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    Book and Conference Proceedings

    Scale Space and Variational Methods in Computer Vision

    Third International Conference, SSVM 2011, Ein-Gedi, Israel, May 29 – June 2, 2011, Revised Selected Papers

    Alfred M. Bruckstein in Lecture Notes in Computer Science (2012)

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    Chapter and Conference Paper

    Equi-affine Invariant Geometries of Articulated Objects

    We introduce an (equi-)affine invariant geometric structure by which surfaces that go through squeeze and shear transformations can still be properly analyzed. The definition of an affine invariant metric enab...

    Dan Raviv, Alexander M. Bronstein in Outdoor and Large-Scale Real-World Scene A… (2012)

  3. Chapter and Conference Paper

    Stable Spectral Mesh Filtering

    The rapid development of 3D acquisition technology has brought with itself the need to perform standard signal processing operations such as filters on 3D data. It has been shown that the eigenfunctions of the...

    Artiom Kovnatsky, Michael M. Bronstein in Computer Vision – ECCV 2012. Workshops and… (2012)

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    Chapter and Conference Paper

    A Correspondence-Less Approach to Matching of Deformable Shapes

    Finding a match between partially available deformable shapes is a challenging problem with numerous applications. The problem is usually approached by computing local descriptors on a pair of shapes and then ...

    Jonathan Pokrass, Alexander M. Bronstein in Scale Space and Variational Methods in Com… (2012)

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    Chapter and Conference Paper

    Photometric Heat Kernel Signatures

    In this paper, we explore the use of the diffusion geometry framework for the fusion of geometric and photometric information in local heat kernel signature shape descriptors. Our construction is based on the ...

    Artiom Kovnatsky, Michael M. Bronstein in Scale Space and Variational Methods in Com… (2012)

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    Chapter and Conference Paper

    Deformable Shape Retrieval by Learning Diffusion Kernels

    In classical signal processing, it is common to analyze and process signals in the frequency domain, by representing the signal in the Fourier basis, and filtering it by applying a transfer function on the Fou...

    Yonathan Aflalo, Alexander M. Bronstein in Scale Space and Variational Methods in Com… (2012)

  7. Chapter and Conference Paper

    Putting the Pieces Together: Regularized Multi-part Shape Matching

    Multi-part shape matching is an important class of problems, arising in many fields such as computational archaeology, biology, geometry processing, computer graphics and vision. In this paper, we address the ...

    Or Litany, Alexander M. Bronstein in Computer Vision – ECCV 2012. Workshops and… (2012)

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    Chapter and Conference Paper

    Shape Palindromes: Analysis of Intrinsic Symmetries in 2D Articulated Shapes

    Analysis of intrinsic symmetries of non-rigid and articulated shapes is an important problem in pattern recognition with numerous applications ranging from medicine to computational aesthetics. Considering art...

    Amit Hooda, Michael M. Bronstein in Scale Space and Variational Methods in Com… (2012)

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    Chapter and Conference Paper

    Discrete Minimum Distortion Correspondence Problems for Non-rigid Shape Matching

    Similarity and correspondence are two fundamental archetype problems in shape analysis, encountered in numerous application in computer vision and pattern recognition. Many methods for shape similarity and cor...

    Chaohui Wang, Michael M. Bronstein in Scale Space and Variational Methods in Com… (2012)

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    Chapter and Conference Paper

    Group-Valued Regularization Framework for Motion Segmentation of Dynamic Non-rigid Shapes

    Understanding of articulated shape motion plays an important role in many applications in the mechanical engineering, movie industry, graphics, and vision communities. In this paper, we study motion-based segm...

    Guy Rosman, Michael M. Bronstein in Scale Space and Variational Methods in Com… (2012)

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    Article

    A Gromov-Hausdorff Framework with Diffusion Geometry for Topologically-Robust Non-rigid Shape Matching

    In this paper, the problem of non-rigid shape recognition is studied from the perspective of metric geometry. In particular, we explore the applicability of diffusion distances within the Gromov-Hausdorff fram...

    Alexander M. Bronstein, Michael M. Bronstein in International Journal of Computer Vision (2010)

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    Article

    Nonlinear Dimensionality Reduction by Topologically Constrained Isometric Embedding

    Many manifold learning procedures try to embed a given feature data into a flat space of low dimensionality while preserving as much as possible the metric in the natural feature space. The embedding process u...

    Guy Rosman, Michael M. Bronstein in International Journal of Computer Vision (2010)

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    Article

    Full and Partial Symmetries of Non-rigid Shapes

    Symmetry and self-similarity are the cornerstone of Nature, exhibiting themselves through the shapes of natural creations and ubiquitous laws of physics. Since many natural objects are symmetric, the absence o...

    Dan Raviv, Alexander M. Bronstein in International Journal of Computer Vision (2010)

  14. Chapter and Conference Paper

    Spatially-Sensitive Affine-Invariant Image Descriptors

    Invariant image descriptors play an important role in many computer vision and pattern recognition problems such as image search and retrieval. A dominant paradigm today is that of “bags of features”, a repres...

    Alexander M. Bronstein, Michael M. Bronstein in Computer Vision – ECCV 2010 (2010)

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    Article

    Partial Similarity of Objects, or How to Compare a Centaur to a Horse

    Similarity is one of the most important abstract concepts in human perception of the world. In computer vision, numerous applications deal with comparing objects observed in a scene with some a priori known patte...

    Alexander M. Bronstein, Michael M. Bronstein in International Journal of Computer Vision (2009)

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    Article

    Topology-Invariant Similarity of Nonrigid Shapes

    This paper explores the problem of similarity criteria between nonrigid shapes. Broadly speaking, such criteria are divided into intrinsic and extrinsic, the first referring to the metric structure of the obje...

    Alexander M. Bronstein, Michael M. Bronstein in International Journal of Computer Vision (2009)

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    Article

    Analysis of Two-Dimensional Non-Rigid Shapes

    Analysis of deformable two-dimensional shapes is an important problem, encountered in numerous pattern recognition, computer vision and computer graphics applications. In this paper, we address three major pr...

    Alexander M. Bronstein, Michael M. Bronstein in International Journal of Computer Vision (2008)

  18. Chapter and Conference Paper

    Regularized Partial Matching of Rigid Shapes

    Matching of rigid shapes is an important problem in numerous applications across the boundary of computer vision, pattern recognition and computer graphics communities. A particularly challenging setting of th...

    Alexander M. Bronstein, Michael M. Bronstein in Computer Vision – ECCV 2008 (2008)

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    Chapter

    Story of Cinderella

    In this chapter, we address the question of what are the facial measures one could use in order to distinguish between people. Our starting point is the fact that the expressions of our face can, in most cases...

    Alexander M. Bronstein, Michael M. Bronstein in 3D Imaging for Safety and Security (2007)

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    Chapter and Conference Paper

    Paretian Similarity for Partial Comparison of Non-rigid Objects

    In this paper, we address the problem of partial comparison of non-rigid objects. We introduce a new class of set-valued distances, related to the concept of Pareto optimality in economics. Such distances allo...

    Alexander M. Bronstein, Michael M. Bronstein in Scale Space and Variational Methods in Com… (2007)

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