Convex Relaxation with Log-Determinant Divergence-L1 Regularization for 3D Shape Reconstruction

Investigated is the problem of estimating the 3D shape of an object defined by a set of 3D landmarks with their 2D correspondences in a single image. To solve this problem, we use a dictionary of the basic shape with LDD-LI regularization, which is the construction of the shape space model. Based on the proposed convex optimization method, 3D human pose reconstruction by shape space model and 3D variable shape model was carried out on the mocap database. To improve accuracy and reduce the number of iterations, we use PSO algorithm to optimize initial value of the key parameter. The experimental results show that the improved algorithm exhibits less iterations but higher accuracy, which can be much helpful in practical applications.

[1]  Xiaowei Zhou,et al.  Sparse Representation for 3D Shape Estimation: A Convex Relaxation Approach , 2015, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[2]  Bamdev Mishra,et al.  Manopt, a matlab toolbox for optimization on manifolds , 2013, J. Mach. Learn. Res..

[3]  Youjie Zhou,et al.  Pose Locality Constrained Representation for 3D Human Pose Reconstruction , 2014, ECCV.

[4]  Andrew W. Fitzgibbon,et al.  What Shape Are Dolphins? Building 3D Morphable Models from 2D Images , 2013, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[5]  T. Kanade,et al.  Reconstructing 3D Human Pose from 2D Image Landmarks , 2012, ECCV.

[6]  Xiaowei Zhou,et al.  3D Shape Reconstruction from 2D Landmarks: A Convex Formulation , 2014, ArXiv.

[7]  Alexei A. Efros,et al.  Seeing 3D Chairs: Exemplar Part-Based 2D-3D Alignment Using a Large Dataset of CAD Models , 2014, 2014 IEEE Conference on Computer Vision and Pattern Recognition.

[8]  Mao-Jiun J. Wang,et al.  Constructing 3D human model from front and side images , 2012, Expert Syst. Appl..

[9]  Guillermo Sapiro,et al.  Online Learning for Matrix Factorization and Sparse Coding , 2009, J. Mach. Learn. Res..

[10]  Pengtao Xie,et al.  Nonoverlap-Promoting Variable Selection , 2018, ICML.

[11]  Inderjit S. Dhillon,et al.  Low-Rank Kernel Learning with Bregman Matrix Divergences , 2009, J. Mach. Learn. Res..

[12]  Timothy F. Cootes,et al.  Active Shape Models-Their Training and Application , 1995, Comput. Vis. Image Underst..

[13]  Bernt Schiele,et al.  Detailed 3D Representations for Object Recognition and Modeling , 2013, IEEE Transactions on Pattern Analysis and Machine Intelligence.