Reconstruction of Animated Models from Images Using Constrained Deformable Surfaces

We present a new linear incremental method for digital hyperplane1 recognition. The first linear incremental algorithm was given for 8-connected planar lines in [DR95]. Our method recognizes any subset of line in the plane or plane in the space. We present the Megiddo linear programming (LP) algorithm in linear time and describe its adaptation to our problem. Then we explain its improvement toward a linear incremental method.

[1]  Larry S. Davis,et al.  Multi-perspective analysis of human action , 1999 .

[2]  James S. Duncan,et al.  Model-based deformable surface finding for medical images , 1996, IEEE Trans. Medical Imaging.

[3]  N. Megiddo Linear-time algorithms for linear programming in R3 and related problems , 1982, FOCS 1982.

[4]  Takeo Kanade,et al.  Virtualized Reality: Constructing Virtual Worlds from Real Scenes , 1997, IEEE Multim..

[5]  Demetri Terzopoulos,et al.  Symmetry-seeking models and 3D object reconstruction , 1988, International Journal of Computer Vision.

[6]  Paolo Cignoni,et al.  Metro: Measuring Error on Simplified Surfaces , 1998, Comput. Graph. Forum.

[7]  Wei Sun,et al.  Virtual people: capturing human models to populate virtual worlds , 1999, Proceedings Computer Animation 1999.

[8]  Raimund Seidel,et al.  Small-dimensional linear programming and convex hulls made easy , 1991, Discret. Comput. Geom..

[9]  Michael Ian Shamos,et al.  Computational geometry: an introduction , 1985 .

[10]  Nimrod Megiddo,et al.  Linear Programming in Linear Time When the Dimension Is Fixed , 1984, JACM.

[11]  Kenneth L. Clarkson,et al.  A Las Vegas algorithm for linear programming when the dimension is small , 1988, [Proceedings 1988] 29th Annual Symposium on Foundations of Computer Science.

[12]  Herbert Edelsbrunner,et al.  Algorithms in Combinatorial Geometry , 1987, EATCS Monographs in Theoretical Computer Science.

[13]  Hans-Peter Seidel,et al.  Interactive multi-resolution modeling on arbitrary meshes , 1998, SIGGRAPH.

[14]  Ramesh Raskar,et al.  Image-based visual hulls , 2000, SIGGRAPH.

[15]  Pascal Fua,et al.  From Image Synthesis to Image Analysis: Using Human Animation Models to Guide Feature Extraction , 1998 .

[16]  Anand Rangarajan,et al.  A new algorithm for non-rigid point matching , 2000, Proceedings IEEE Conference on Computer Vision and Pattern Recognition. CVPR 2000 (Cat. No.PR00662).

[17]  Micha Sharir,et al.  Efficient algorithms for geometric optimization , 1998, CSUR.

[18]  Daniel Thalmann,et al.  Fast realistic human body deformations for animation and VR applications , 1996, Proceedings of CG International '96.

[19]  Demetri Terzopoulos,et al.  Deformable models in medical image analysis: a survey , 1996, Medical Image Anal..

[20]  Jake K. Aggarwal,et al.  TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE , 2008 .

[21]  Daniel Thalmann,et al.  Fast Human Body Deformations for Animation and VR Applications , 1994 .

[22]  Kenneth L. Clarkson,et al.  Linear Programming in O(n * (3_d)_2) Time , 1986, Information Processing Letters.

[23]  Adrian Hilton,et al.  Human Shape Estimation in a Multi-Camera Studio , 2001, BMVC.

[24]  Isabelle Debled-Rennesson,et al.  A Linear Algorithm for Segmentation of Digital Curves , 1995, Int. J. Pattern Recognit. Artif. Intell..

[25]  Ioannis A. Kakadiaris,et al.  Three-Dimensional Human Body Model Acquisition from Multiple Views , 1998, International Journal of Computer Vision.

[26]  Nimrod Megiddo,et al.  Linear-time algorithms for linear programming in R3 and related problems , 1982, 23rd Annual Symposium on Foundations of Computer Science (sfcs 1982).

[27]  Johan Montagnat,et al.  Volumetric medical images segmentation using shape constrained deformable models , 1997, CVRMed.

[28]  James S. Duncan,et al.  A Robust Point Matching Algorithm for Autoradiograph Alignment , 1996, VBC.