We investigate the problem of estimating the 3D shape of an object, given a set of 2D landmarks in a single image.To alleviate the reconstruction ambiguity, a widely-used approach is to confine the unknown 3D shape within a shape space built upon existing shapes. While this approach has proven to be successful in various applications, a challenging issue remains, i.e., the joint estimation of shape parameters and camera-pose parameters requires to solve a nonconvex optimization problem. The existing methods often adopt an alternating minimization scheme to locally update the parameters, and consequently the solution is sensitive to initialization. In this paper, we propose a convex formulation to address this problem and develop an efficient algorithm to solve the proposed convex program. We demonstrate the exact recovery property of the proposed method, its merits compared to alternative methods, and the applicability in human pose and car shape estimation.

Filename	Size	Update
release	0	2017-01-13
release\data	0	2015-09-17
release\data\car	0	2015-09-17
release\data\car\cadmodels.mat	82991	2015-05-22
release\data\car\example1.mat	903524	2015-05-22
release\data\car\example2.mat	984944	2015-05-22
release\data\car\example3.mat	1045630	2015-05-22
release\data\car\example4.mat	986901	2015-05-23
release\data\car\example5.mat	1277609	2015-05-27
release\data\car\example6.mat	931584	2015-05-27
release\data\car\example7.mat	1013072	2015-05-27
release\data\car\example8.mat	661182	2015-05-27
release\data\car\example9.mat	1150780	2015-05-27
release\data\human	0	2017-01-13
release\data\human\cmu	0	2017-01-13
release\data\human\cmu\basketball.mat	177111	2017-01-12
release\data\human\cmu\box.mat	183703	2017-01-12
release\data\human\cmu\climb.mat	182059	2017-01-12
release\data\human\cmu\dance.mat	179697	2017-01-12
release\data\human\cmu\jump.mat	179272	2017-01-12
release\data\human\cmu\run.mat	171896	2017-01-12
release\data\human\cmu\ShapeDict8Motions.mat	45488	2016-03-29
release\data\human\cmu\sit.mat	183664	2017-01-12
release\data\human\cmu\walk.mat	172936	2017-01-12
release\data\human\example1.mat	400353	2014-09-18
release\data\human\example2.mat	2455528	2014-09-18
release\data\human\example3.mat	229561	2014-09-18
release\data\human\messi1.mat	608673	2015-05-27
release\data\human\messi2.mat	535690	2015-05-23
release\data\human\messi3.mat	660031	2015-05-27
release\data\human\messi4.mat	600732	2015-05-27
release\data\human\messi5.mat	547760	2015-05-27
release\data\human\messi6.mat	274609	2015-05-27
release\data\human\shapeDict.mat	45404	2015-10-09
release\data\human\shape_train.mat	534182	2015-09-23
release\data\human\skel.mat	490	2015-10-09
release\demo_car.m	1359	2016-05-28
release\demo_DL_human.m	244	2016-03-30
release\demo_human.m	642	2016-05-28
release\eval_cmu.m	1662	2017-01-13
release\manopt	0	2016-05-28
release\manopt\checkinstall	0	2016-05-28
release\manopt\checkinstall\basicexample.m	1286	2016-05-28
release\manopt\CLA.txt	2938	2016-05-28
release\manopt\COPYING.txt	35821	2016-05-28
release\manopt\CREDITS.txt	441	2016-05-28
release\manopt\examples	0	2016-05-28
release\manopt\examples\dominant_invariant_subspace.m	3957	2016-05-28
release\manopt\examples\generalized_procrustes.m	6690	2016-05-28
release\manopt\examples\maxcut.m	12014	2016-05-28
release\manopt\examples\maxcut_octave.m	10493	2016-05-28
release\manopt\examples\packing_on_the_sphere.m	8454	2016-05-28
release\manopt\examples\positive_definite_karcher_mean.m	3848	2016-05-28
release\manopt\examples\sparse_pca.m	6547	2016-05-28
release\manopt\examples\truncated_svd.m	6905	2016-05-28
release\manopt\importmanopt.m	606	2016-05-28
release\manopt\LICENSE.txt	1655	2016-05-28
release\manopt\manopt	0	2016-05-28
release\manopt\manopt\manifolds	0	2016-05-28
release\manopt\manopt\manifolds\complexcircle	0	2016-05-28
release\manopt\manopt\manifolds\complexcircle\complexcirclefactory.m	3467	2016-05-28
release\manopt\manopt\manifolds\euclidean	0	2016-05-28
release\manopt\manopt\manifolds\euclidean\euclideanfactory.m	2026	2016-05-28
release\manopt\manopt\manifolds\fixedrank	0	2016-05-28
release\manopt\manopt\manifolds\fixedrank\fixedrankembeddedfactory.m	6073	2016-05-28
release\manopt\manopt\manifolds\fixedrank\fixedrankfactory_2factors.m	5813	2016-05-28
release\manopt\manopt\manifolds\fixedrank\fixedrankfactory_2factors_preconditioned.m	5832	2016-05-28
release\manopt\manopt\manifolds\fixedrank\fixedrankfactory_2factors_subspace_projection.m	6255	2016-05-28
release\manopt\manopt\manifolds\fixedrank\fixedrankfactory_3factors.m	6035	2016-05-28
release\manopt\manopt\manifolds\fixedrank\fixedrankfactory_3factors_preconditioned.m	11730	2016-05-28
release\manopt\manopt\manifolds\fixedrank\fixedrankMNquotientfactory.m	4472	2016-05-28
release\manopt\manopt\manifolds\grassmann	0	2016-05-28
release\manopt\manopt\manifolds\grassmann\grassmannfactory.m	7449	2016-05-28
release\manopt\manopt\manifolds\oblique	0	2016-05-28
release\manopt\manopt\manifolds\oblique\obliquefactory.m	6609	2016-05-28
release\manopt\manopt\manifolds\rotations	0	2016-05-28
release\manopt\manopt\manifolds\rotations\randrot.m	1486	2016-05-28
release\manopt\manopt\manifolds\rotations\randskew.m	1276	2016-05-28
release\manopt\manopt\manifolds\rotations\rotationsfactory.m	4857	2016-05-28
release\manopt\manopt\manifolds\sphere	0	2016-05-28
release\manopt\manopt\manifolds\sphere\spherecomplexfactory.m	3285	2016-05-28
release\manopt\manopt\manifolds\sphere\spherefactory.m	3443	2016-05-28
release\manopt\manopt\manifolds\stiefel	0	2016-05-28
release\manopt\manopt\manifolds\stiefel\stiefelfactory.m	4559	2016-05-28
release\manopt\manopt\manifolds\symfixedrank	0	2016-05-28
release\manopt\manopt\manifolds\symfixedrank\elliptopefactory.m	6514	2016-05-28
release\manopt\manopt\manifolds\symfixedrank\spectrahedronfactory.m	3945	2016-05-28
release\manopt\manopt\manifolds\symfixedrank\symfixedrankYYfactory.m	3042	2016-05-28
release\manopt\manopt\manifolds\symfixedrank\sympositivedefinitefactory.m	4465	2016-05-28
release\manopt\manopt\privatetools	0	2016-05-28
release\manopt\manopt\privatetools\applyStatsfun.m	1142	2016-05-28
release\manopt\manopt\privatetools\canGetCost.m	573	2016-05-28
release\manopt\manopt\privatetools\canGetDirectionalDerivative.m	606	2016-05-28
release\manopt\manopt\privatetools\canGetEuclideanGradient.m	539	2016-05-28
release\manopt\manopt\privatetools\canGetGradient.m	634	2016-05-28
release\manopt\manopt\privatetools\canGetHessian.m	629	2016-05-28
release\manopt\manopt\privatetools\canGetPrecon.m	768	2016-05-28
release\manopt\manopt\privatetools\getApproxHessian.m	1878	2016-05-28
release\manopt\manopt\privatetools\getCost.m	2617	2016-05-28
release\manopt\manopt\privatetools\getCostGrad.m	1796	2016-05-28

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