Buy An Image Processing Tour of College Mathematics by Yevgeniy V. Galperin
close menu
Bookswagon
search
My Account
Home > Mathematics > An Image Processing Tour of College Mathematics: (Chapman & Hall/CRC Mathematical and Computational Imaging Sciences Series)
An Image Processing Tour of College Mathematics: (Chapman & Hall/CRC Mathematical and Computational Imaging Sciences Series)

An Image Processing Tour of College Mathematics: (Chapman & Hall/CRC Mathematical and Computational Imaging Sciences Series)


     0     
5
4
3
2
1



Out of Stock


Notify me when this book is in stock
X
About the Book

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.


Table of Contents:

1. Introduction to The Basics of Digital Images. 1.1. Grayscale Digital Images. 1.2. Working with Images in MATLAB. 1.3. Images and Statistical Description of Quantitative Data. 1.4. Color Images and Color Spaces. 2. A Library of Elementary Functions. 2.1. Introduction. 2.2. Power Functions and Gamma-Correction. 2.3. Exponential Functions and Image Transformations. 2.4. Logarithmic Functions and Image Transformations. 2.5. Linear Functions and Contrast Stretching. 2.6. Automation of Image Enhancement. 3. Probability, Random Variables, and Histogram Processing. 3.1. Introduction. 3.2. Discrete and Continuous Random Variables. 3.3. Transformation of Random Variables. 3.4. Image Equalization and Histogram Matching. 4. Matrices and Linear Transformations. 4.1. Basic Operations on Matrices. 4.2. Linear Transformations and their Matrices. 4.3. Homogeneous Coordinates and Projective Transformations. 5. Convolution and Image Filtering. 5.1. Image Blurring and Noise Reduction. 5.2. Convolution: Definitions and Examples. 5.3. Edge Detection. 5.4. Chapter Summary. 6. Analysis and Processing in the Frequency Domain. 6.1. Introduction. 6.2. Frequency Analysis of Continuous Periodic Signals. 6.3. Inner Products, Orthogonal Bases, and Fourier Coefficients. 6.4. Discrete Fourier Transform. 6.5 Discrete Fourier Transform in 2D. 6.6. Chapter Summary. 7. Wavelet-Based Methods in Image Compression. 7.1 Introduction. 7.2 Naive Compression in One Dimension. 7.3. Entropy and Entropy Encoding. 7.4. The Discrete Haar Wavelet Transform. 7.5. Haar Wavelet Transforms of Digital Images. 7.6. Discrete-Time Fourier Transform. 7.7. From the Haar Transform to Daubechies Transforms. 7.8. Biorthogonal Wavelet Transforms. 7.9. An Overview of JPEG2000. 7.10. Other Applications of Wavelet Transforms.



About the Author :

Yevgeniy V. Galperin is Associate Professor of Mathematics at East Stroudsburg University of Pennsylvania. He holds a PhD in mathematics and has published several papers in the field of time-frequency analysis and related areas of Fourier analysis. His research and academic interests also include numerical methods, simulation of stochastic processes for real-life applications, and mathematical pedagogy. He has given numerous conference presentations on instructional and course-design approaches directed at increasing student motivation and awareness of societal value of mathematics and on incorporating signal and image processing into the undergraduate mathematics curriculum.



Review :

"Each chapter includes a mixture of theoretical exercises and computational exercises to be done using MATLAB. [. . .] This textbook should be of interest to instructors who want to teach an introductory course on the mathematics Fourier and wavelet transform methods for image processing at the advanced undergraduate level."
– Mathematical Association of America


Best Sellers


Product Details
  • ISBN-13: 9780429683213
  • Publisher: Taylor & Francis Ltd
  • Publisher Imprint: Chapman & Hall/CRC
  • Language: English
  • ISBN-10: 0429683219
  • Publisher Date: 10 Feb 2021
  • Binding: Digital (delivered electronically)
  • Series Title: Chapman & Hall/CRC Mathematical and Computational Imaging Sciences Series


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
An Image Processing Tour of College Mathematics: (Chapman & Hall/CRC Mathematical and Computational Imaging Sciences Series)
Taylor & Francis Ltd -
An Image Processing Tour of College Mathematics: (Chapman & Hall/CRC Mathematical and Computational Imaging Sciences Series)
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

An Image Processing Tour of College Mathematics: (Chapman & Hall/CRC Mathematical and Computational Imaging Sciences Series)

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    Fresh on the Shelf


    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!
    Your IP: 216.73.216.193 IN