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 Yu was born in Incheon, Korea, in 1988. He received the B.S. degree in information and communication engineering from Suwon University, Korea, in 2013. He received the M.S degree in image engineering from Chung-Ang University, Korea, in 2016, where he is currently pursuing the Ph.D. degree in image engineering. His research interests include image enhancement, super-resolution, and image restoration.Joonki Paik was born in Seoul, Korea in 1960. He received a B.S. degree in control and instrumentation engineering from Seoul National University in 1984. He received an M.S. and a Ph.D. degrees in electrical engineering and computer science from Northwestern University in 1987 and 1990, respectively. From 1990 to 1993, he worked at Samsung Electronics, where he designed image stabilization chip sets for consumer camcorders. Since 1993, he has been a faculty member at Chung-Ang University, Seoul, South Korea. Currently, he is a professor in the Graduate School of Advanced Imaging Science, Multimedia and Film. From 1999 to 2002, he was a visiting professor in the Department of Electrical and Computer Engineering at the University of Tennessee, Knoxville. Dr. Paik was a recipient of the Chester-Sall Award from the IEEE Consumer Electronics Society, the Academic Award from the Institute of Electronic Engineers of Korea, and the Best Research Professor Award from Chung-Ang University. He has served the Consumer Electronics Society of IEEE as a member of the editorial board. Since 2005 he has been the head of the National Research Laboratory in the eld of image processing and intelligent systems. In 2008 he worked as a full time technical consultant for the System LSI Division at Samsung Electronics, where he developed various computational photographic techniques including an extended depth-of- eld (EDoF) system. From 2005 to 2007, he served as Dean of the Graduate School of Advanced Imaging Science, Multimedia, and Film. From 2005 to 2007, he wasDirector of the Seoul Future Contents Convergence (SFCC) Cluster established by the Seoul Research and Business Development (R&BD) Program. Dr. Paik is currently serving as a member of the Presidential Advisory Board for Scienti c/Technical Policy for the Korean government and as a technical consultant for the Korean Supreme Prosecutors Office for computational forensics.

• I Introduction to Image Processing.- 1 Fundamentals of Digital Image Processing.- II Multiscale Transform.- 2 Fourier Analysis and Fourier Transform.- 3 Wavelets and Wavelet Transform.- 4 New Multiscale Constructions.- III Application of Multiscale transforms to Image Processing.- 5 Image Restoration.- 6 Image Enhancement.- Appendix A.- Appendix B.- Appendix C.- Appendix D.- Appendix E.- Index.

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 Yu was born in Incheon, Korea, in 1988. He received the B.S. degree in information and communication engineering from Suwon University, Korea, in 2013. He received the M.S degree in image engineering from Chung-Ang University, Korea, in 2016, where he is currently pursuing the Ph.D. degree in image engineering. His research interests include image enhancement, super-resolution, and image restoration.Joonki Paik was born in Seoul, Korea in 1960. He received a B.S. degree in control and instrumentation engineering from Seoul National University in 1984. He received an M.S. and a Ph.D. degrees in electrical engineering and computer science from Northwestern University in 1987 and 1990, respectively. From 1990 to 1993, he worked at Samsung Electronics, where he designed image stabilization chip sets for consumer camcorders. Since 1993, he has been a faculty member at Chung-Ang University, Seoul, South Korea. Currently, he is a professor in the Graduate School of Advanced Imaging Science, Multimedia and Film. From 1999 to 2002, he was a visiting professor in the Department of Electrical and Computer Engineering at the University of Tennessee, Knoxville. Dr. Paik was a recipient of the Chester-Sall Award from the IEEE Consumer Electronics Society, the Academic Award from the Institute of Electronic Engineers of Korea, and the Best Research Professor Award from Chung-Ang University. He has served the Consumer Electronics Society of IEEE as a member of the editorial board. Since 2005 he has been the head of the National Research Laboratory in the eld of image processing and intelligent systems. In 2008 he worked as a full time technical consultant for the System LSI Division at Samsung Electronics, where he developed various computational photographic techniques including an extended depth-of- eld (EDoF) system. From 2005 to 2007, he served as Dean of the Graduate School of Advanced Imaging Science, Multimedia, and Film. From 2005 to 2007, he wasDirector of the Seoul Future Contents Convergence (SFCC) Cluster established by the Seoul Research and Business Development (R&BD) Program. Dr. Paik is currently serving as a member of the Presidential Advisory Board for Scienti c/Technical Policy for the Korean government and as a technical consultant for the Korean Supreme Prosecutors Office for computational forensics.

• I Introduction to Image Processing.- 1 Fundamentals of Digital Image Processing.- II Multiscale Transform.- 2 Fourier Analysis and Fourier Transform.- 3 Wavelets and Wavelet Transform.- 4 New Multiscale Constructions.- III Application of Multiscale transforms to Image Processing.- 5 Image Restoration.- 6 Image Enhancement.- Appendix A.- Appendix B.- Appendix C.- Appendix D.- Appendix E.- Index.

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 Yu was born in Incheon, Korea, in 1988. He received the B.S. degree in information and communication engineering from Suwon University, Korea, in 2013. He received the M.S degree in image engineering from Chung-Ang University, Korea, in 2016, where he is currently pursuing the Ph.D. degree in image engineering. His research interests include image enhancement, super-resolution, and image restoration.Joonki Paik was born in Seoul, Korea in 1960. He received a B.S. degree in control and instrumentation engineering from Seoul National University in 1984. He received an M.S. and a Ph.D. degrees in electrical engineering and computer science from Northwestern University in 1987 and 1990, respectively. From 1990 to 1993, he worked at Samsung Electronics, where he designed image stabilization chip sets for consumer camcorders. Since 1993, he has been a faculty member at Chung-Ang University, Seoul, South Korea. Currently, he is a professor in the Graduate School of Advanced Imaging Science, Multimedia and Film. From 1999 to 2002, he was a visiting professor in the Department of Electrical and Computer Engineering at the University of Tennessee, Knoxville. Dr. Paik was a recipient of the Chester-Sall Award from the IEEE Consumer Electronics Society, the Academic Award from the Institute of Electronic Engineers of Korea, and the Best Research Professor Award from Chung-Ang University. He has served the Consumer Electronics Society of IEEE as a member of the editorial board. Since 2005 he has been the head of the National Research Laboratory in the eld of image processing and intelligent systems. In 2008 he worked as a full time technical consultant for the System LSI Division at Samsung Electronics, where he developed various computational photographic techniques including an extended depth-of- eld (EDoF) system. From 2005 to 2007, he served as Dean of the Graduate School of Advanced Imaging Science, Multimedia, and Film. From 2005 to 2007, he wasDirector of the Seoul Future Contents Convergence (SFCC) Cluster established by the Seoul Research and Business Development (R&BD) Program. Dr. Paik is currently serving as a member of the Presidential Advisory Board for Scienti c/Technical Policy for the Korean government and as a technical consultant for the Korean Supreme Prosecutors Office for computational forensics.

• I Introduction to Image Processing.- 1 Fundamentals of Digital Image Processing.- II Multiscale Transform.- 2 Fourier Analysis and Fourier Transform.- 3 Wavelets and Wavelet Transform.- 4 New Multiscale Constructions.- III Application of Multiscale transforms to Image Processing.- 5 Image Restoration.- 6 Image Enhancement.- Appendix A.- Appendix B.- Appendix C.- Appendix D.- Appendix E.- Index.