Ebook105 pages2 hours
Discovering Wavelets
By Edward Aboufadel and Steven Schlicker
Rating: 0 out of 5 stars
()
About this ebook
An accessible and practical introduction to wavelets
With applications in image processing, audio restoration, seismology, and elsewhere, wavelets have been the subject of growing excitement and interest over the past several years. Unfortunately, most books on wavelets are accessible primarily to research mathematicians. Discovering Wavelets presents basic and advanced concepts of wavelets in a way that is accessible to anyone with only a fundamental knowledge of linear algebra.
The basic concepts of wavelet theory are introduced in the context of an explanation of how the FBI uses wavelets to compress fingerprint images. Wavelet theory is further developed in the setting of function spaces. The book then moves on to present more advanced topics such as filters, multiresolution analysis, Daubechies' wavelets, and further applications. The book concludes with a series of projects and problems that introduce advanced topics and offer starting points for research. Sample projects that demonstrate real wavelet applications include image compression, a wavelet-based search engine, processing with Daubechies' wavelets, and more.
Among the special features of Discovering Wavelets are:
* Real-life, hands-on examples that involve actual wavelet applications
* A companion Web site containing Pixel Images software and Maple files to be used with the projects in the book
* Challenging problems that reinforce and expand on the ideas being developed
* An appendix containing the linear algebra needed to understand wavelets as presented in the book
With applications in image processing, audio restoration, seismology, and elsewhere, wavelets have been the subject of growing excitement and interest over the past several years. Unfortunately, most books on wavelets are accessible primarily to research mathematicians. Discovering Wavelets presents basic and advanced concepts of wavelets in a way that is accessible to anyone with only a fundamental knowledge of linear algebra.
The basic concepts of wavelet theory are introduced in the context of an explanation of how the FBI uses wavelets to compress fingerprint images. Wavelet theory is further developed in the setting of function spaces. The book then moves on to present more advanced topics such as filters, multiresolution analysis, Daubechies' wavelets, and further applications. The book concludes with a series of projects and problems that introduce advanced topics and offer starting points for research. Sample projects that demonstrate real wavelet applications include image compression, a wavelet-based search engine, processing with Daubechies' wavelets, and more.
Among the special features of Discovering Wavelets are:
* Real-life, hands-on examples that involve actual wavelet applications
* A companion Web site containing Pixel Images software and Maple files to be used with the projects in the book
* Challenging problems that reinforce and expand on the ideas being developed
* An appendix containing the linear algebra needed to understand wavelets as presented in the book
Related to Discovering Wavelets
Related ebooks
The Calabi–Yau Landscape: From Geometry, to Physics, to Machine Learning Rating: 0 out of 5 stars0 ratingsCalculus Rating: 4 out of 5 stars4/5Complex Variables for Scientists and Engineers: Second Edition Rating: 5 out of 5 stars5/5I: Functional Analysis Rating: 4 out of 5 stars4/5Statistical Theory and Modeling for Turbulent Flows Rating: 0 out of 5 stars0 ratingsReal Analysis with an Introduction to Wavelets and Applications Rating: 5 out of 5 stars5/5Analysis in Euclidean Space Rating: 0 out of 5 stars0 ratingsIntroduction to Abstract Algebra Rating: 3 out of 5 stars3/5Differential Forms with Applications to the Physical Sciences Rating: 5 out of 5 stars5/5Two-Dimensional Calculus Rating: 5 out of 5 stars5/5Tensor Analysis on Manifolds Rating: 4 out of 5 stars4/5A Geometric Algebra Invitation to Space-Time Physics, Robotics and Molecular Geometry Rating: 0 out of 5 stars0 ratingsSignal Processing in Electronic Communications: For Engineers and Mathematicians Rating: 0 out of 5 stars0 ratingsNetwork Flow, Transportation, and Scheduling; Theory and Algorithms Rating: 0 out of 5 stars0 ratingsElasticity: Theory, Applications, and Numerics Rating: 0 out of 5 stars0 ratingsA Source Book in Mathematics Rating: 5 out of 5 stars5/5Everyday Applied Geophysics 2: Magnetics and Electromagnetism Rating: 0 out of 5 stars0 ratingsComputational Modeling for Fluid Flow and Interfacial Transport Rating: 0 out of 5 stars0 ratingsIntegral and Finite Difference Inequalities and Applications Rating: 0 out of 5 stars0 ratingsElementary Linear Programming with Applications Rating: 4 out of 5 stars4/5Fourier Analysis and Boundary Value Problems Rating: 2 out of 5 stars2/5Challenges and Strategies in Teaching Linear Algebra Rating: 0 out of 5 stars0 ratingsGroup Theory and Its Applications Rating: 0 out of 5 stars0 ratingsMechanical Engineering Systems Rating: 4 out of 5 stars4/5Matrices and Linear Transformations: Second Edition Rating: 3 out of 5 stars3/5Vector Analysis Rating: 4 out of 5 stars4/5Gauge Field Theories: An Introduction with Applications Rating: 0 out of 5 stars0 ratingsA Modern Introduction to Differential Equations Rating: 0 out of 5 stars0 ratingsBuilding Professionals Facing the Energy Efficiency Challenge Rating: 0 out of 5 stars0 ratingsApplied Multivariate Analysis: Using Bayesian and Frequentist Methods of Inference, Second Edition Rating: 0 out of 5 stars0 ratings
Mathematics For You
Quantum Physics for Beginners Rating: 4 out of 5 stars4/5Calculus For Dummies Rating: 4 out of 5 stars4/5Basic Math & Pre-Algebra For Dummies Rating: 4 out of 5 stars4/5Algebra - The Very Basics Rating: 5 out of 5 stars5/5Algebra I Workbook For Dummies Rating: 3 out of 5 stars3/5Basic Math Notes Rating: 5 out of 5 stars5/5Geometry For Dummies Rating: 5 out of 5 stars5/5The Everything Guide to Algebra: A Step-by-Step Guide to the Basics of Algebra - in Plain English! Rating: 4 out of 5 stars4/5Mental Math Secrets - How To Be a Human Calculator Rating: 5 out of 5 stars5/5My Best Mathematical and Logic Puzzles Rating: 5 out of 5 stars5/5Game Theory: A Simple Introduction Rating: 4 out of 5 stars4/5Introducing Game Theory: A Graphic Guide Rating: 4 out of 5 stars4/5The Elements of Euclid for the Use of Schools and Colleges (Illustrated) Rating: 0 out of 5 stars0 ratingsThe Everything Everyday Math Book: From Tipping to Taxes, All the Real-World, Everyday Math Skills You Need Rating: 5 out of 5 stars5/5The Little Book of Mathematical Principles, Theories & Things Rating: 3 out of 5 stars3/5See Ya Later Calculator: Simple Math Tricks You Can Do in Your Head Rating: 4 out of 5 stars4/5Relativity: The special and the general theory Rating: 5 out of 5 stars5/5The Golden Ratio: The Divine Beauty of Mathematics Rating: 5 out of 5 stars5/5Calculus Made Easy Rating: 4 out of 5 stars4/5The Math of Life and Death: 7 Mathematical Principles That Shape Our Lives Rating: 4 out of 5 stars4/5A Mind for Numbers | Summary Rating: 4 out of 5 stars4/5ACT Math & Science Prep: Includes 500+ Practice Questions Rating: 3 out of 5 stars3/5GED® Math Test Tutor, 2nd Edition Rating: 0 out of 5 stars0 ratingsIs God a Mathematician? Rating: 4 out of 5 stars4/5Real Estate by the Numbers: A Complete Reference Guide to Deal Analysis Rating: 0 out of 5 stars0 ratings
Reviews for Discovering Wavelets
Rating: 0 out of 5 stars
0 ratings
0 ratings0 reviews
Book preview
Discovering Wavelets - Edward Aboufadel
Enjoying the preview?
Page 1 of 1