Subscribe

Issue No.06 - June (2011 vol.17)

pp: 850-856

Richard Southern , Bournemouth University, Poole

Jian J. Zhang , Bournemouth University, Poole

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/TVCG.2010.95

ABSTRACT

A least-squares mesh is a surface representation consisting of a small set of anchor points and the differential and topological properties of the surface. In this paper, we present a novel method to identify motion-sensitive anchor points for least-squares meshes from a set of examples. We present a new method, called clustered teleconnection analysis, to identify the maximally excited points in a subset of basis vectors deduced using principal component analysis. We demonstrate by means of examples that our approach has a smaller reconstruction error and equivalent performance to the current best approaches.

INDEX TERMS

Geometric modeling, statistical models, scene analysis, clustering methods.

CITATION

Richard Southern, Jian J. Zhang, "Motion-Sensitive Anchor Identification of Least-Squares Meshes from Examples",

*IEEE Transactions on Visualization & Computer Graphics*, vol.17, no. 6, pp. 850-856, June 2011, doi:10.1109/TVCG.2010.95REFERENCES

- [1] O.K.-C. Au, C.L. Tai, L. Liu, and H. Fu, "Dual Laplacian Editing for Meshes,"
IEEE Trans. Visualization and Computer Graphics, vol. 12, no. 3, pp. 386-395, May/June 2006.- [2] Y. Chen, T.A. Davis, W.W. Hager, and S. Rajamanickam, "Algorithm 887: CHOLMOD, Supernodal Sparse Cholesky Factorization and Update/Downdate,"
ACM Trans. Math. Software, vol. 35, no. 3, pp. 1-14, 2009.- [3] M. Desbrun, M. Meyer, P. Schröder, and A.H. Barr, "Implicit Fairing of Irregular Meshes Using Diffusion and Curvature Flow,"
Proc. ACM SIGGRAPH, pp. 317-324, 1999.- [4] W.-W. Feng, B.-U. Kim, and Y. Yu, "Real-Time Data Driven Deformation Using Kernel Canonical Correlation Analysis,"
ACM Trans. Graphics, vol. 27, no. 3, pp. 1-9, 2008.- [5] J. Huang, X. Shi, X. Liu, K. Zhou, L.-Y. Wei, S.-H. Teng, H. Bao, B. Guo, and H.-Y. Shum, "Subspace Gradient Domain Mesh Deformation,"
ACM Trans. Graphics, vol. 25, no. 3, pp. 1126-1134, 2006.- [6] D.L. James and C.D. Twigg, "Skinning Mesh Animations,"
ACM Trans. Graphics, vol. 24, no. 3, pp. 399-407, Aug. 2005.- [7] H.F. Kaiser, "The Varimax Criterion for Analytic Rotation in Factor Analysis,"
Psychometrika, vol. 23, no. 1, pp. 187-200, 1958.- [8] L. Kavan, R. McDonnell, S. Dobbyn, J. Žára, and C. O'Sullivan, "Skinning Arbitrary Deformations,"
Proc. Symp. Interactive 3D Graphics and Games (I3D '07) , pp. 53-60, 2007.- [9] M. Meyer and J. Anderson, "Key Point Subspace Acceleration and Soft Caching,"
ACM Trans. Graphics., vol. 26, no. 3, p. 74, 2007.- [10] A. Mohr and M. Gleicher, "Building Efficient, Accurate Character Skins from Examples,"
ACM Trans. Graphics, vol. 22, no. 3, pp. 562-568, 2003.- [11] T. Park, MATLAB Implementation of Varimax Rotation, http://www.stat.ufl.edu/tpark/ResearchvarimaxTP.m , 2009.
- [12] M. Sattler, R. Sarlette, and R. Klein, "Simple and Efficient Compression of Animation Sequences,"
Proc. Eurographics/ACM SIGGRAPH Symp. Computer Animation, pp. 29-31, 2005.- [13] O. Sorkine and D. Cohen-Or, "Least-Squares Meshes,"
Proc. Int'l Conf. Shape Modeling and Applications (SMI '04), pp. 191-199, 2004.- [14] O. Sorkine, Y. Lipman, D. Cohen-Or, M. Alexa, C. Rössl, and H.-P. Seidel, "Laplacian Surface Editing,"
Proc. Eurographics/ACM SIGGRAPH Symp. Geometry Processing, pp. 175-184, 2004.- [15] O. Sorkine, D. Irony, and S. Toledo, "Geometry-Aware Bases for Shape Approximation,"
IEEE Trans. Visualization and Computer Graphics, vol. 11, no. 2, pp. 171-180, Mar./Apr. 2005.- [16] R.Y. Wang, K. Pulli, and J. Popović, "Real-Time Enveloping with Rotational Regression,"
Proc. ACM SIGGRAPH '07, p. 73, 2007.- [17] O. Weber, O. Sorkine, Y. Lipman, and C. Gotsman, "Context-Aware Skeletal Shape Deformation,"
Computer Graphics Forum, vol. 26, no. 3, pp. 265-274, 2007.- [18] L. Zhang, N. Snavely, B. Curless, and S.M. Seitz, "Spacetime Faces: High-Resolution Capture for Modeling and Animation"
Proc. ACM Annu. Conf. Computer Graphics, pp. 548-558, Aug. 2004. |