Curve and surface fitting with splines
Curve and surface fitting with splines
Modern Differential Geometry of Curves and Surfaces with Mathematica
Modern Differential Geometry of Curves and Surfaces with Mathematica
Convex Optimization
A Direct Method for 3D Factorization of Nonrigid Motion Observed in 2D
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 2 - Volume 02
A Closed-Form Solution to Non-Rigid Shape and Motion Recovery
International Journal of Computer Vision
Single View Reconstruction of Curved Surfaces
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 2
Implicit Non-Rigid Structure-from-Motion with Priors
Journal of Mathematical Imaging and Vision
Nonrigid Structure-from-Motion: Estimating Shape and Motion with Hierarchical Priors
IEEE Transactions on Pattern Analysis and Machine Intelligence
Direct Estimation of Nonrigid Registrations with Image-Based Self-Occlusion Reasoning
IEEE Transactions on Pattern Analysis and Machine Intelligence
Monocular 3-D tracking of inextensible deformable surfaces under L2-norm
IEEE Transactions on Image Processing
Monocular Template-based Reconstruction of Inextensible Surfaces
International Journal of Computer Vision
Monocular template-based tracking of inextensible deformable surfaces under L2-norm
ACCV'09 Proceedings of the 9th Asian conference on Computer Vision - Volume Part II
Template-Based conformal shape-from-motion-and-shading for laparoscopy
IPCAI'12 Proceedings of the Third international conference on Information Processing in Computer-Assisted Interventions
Optimal templates for nonrigid surface reconstruction
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part I
Laplacian meshes for monocular 3d shape recovery
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part III
Soft inextensibility constraints for template-free non-rigid reconstruction
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part III
Beyond feature points: structured prediction for monocular non-rigid 3d reconstruction
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part IV
Reconstruction of 3d surface and restoration of flat document image from monocular image sequence
ACCV'12 Proceedings of the 11th Asian conference on Computer Vision - Volume Part IV
A Simple Prior-Free Method for Non-rigid Structure-from-Motion Factorization
International Journal of Computer Vision
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We present different approaches to reconstructing an inextensible surface from point correspondences between an input image and a template image representing a flat reference shape from a frontoparallel point of view. We first propose a 'point-wise' method, i.e. a method that only retrieves the 3D positions of the point correspondences. This method is formulated as a second-order cone program and it handles inaccuracies in the point measurements. It relies on the fact that the Euclidean distance between two 3D points must be shorter than their geodesic distance (which can easily be computed from the template image). We then present an approach that reconstructs a smooth 3D surface based on Free-Form Deformations. The surface is represented as a smooth map from the template image space to the 3D space. Our idea is to say that the 2D-3D map must be everywhere a local isometry. This induces conditions on the Jacobian matrix of the map which are included in a least-squares minimization problem.