Second Generation Wavelets and Applications

Maarten H. Jansen, Patrick Oonincx

Springer Science & Business Media, Apr 28, 2005 - Computers - 138 pages

Wavelets are mathematical functions that divide data into different frequency components, and then study each component with a resolution matched to its scale.

First generation wavelets have proved useful in many applications in engineering and computer science. However they cannot be used with non-linear, data-adaptive decompositions and non-equispaced data

Second Generation Wavelets and Applications introduces "second generation wavelets" and the lifting transform that can be used to apply the traditional benefits of wavelets into a wide range of new areas in signal processing, data processing and computer graphics.

This book details the mathematical fundamentals of the lifting transform and illustrates the latest applications of the transform in signal and image processing, numerical analysis, scattering data smoothing and rendering of computer images.

Contents

• I: 1
• III: 3
• IV: 5
• V: 7
• VI: 8
• VII: 9
• VIII: 12
• IX: 13
• X: 14
• XII: 16
• XIII: 17
• XIV: 21
• XVI: 24
• XVIII: 26
• XIX: 29
• XX: 33
• XXI: 35
• XXII: 38
• XXIII: 40
• XXIV: 41
• XXVI: 45
• XXVII: 52
• XXVIII: 53
• XXIX: 54
• XXXI: 55
• XXXII: 57
• XXXIII: 61
• XXXVI: 64
• XXXVII: 66
• XXXVIII: 70
• XL: 77
• XLI: 78
• XLII: 81
• XLIII: 82
• XLIV: 86
• XLVI: 89
• XLVII: 91
• XLIX: 92
• L: 94
• LI: 95
• LII: 99
• LIII: 103
• LVI: 106
• LVII: 108
• LVIII: 109
• LIX: 111
• LX: 113
• LXII: 118
• LXIII: 120
• LXIV: 129
• LXV: 135

Popular passages

Page 131 - Ideal spatial adaptation via wavelet shrinkage,‎

Page 131 - Multiresolution signal decomposition schemes. Part 2: morphological wavelets. IEEE Transactions on Image Processing, 9: 1897-19 13, 2000.‎

Bibliographic information

• Title: Second Generation Wavelets and Applications
• Authors: Maarten H. Jansen, Patrick Oonincx
• Edition: illustrated
• Publisher: Springer Science & Business Media, 2005
• ISBN: 1852339160, 9781852339166
• Length: 138 pages
• Subjects: Computers / Artificial Intelligence / General; Computers / Image Processing; Computers / Optical Data Processing; Mathematics / Infinity; Mathematics / Mathematical Analysis; Technology & Engineering / Electronics / General; Technology & Engineering / Engineering (General); Technology & Engineering / General; Technology & Engineering / Signals & Signal Processing; Technology & Engineering / Telecommunications