Reconstructing Shapes from Support and Brightness Functions Contents

vi Dedication viii Acknowledgements ix 1 Introduction 1 1.

[1]  Steven Kay,et al.  Fundamentals Of Statistical Signal Processing , 2001 .

[2]  A. Laurentini,et al.  The Visual Hull Concept for Silhouette-Based Image Understanding , 1994, IEEE Trans. Pattern Anal. Mach. Intell..

[3]  Peyman Milanfar,et al.  Reconstruction of Convex Bodies from Brightness Functions , 2003, Discret. Comput. Geom..

[4]  H. Groemer.  On the symmetric difference metric for convex bodies. , 2000 .

[5]  Remco C. Veltkamp,et al.  Shape matching: similarity measures and algorithms , 2001, Proceedings International Conference on Shape Modeling and Applications.

[6]  Peyman Milanfar,et al.  Shape reconstruction from brightness functions , 2001, SPIE Optics + Photonics.

[7]  M. A. Sumbatyan,et al.  Reconstruction of the shape of a convex defect from a scattered wave field in the ray approximation , 1992 .

[8]  Alfred O. Hero,et al.  Lower bounds for parametric estimation with constraints , 1990, IEEE Trans. Inf. Theory.

[9]  Avinash C. Kak,et al.  Principles of computerized tomographic imaging , 2001, Classics in applied mathematics.

[10]  James J. Little,et al.  An iterative method for reconstructing convex polyhedra from extended gaussian images , 1983, AAAI 1983.

[11]  Narendra Ahuja,et al.  Generating Octrees from Object Silhouettes in Orthographic Views , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[12]  Takashi Ohe,et al.  A numerical method for finding the convex hull of polygonal cavities using the enclosure method , 2002 .

[13]  Richard O. Duda,et al.  Pattern classification and scene analysis , 1974, A Wiley-Interscience publication.

[14]  Shape from Diameter: Recognizing Polygonal Parts with . . . , 1993 .

[15]  Pan Zhigeng,et al.  A new mesh simplification algorithm based on triangle collapses , 2001 .

[16]  Sanjeev R. Kulkarni,et al.  Local tests for consistency of support hyperplane data , 1996, Journal of Mathematical Imaging and Vision.

[17]  A. Bruckstein,et al.  Reconstructing a Convex Polygon from Binary Perspective Projections , 1989, The Sixteenth Conference of Electrical and Electronics Engineers in Israel,.

[18]  B. C. Ng,et al.  On the Cramer-Rao bound under parametric constraints , 1998, IEEE Signal Processing Letters.

[19]  R. Gardner.  Geometric Tomography: Parallel X-rays of planar convex bodies , 2006 .

[20]  Nicholas I. Fisher,et al.  On the Estimation of a Convex Set from Noisy Data on its Support Function , 1997 .

[21]  Shuo-Yen Robert Li,et al.  Reconstruction of Polygons from Projections , 1988, Information Processing Letters.

[22]  Alfred M. Bruckstein,et al.  Blind approximation of planar convex sets , 1994, IEEE Trans. Robotics Autom..

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

[24]  Peter Hall,et al.  On the Estimation of a Convex Set With Corners , 1999, IEEE Trans. Pattern Anal. Mach. Intell..

[25]  Jerry L Prince.  Geometric model-based estimation from projections , 1988 .

[26]  Hamid Zouaki.  Modélisation et optimisation numérique pour la reconstruction d'un polyèdre à partir de son image gaussienne généralisée. (Modelisation and numerical optimization for the reconstruction of a convex polyhedron from its extented gaussian image) , 1991 .

[27]  Gabor T. Herman,et al.  Image Reconstruction From Projections , 1975, Real Time Imaging.

[28]  K. Ball.  CONVEX BODIES: THE BRUNN–MINKOWSKI THEORY , 1994 .

[29]  Jens Gregor,et al.  Three‐dimensional support function estimation and application for projection magnetic resonance imaging , 2002, Int. J. Imaging Syst. Technol..

[30]  Y. J. Tejwani,et al.  Robot vision , 1989, IEEE International Symposium on Circuits and Systems,.

[31]  Pierre Moulin,et al.  Asymptotic global confidence regions in parametric shape estimation problems , 2000, IEEE Trans. Inf. Theory.

[32]  Luc Jaulin,et al.  Finding Feasible Parameter Sets for Shape from Silhouettes with Unknown Position of the Viewpoints , 2003, WSCG.

[33]  Paolo Gronchi,et al.  Convex bodies with extremal volumes having prescribed brightness in finitely many directions , 1995 .

[34]  Sanjeev R. Kulkarni,et al.  Convex-polygon estimation from support-line measurements and applications to target reconstruction from laser-radar data , 1992 .

[35]  E. Mammen,et al.  A General Projection Framework for Constrained Smoothing , 2001 .

[36]  Markus Kiderlen,et al.  NON-PARAMETRIC ESTIMATION OF THE DIRECTIONAL DISTRIBUTION OF STATIONARY LINE AND FIBRE PROCESSES , 2001 .