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    Chapter and Conference Paper

    Sparse Models for Intrinsic Shape Correspondence

    We present a novel sparse modeling approach to non-rigid shape matching using only the ability to detect repeatable regions. As the input to our algorithm, we are given only two sets of regions in two shapes; ...

    Jonathan Pokrass, Alexander M. Bronstein in Perspectives in Shape Analysis (2016)

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    Reference Work Entry In depth

    Manifold Intrinsic Similarity

    Nonrigid shapes are ubiquitous in nature and are encountered at all levels of life, from macro to nano. The need to model such shapes and understand their behavior arises in many applications in imaging scienc...

    Alexander M. Bronstein, Michael M. Bronstein in Handbook of Mathematical Methods in Imaging (2015)

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    Chapter

    Group-Valued Regularization for Motion Segmentation of Articulated Shapes

    Motion-based segmentation is an important tool for the analysis of articulated shapes. As such, it plays an important role in mechanical engineering, computer graphics, and computer vision. In this chapter, we...

    Guy Rosman, Michael M. Bronstein, Alexander M. Bronstein in Innovations for Shape Analysis (2013)

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    Chapter

    Stable Semi-local Features for Non-rigid Shapes

    Feature-based analysis is becoming a very popular approach for geometric shape analysis. Following the success of this approach in image analysis, there is a growing interest in finding analogous methods in th...

    Roee Litman, Alexander M. Bronstein, Michael M. Bronstein in Innovations for Shape Analysis (2013)

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    Reference Work Entry In depth

    Manifold Intrinsic Similarity

    Non-rigid shapes are ubiquitous in Nature and are encountered at all levels of life, from macro to nano. The need to model such shapes and understand their behavior arises in many applications in imaging scien...

    Alexander M. Bronstein, Michael M. Bronstein in Handbook of Mathematical Methods in Imaging (2011)

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    Chapter and Conference Paper

    QML Blind Deconvolution: Asymptotic Analysis

    Blind deconvolution is considered as a problem of quasi maximum likelihood (QML) estimation of the restoration kernel. Simple closed-form expressions for the asymptotic estimation error are derived. The asympt...

    Alexander M. Bronstein, Michael M. Bronstein in Independent Component Analysis and Blind S… (2004)

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    Chapter and Conference Paper

    Blind Deconvolution Using the Relative Newton Method

    We propose a relative optimization framework for quasi maximum likelihood blind deconvolution and the relative Newton method as its particular instance. Special Hessian structure allows its fast approximate co...

    Alexander M. Bronstein, Michael M. Bronstein in Independent Component Analysis and Blind S… (2004)

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    Chapter and Conference Paper

    Blind Source Separation Using the Block-Coordinate Relative Newton Method

    Presented here is a generalization of the modified relative Newton method, recently proposed in [1] for quasi-maximum likelihood blind source separation. Special structure of the Hessian matrix allows to perfo...

    Alexander M. Bronstein, Michael M. Bronstein in Independent Component Analysis and Blind S… (2004)

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    Chapter and Conference Paper

    Optimal Sparse Representations for Blind Deconvolution of Images

    The relative Newton algorithm, previously proposed for quasi maximum likelihood blind source separation and blind deconvolution of one-dimensional signals is generalized for blind deconvolution of images. Smoo...

    Alexander M. Bronstein, Michael M. Bronstein in Independent Component Analysis and Blind S… (2004)