000 02421nam a2200193Ia 4500
005 20250409102302.0
008 230421s2010||||xx |||||||||||||| ||eng||
020 _a9781489982452
041 _aEnglish
082 _a621.367 E46
100 _aElad, Michael
_eAuthor
245 0 _aSparse and redundant representations: from theory to applications in signal and image processing
260 _aNew York:
_bSpringer,
_c2010.
300 _axx, 376p.; 23cms.
500 _aA long long time ago, echoing philosophical and aesthetic principles that existed since antiquity, William of Ockham enounced the principle of parsimony, better known today as Ockham’s razor: “Entities should not be multiplied without neces sity. ” This principle enabled scientists to select the ”best” physical laws and theories to explain the workings of the Universe and continued to guide scienti?c research, leadingtobeautifulresultsliketheminimaldescriptionlength approachtostatistical inference and the related Kolmogorov complexity approach to pattern recognition. However, notions of complexity and description length are subjective concepts anddependonthelanguage“spoken”whenpresentingideasandresults. The?eldof sparse representations, that recently underwent a Big Bang like expansion, explic itly deals with the Yin Yang interplay between the parsimony of descriptions and the “language” or “dictionary” used in them, and it became an extremely exciting area of investigation. It alreadyyielded a rich crop of mathematically pleasing, deep and beautiful results that quickly translated into a wealth of practical engineering applications. You are holding in your hands the ?rst guide book to Sparseland, and I am sure you’ll ?nd in it both familiar and new landscapes to see and admire, as well as ex cellent pointers that will help you ?nd further valuable treasures. Enjoy the journey to Sparseland! Haifa, Israel, December 2009 Alfred M. Bruckstein vii Preface This book was originally written to serve as the material for an advanced one semester (fourteen 2 hour lectures) graduate course for engineering students at the Technion, Israel.
650 _aElectric, electronic, magnetic, communications, computer engineering and lighting
_xFunctional analysis
_92318
650 _aElectric, electronic, magnetic, communications, computer engineering and lighting
_xImage processing
_xMathematics
_92319
942 _cBK
999 _c829
_d829