Titlebook: Linear Algebra for Pattern Processing; Projection, Singular Kenichi Kanatani Book 2021 Springer Nature Switzerland AG 2021

Delirium

Linear Algebra for Pattern Processing978-3-031-02544-0Series ISSN 1932-1236 Series E-ISSN 1932-1694

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Introduction,In this book, we introduce basic mathematical concepts of linear algebra that underlie pattern information processing in high dimensions and discuss some applications to 3D analysis of multiple images. The organization of this book is as follows.

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Eigenvalues and Spectral Decomposition,ctral decomposition” of a symmetric matrix. It allows us to convert a symmetric matrix into a diagonal matrix by multiplying it by an “orthogonal matrix” from left and right. This process is called “diagonalization” of a symmetric matrix. We can also express the inverse and powers of a symmetric matrix in terms of its spectral decomposition.

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Matrix Factorization,A .. We discuss its relationship to the matrix rank and the singular value decomposition. As a typical application, we describe a technique, called the “factorization method,” for reconstructing the 3D structure of the scene from images captured by multiple cameras.

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Synthesis Lectures on Signal Processinghttp://image.papertrans.cn/l/image/586279.jpg

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1932-1236 but also lead us to find what kind of processing is appropriate for what kind of goals.First, we take up the concept of "projection" of linear spaces and descri978-3-031-01416-1978-3-031-02544-0Series ISSN 1932-1236 Series E-ISSN 1932-1694

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