000 a
999 _c32479
_d32479
008 230803b xxu||||| |||| 00| 0 eng d
020 _a9781119111740
082 _a621.382201511332
_bDUB
100 _aDubois, Eric
245 _aMultidimensional signal and color image processing using lattices
260 _bWiley,
_c2019
_aHoboken :
300 _axiii, 333 p. ;
_bill., (some color),
_c25 cm
365 _b142.95
_cUSD
_d85.50
504 _aIncludes bibliographical references and index.
520 _aAn Innovative Approach to Multidimensional Signals and Systems Theory for Image and Video Processing In this volume, Eric Dubois further develops the theory of multi-D signal processing wherein input and output are vector-value signals. With this framework, he introduces the reader to crucial concepts in signal processing such as continuous- and discrete-domain signals and systems, discrete-domain periodic signals, sampling and reconstruction, light and color, random field models, image representation and more. While most treatments use normalized representations for non-rectangular sampling, this approach obscures much of the geometrical and scale information of the signal. In contrast, Dr. Dubois uses actual units of space-time and frequency. Basis-independent representations appear as much as possible, and the basis is introduced where needed to perform calculations or implementations. Thus, lattice theory is developed from the beginning and rectangular sampling is treated as a special case. This is especially significant in the treatment of color and color image processing and for discrete transform representations based on symmetry groups, including fast computational algorithms. Other features include: -An entire chapter on lattices, giving the reader a thorough grounding in the use of lattices in signal processing -Extensive treatment of lattices as used to describe discrete-domain signals and signal periodicities -Chapters on sampling and reconstruction, random field models, symmetry invariant signals and systems and multidimensional Fourier transformation properties -Supplemented throughout with MATLAB examples and accompanying downloadable source code Graduate and doctoral students as well as senior undergraduates and professionals working in signal processing or videomage processing and imaging will appreciate this fresh approach to multidimensional signals and systems theory, both as a thorough introduction to the subject and as inspiration for future research.
650 _aImage processing Mathematics
650 _aCIELAB
650 _aContinuous-Domain signals
650 _aCoset representatives
650 _aDensity matrix
650 _aDiscrete Domain signals
650 _aFIR filter
650 _a Frequency response
650 _aHexagonal lattice
650 _aInteger matrix
650 _aLinear system
650 _aLow-pass filter
650 _aLSI system
650 _aMultidimensional system
650 _a Random field
650 _aSmith normal form
650 _aSpectral density
650 _aSymmetry group
650 _aUnit cell
650 _aVector space
650 _aZone plate
650 _aMATLAB
942 _2ddc
_cBK