SIAM Review
Shape Matching and Object Recognition Using Shape Contexts
IEEE Transactions on Pattern Analysis and Machine Intelligence
Complete Dense Stereovision Using Level Set Methods
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume I - Volume I
Spherical Matching for Temporal Correspondence of Non-Rigid Surfaces
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
Algorithms
Multi-View Stereo Reconstruction and Scene Flow Estimation with a Global Image-Based Matching Score
International Journal of Computer Vision
Efficient Computation of Isometry-Invariant Distances Between Surfaces
SIAM Journal on Scientific Computing
Surface Capture for Performance-Based Animation
IEEE Computer Graphics and Applications
Global non-rigid alignment of 3-D scans
ACM SIGGRAPH 2007 papers
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Temporal Surface Tracking Using Mesh Evolution
ECCV '08 Proceedings of the 10th European Conference on Computer Vision: Part II
International Journal of Computer Vision
On bending invariant signatures for surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Geodesic Methods in Computer Vision and Graphics
Foundations and Trends® in Computer Graphics and Vision
Hierarchical matching of non-rigid shapes
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
SMI 2012: Short Stable volumetric features in deformable shapes
Computers and Graphics
PHOG: photometric and geometric functions for textured shape retrieval
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
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In this paper, we tackle the problem of finding correspondences between three-dimensional reconstructions of a deformable surface at different time steps We suppose that (i) the mechanical underlying model imposes time-constant geodesic distances between points on the surface; and that (ii) images of the real surface are available This is for instance the case in spatio-temporal shape from videos (e.g multi-view stereo, visual hulls, etc.) when the surface is supposed approximatively unstretchable These assumptions allow to exploit both geometry and photometry In particular we propose an energy based formulation of the problem, extending the work of Bronstein et al. [1] On the one hand, we show that photometry (i) improves accuracy in case of locally elastic deformations or noisy surfaces and (ii) allows to still find the right solution when [1] fails because of ambiguities (e.g symmetries) On the other hand, using geometry makes it possible to match shapes that have undergone large motion, which is not possible with usual photometric methods Numerical experiments prove the efficiency of our method on synthetic and real data.