Springer Multiscale Transforms with Application to Image Processing (Signals and Communication Technology)

This book provides an introduction to image processing, an overview of the transforms which are most widely used in the field of image processing, and an introduction to the application of multiscale transforms in image processing.   The book is divided into three parts, with the first part offering the reader a basic introduction to image processing. The second part of the book starts with a chapter on Fourier analysis and Fourier transforms, wavelet analysis, and ends with a chapter on new multiscale transforms. The final part of the book deals with all of the most important applications of multiscale transforms in image processing.  The chapters consist of both tutorial and highly advanced material, and as such the book is intended to be a reference text for graduate students and researchers to obtain state-of-the-art knowledge on specific applications. The technique of solving problems in the transform domain is common in applied mathematics and widely used in research and industry, but is a somewhat neglected subject within the undergraduate curriculum. It is hoped that faculty can use this book to create a course that can be offered early in the curriculum and fill this void. Also, the book is intended to be used as a reference manual for scientists who are engaged in image processing research, developers of image processing hardware and software systems, and practising engineers and scientists who use image processing as a tool in their applications. From the Back Cover This book provides an introduction to image processing, an overview of the transforms which are most widely used in the field of image processing, and an introduction to the application of multiscale transforms in image processing.   The book is divided into three parts, with the first part offering the reader a basic introduction to image processing. The second part of the book starts with a chapter on Fourier analysis and Fourier transforms, wavelet analysis, and ends with a chapter on new multiscale transforms. The final part of the book deals with all of the most important applications of multiscale transforms in image processing.  The chapters consist of both tutorial and highly advanced material, and as such the book is intended to be a reference text for graduate students and researchers to obtain state-of-the-art knowledge on specific applications. The technique of solving problems in the transform domain is common in applied mathematics and widely used in research and industry, but is a somewhat neglected subject within the undergraduate curriculum. It is hoped that faculty can use this book to create a course that can be offered early in the curriculum and fill this void. Also, the book is intended to be used as a reference manual for scientists who are engaged in image processing research, developers of image processing hardware and software systems, and practising engineers and scientists who use image processing as a tool in their applications. About the Author Aparna Vyas was born in Allahabad, India in 1983. She received B.Sc. degree in Science and M.Sc. degree in Mathematics from the University of Allahabad, Allahabad, India in 2004 and 2006, respectively. She received a Ph.D. degree in Mathematics from the University of Allahabad, Allahabad, India in 2010. She was an Assistant Professor, Department of Mathematics, School of Basic Sciences, SHIATS, Deemed University, Allahabad, India, since 2006 to 2013. In 2014, She joined Manav Rachna University, Faridabad, India as an Assistant Professor. She was a Post-Doctoral Fellow at Soongsil University from August 2016 to September 2016. Currently, She is a post-doctoral Fellow in Chung-Ang University under BK21 Plus project. She has more than 10 years of teaching and research experience. She is also a life member of the Indian Mathematical Society and Ramanujan Mathematical Society. Her research interests includes Wavelet Analysis and Image Processing. Soohwan Y