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An Image Processing Tour of College Mathematics

By: (Author) Yevgeniy V. Galperin

Werezi Extended Catalogue
Delivery in 34 days

Ksh 11,900.00

Format: Paperback / Softback

ISBN-10: 0367694484

ISBN-13: 9780367694487

Series: Chapman & Hall/CRC Mathematical and Computational Imaging Sciences Series

Publisher: Taylor & Francis Ltd

Imprint: Chapman & Hall/CRC

Country of Manufacture: GB

Country of Publication: GB

Publication Date: Aug 1st, 2022

Print length: 336 Pages

Weight: 536 grams

Dimensions (height x width x thickness): 15.50 x 23.30 x 2.80 cms

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  • Description

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This book aims to provide meaningful context for reviewing key topics of college mathematics curriculum. The topics covered include a library of elementary functions, basic concepts of descriptive statistics – all in the context of digital image processing.

An Image Processing Tour of College Mathematics aims to provide meaningful context for reviewing key topics of the college mathematics curriculum, to help students gain confidence in using concepts and techniques of applied mathematics, to increase student awareness of recent developments in mathematical sciences, and to help students prepare for graduate studies.

The topics covered include a library of elementary functions, basic concepts of descriptive statistics, probability distributions of functions of random variables, definitions and concepts behind first- and second-order derivatives,  most concepts and techniques of traditional linear algebra courses, an introduction to Fourier analysis, and a variety of discrete wavelet transforms – all of that in the context of digital image processing.

Features

  • Pre-calculus material and basic concepts of descriptive statistics are reviewed in the context of image processing in the spatial domain.
  • Key concepts of linear algebra are reviewed both in the context of fundamental operations with digital images and in the more advanced context of discrete wavelet transforms.
  • Some of the key concepts of probability theory are reviewed in the context of image equalization and histogram matching.
  • The convolution operation is introduced painlessly and naturally in the context of naïve filtering for denoising and is subsequently used for edge detection and image restoration.
  • An accessible elementary introduction to Fourier analysis is provided in the context of image restoration.
  • Discrete wavelet transforms are introduced in the context of image compression, and the readers become more aware of some of the recent developments in applied mathematics.
  • This text helps students of mathematics ease their way into mastering the basics of scientific computer programming. 

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