Computer Vision -- ECCV 2010
Computer Vision -- ECCV 2010: 11th European Conference on ...
https://books.google.com/books?isbn=3642155669
Kostas Daniilidis, Petros Maragos, Nikos Paragios - 2010 - Computers
Different types of domain knowledge, in terms of first order probabilistic logics (Computer Vision -- ECCV 2010: 11th European Conference on ...
https://books.google.com/books?isbn=3642155677
Kostas Daniilidis, Petros Maragos, Nikos Paragios - 2010 - Computers
The vector space structure of Tμ M allows us to use standard statistical tools ... mean μ because the tangent space Tμ M provides a first order approximation of ...[PDF]Manifold Valued Statistics, Exact Principal Geodesic ...
image.diku.dk/.../sommeretal10....
UCPH Department of Computer Science
by S Sommer - Cited by 42 - Related articles
The manifold generalization of linear PCA, PGA, was first introduced in. [22], but it was .... the intrinsic mean µ because the tangent space TµM provides a first order ap- ..... In: Computer Vision - ECCV 2010, Heraklion, Greece (2010). 11.Manifold Valued Statistics, Exact Principal Geodesic ...
https://www.researchgate.net/.../221303741_Manifold_Valued...
DOI: 10.1007/978-3-642-15567-3_4 Conference: Computer Vision - ECCV 2010 - 11th ... We give examples of datasets for which the linearized version provides good ... T p S − 2 with sampled points and first principal components · Fig. ...... to experimentally assess the effect of tangent space linearization, and we show that
ResearchGate
[PDF]Representation, Segmentation and Matching of ... - Tel - Hal
https://tel.archives-ouvertes.fr/tel-00768768/document
by A Sharma - 2012 - Related articles
Dec 23, 2012 - We first introduce the mathematical background on differential ... Transfer, European Conference on Computer Vision (ECCV), 2010, ..... and providesthe desired segmentation of input shape. ..... Figure 2.2: Depiction of tangent space of a 2D manifold surface ... local first order Taylor approximation as:.[PDF]Articulated Motion Estimation from a Monocular Image ...
www.cis.upenn.edu/~kostas/.../spyros16icra.p...
Abstract—We propose a second order stochastic dynamical model for generic ... (
University of Pennsylvania
[PDF]A Study Of Statistical Methods For Facial Shape-from-shading
www.doc.ic.ac.uk/teaching/distinguished-projects/2012/p.snape.pdf
Jun 18, 2012 - First and foremost, I would like to thank Stefanos Zafeiriou for supervising my project. .... ysis (PCA) require a Euclidean space in order to be calculated. ..... provide an implementation of statistical shape-from-shading as proposed by ... In order to construct the AEP we begin by constructing the tangent.LNCS 6316 - Computer Vision – ECCV 2010 - Springer
link.springer.com/.../10.1007%2F978-3-6...
Sep 5, 2010 - (1) This is the first constraint propagation approach that clearly shows ...... mean μ because the tangent space TμM provides a first order ap-.
Springer Science+Business Media
[PDF]Using Vanishing Points to Improve Visual-Inertial Odometry
https://www.inf.ethz.ch/personal/.../CamposecoICRA15.pdf
ETH Zurich
by F Camposeco - Related articles
First, an efficient inertial-based method is presented that accurately and efficiently ... inorder to ensure the real-time execution of the estimator in order to ... VP detectionprovides to the system line segments as a ..... We use a tangent space to the unit ..... known orientation angles,” in Computer Vision–ECCV 2010, pp. 269–.[PDF]arXiv:1502.04754v3 [cs.CV] 20 Jul 2015
arxiv.org/pdf/1502.04754
arXiv
by C Rubino - 2015 - Related articles
show that an efficient solution exists in the dual-space using a minimum of three ... of the authors knowledge, this work is the first to provide such solution in 3D ... In orderto ease the mathematical ... by the envelope of all the planes tangent to the quadric surface. ...... Computer Vision–ECCV 2010, pages 553–567. Springer[PDF]A Sparse Multi-Scale Algorithm for Dense Optimal Transport
arxiv.org/pdf/1510.05466
arXiv
by B Schmitzer - 2015 - Related articles
Oct 20, 2015 - tinuous optimal transport we provide a framework to verify global optimality of a discrete .... thresholding [21], tangent space approximation [29] and entropic ...... Note that ∇ys F(xA,ys)|ys=t(xA) = 0 so the first order ...... In European Conference on Computer Vision (ECCV 2010), pages 771–784, 2010.4.3 Human Poses In this experiment, we consider human poses obtained using tracking software. A consumer stereo camera4 is placed in front of a test person, and the tracking software described in [10] is invoked in order to track the pose of the persons upper body. The recorded poses are represented by the human body end-effectors; the end-points of each bone of the skeleton. The placement of each end-effector is given spatial coordinates so that an entire pose with k end-effectors can be considered a point in R 3k . To simplify the representation, only the end-effectors of a subset of the skeleton are included, and, when two bones meet at a joint, their end-points are considered one end-effector. Figure 5 shows a human pose with 11 end-effectors marked by thick dots. −1 −1.5 0 −0.5 1 0.5 2 1.5 2.5 −0.5 0 0.5 0 0.5 1 1.5 2 2.5 Fig. 5. Camera output superimposed with tracking result (left) and a tracked pose with 11 end-effectors marked by thick dots (right). The fact that bones do not change length in short time spans gives rise to a constraint for each bone; the distance between the pair of end-effectors must be constant. We incorporate this into a pose model with b bones by restricting the allowed poses to the preimage F −1 (0) of the map F : R 3k → R b given by F i (x) = kei1 − ei2 k 2 − l 2 i , (12) where ei1 and ei2 denote the spatial coordinates of the end-effectors and li the constant length of the ith bone. In this way, the set of allowed poses constitute a 3k − b-dimensional implicitly represented manifold. We record 26 poses using the tracking setup, and, amongst those, we make 20 random choices of 8 poses and perform linearized PGA and exact PGA. For each experiment, τSvˆ , ˜τSvˆ , ρ, and σ are computed and plotted in Figure 6. The
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