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Optimization Techniques in Computer Vision - Ill-Posed Problems and Regularization (Paperback, Softcover reprint of the original 1st ed. 2016)
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Optimization Techniques in Computer Vision - Ill-Posed Problems and Regularization (Paperback, Softcover reprint of the original 1st ed. 2016)
Series: Advances in Computer Vision and Pattern Recognition
Expected to ship within 10 - 15 working days
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This book presents practical optimization techniques used in image
processing and computer vision problems. Ill-posed problems are
introduced and used as examples to show how each type of problem is
related to typical image processing and computer vision problems.
Unconstrained optimization gives the best solution based on
numerical minimization of a single, scalar-valued objective
function or cost function. Unconstrained optimization problems have
been intensively studied, and many algorithms and tools have been
developed to solve them. Most practical optimization problems,
however, arise with a set of constraints. Typical examples of
constraints include: (i) pre-specified pixel intensity range, (ii)
smoothness or correlation with neighboring information, (iii)
existence on a certain contour of lines or curves, and (iv) given
statistical or spectral characteristics of the solution.
Regularized optimization is a special method used to solve a class
of constrained optimization problems. The term regularization
refers to the transformation of an objective function with
constraints into a different objective function, automatically
reflecting constraints in the unconstrained minimization process.
Because of its simplicity and efficiency, regularized optimization
has many application areas, such as image restoration, image
reconstruction, optical flow estimation, etc. Optimization plays a
major role in a wide variety of theories for image processing and
computer vision. Various optimization techniques are used at
different levels for these problems, and this volume summarizes and
explains these techniques as applied to image processing and
computer vision.
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