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We study the problem of 3D shape reconstruction from 2D landmarks extracted in a single image.
Visual reconstruction
Andrew Blake and Andrew Zisserman · 1987
Earlier work this paper cites.
Closed-form solution of absolute orientation using unit quaternions
Berthold K. P. Horn · 1987
Earlier work this paper cites.
Positive polynomials on compact semi-algebraic sets
Mihai Putinar · 1993
Earlier work this paper cites.
Active shape models - their training and application
Timothy F. Cootes, Christopher J. Taylor, David H. Cooper, and Jim Graham · 1995
Earlier work this paper cites.
On the unification of line processes, outlier rejection, and robust statistics with applications in early vision
Michael J. Black and Anand Rangarajan · 1996
Earlier work this paper cites.
Global optimization with polynomials and the problem of moments
Jean B. Lasserre · 2001
Earlier work this paper cites.
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Earlier work this paper cites.
A nonlinear programming algorithm for solving semidefinite programs via low-rank factorization
Burer, Samuel and Monteiro, Renato D C · 2003
Earlier work this paper cites.
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Johan Löfberg · 2004
Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Monique Laurent · 2009
Earlier work this paper cites.
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Johan Lofberg · 2009
Earlier work this paper cites.
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Jean-Bernard Lasserre · 2010
Earlier work this paper cites.
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Earlier work this paper cites.
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Grigoriy Blekherman, Pablo A Parrilo, and Rekha R Thomas · 2012
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Tillmann Weisser, Jean B Lasserre, and Kim-Chuan Toh · 2018
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Xiaowei Zhou, Menglong Zhu, Georgios Pavlakos, Spyridon Leonardos, Konstantinos G Derpanis, and Kostas Daniilidis · 2018
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