Excerpt from Deblurring Gaussian Blur
O'a' stably among original functions f(x) that are well approximated by polynomials of fixed degree. These kernels will provide exact reconstructions of (sufficiently low order) polynomial original data. The existence and use of these kernels has been presented elsewhere [john]; our analysis is new only in that we emphasize the use of Hermite polynomials, and give explicit formulas in terms of Hermite polynomials.
The problem of reconstructing f(x) given h(x) and t is the inverse heat equation problem, since the function h(x) represents a distribution of heat after t units of time, where f(x) is the initial t 0 distribution. Solving the heat equation backwards in time is an interesting inverse problem with applications in image enhancement, signal and image representation, and perhaps even modeling of neural processes for analyzing data.
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Paperback. Zustand: New. Print on Demand. This book delves into the mathematical principles behind image deblurring, specifically focusing on Gaussian blur. The author approaches the subject from the perspective of polynomial approximation, demonstrating how to reconstruct blurred data by representing it as a polynomial of a certain degree. The book explores the theoretical underpinnings of this approach and provides explicit formulas for deblurring kernels. By presenting a detailed analysis of the deblurring process within a polynomial framework, this book offers valuable insights into image enhancement techniques and their applications in signal processing and image restoration. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781333586201_0
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781333586201
Anbieter: PBShop.store UK, Fairford, GLOS, Vereinigtes Königreich
PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781333586201
Anzahl: 15 verfügbar