "Bounded Normal Trees for Reduced Deformations of Triangulated Surfaces," Proc. Eurographics/ACM SIGGRAPH Symp. Computer Animation, pp. 75-82, 2009.
[31] M. Teschner, B. Heidelberger, M. Müller, and M. Gross, "A Versatile and Robust Model for Geometrically Complex Deformable Solids," Proc. IEEE Int'l Conf. Computer Graphics (CGI '04), pp. 312-319, 2004.
[32] M. Teschner, S. Kimmerle, B. Heidelberger, G. Zachmann, L. Raghupathi, A. Fuhrmann, M.-P. Cani, F. Faure, N. Magnenat-Thalmann, W. Strasser, and P. Volino, "Collision Detection for Deformable Objects," Computer Graphics Forum, vol. 24, no. 1, pp. 61-81, 2005.
[33] G. Van Den Bergen, "Efficient Collision Detection of Complex Deformable Models Using AABB Trees," J. Graphics Tools, vol. 2, no. 4, pp. 1-13, 1997.
[34] P. Volino and N. Magnenat-Thalmann, "Real-Time Animation of Complex Hairstyles," IEEE Trans. Visualization and Computer Graphics, vol. 12, no. 2, pp. 131-142, Mar./Apr. 2006.
[35] R.Y. Wang, K. Pulli, and J. Popovic, "Real-Time Enveloping with Rotational Regression," ACM Trans. Graphics, vol. 26, no. 3,article 73, July 2007.
[36] J.D. Waye, D.K. Rex, and C.B. Williams, Colonoscopy: Principle and Practice, first ed., Blackwell Publishing, 2003.
[37] H.S. Woo, W.S. Kim, W. Ahn, D.Y. Lee, and S.Y. Yi, "Haptic Interface of the KAIST-Ewha Colonoscopy Simulator II," IEEE Trans. Information Technology in Biomedicine, vol. 12, no. 6, pp. 746-753, Nov. 2008.
18 ms
(Ver 2.0)

Marketing Automation Platform Marketing Automation Tool