## Image Processing and Analysis: Variational, PDE, Wavelet, and Stochastic MethodsThis book develops the mathematical foundation of modern image processing and low-level computer vision, bridging contemporary mathematics with state-of-the-art methodologies in modern image processing, whilst organizing contemporary literature into a coherent and logical structure. The authors have integrated the diversity of modern image processing approaches by revealing the few common threads that connect them to Fourier and spectral analysis, the machinery that image processing has been traditionally built on. The text is systematic and well organized: the geometric, functional, and atomic structures of images are investigated, before moving to a rigorous development and analysis of several image processors. The book is comprehensive and integrative, covering the four most powerful classes of mathematical tools in contemporary image analysis and processing while exploring their intrinsic connections and integration. The material is balanced in theory and computation, following a solid theoretical analysis of model building and performance with computational implementation and numerical examples. |

### What people are saying - Write a review

direct pde based methods may assume too much regularity in natural images but could still be very powerful in processing highlevel parameteric features. wavelets could also absorb more stochastic info to be closer to Markov models, esp. on multiscale graphical models. these are the topics i feel the authors can further explore and expand in future releases, and will generate even bigger impacts. overall, the authors have been very serious researchers on imaging whose talks and publications are always enthusiastic, innovative, and even somewhat adventurous. the question for the community is to sort out where we are heading given this rich toolkit of modern mathematics.

I really enjoyed reading the interesting connection to statistical mechanics, though the physics of various imaging processes has not been explained in details.

### Contents

III | 1 |

IV | 3 |

VII | 5 |

VIII | 6 |

XI | 8 |

XII | 9 |

XIV | 11 |

XV | 12 |

C | 183 |

CI | 185 |

CII | 191 |

CIII | 194 |

CIV | 198 |

CV | 203 |

CVII | 204 |

CVIII | 207 |

XVII | 14 |

XVIII | 15 |

XIX | 16 |

XX | 17 |

XXI | 19 |

XXII | 21 |

XXIII | 24 |

XXIV | 26 |

XXV | 31 |

XXVI | 36 |

XXVII | 44 |

XXVIII | 45 |

XXIX | 46 |

XXX | 49 |

XXXI | 52 |

XXXII | 54 |

XXXIII | 55 |

XXXIV | 56 |

XXXV | 58 |

XXXVI | 61 |

XXXVIII | 62 |

XXXIX | 64 |

XL | 65 |

XLII | 67 |

XLIII | 70 |

XLIV | 73 |

XLVI | 75 |

XLVII | 76 |

XLVIII | 77 |

XLIX | 80 |

L | 86 |

LI | 91 |

LII | 93 |

LIV | 96 |

LV | 98 |

LVII | 99 |

LIX | 104 |

LX | 107 |

LXI | 115 |

LXIII | 116 |

LXIV | 117 |

LXV | 119 |

LXVI | 122 |

LXVII | 124 |

LXVIII | 126 |

LXIX | 127 |

LXXI | 129 |

LXXIII | 130 |

LXXIV | 131 |

LXXV | 132 |

LXXVII | 134 |

LXXVIII | 135 |

LXXIX | 136 |

LXXX | 138 |

LXXXI | 140 |

LXXXII | 145 |

LXXXIII | 147 |

LXXXIV | 150 |

LXXXV | 151 |

LXXXVI | 153 |

LXXXVII | 156 |

LXXXVIII | 157 |

LXXXIX | 159 |

XC | 160 |

XCII | 163 |

XCIII | 165 |

XCIV | 171 |

XCV | 174 |

XCVI | 175 |

XCVIII | 177 |

XCIX | 178 |

CIX | 208 |

CX | 214 |

CXI | 216 |

CXII | 217 |

CXIV | 218 |

CXV | 220 |

CXVII | 222 |

CXVIII | 224 |

CXIX | 226 |

CXXI | 230 |

CXXII | 233 |

CXXIII | 245 |

CXXIV | 246 |

CXXVI | 248 |

CXXVII | 249 |

CXXVIII | 251 |

CXXIX | 253 |

CXXX | 256 |

CXXXI | 257 |

CXXXII | 258 |

CXXXIII | 263 |

CXXXIV | 264 |

CXXXV | 265 |

CXXXVI | 268 |

CXXXVII | 269 |

CXXXVIII | 270 |

CXXXIX | 272 |

CXL | 274 |

CXLII | 276 |

CXLIII | 277 |

CXLIV | 279 |

CXLV | 282 |

CXLVI | 284 |

CXLVII | 287 |

CXLVIII | 289 |

CXLIX | 291 |

CL | 295 |

CLII | 299 |

CLIII | 301 |

CLIV | 302 |

CLV | 303 |

CLVI | 307 |

CLVII | 309 |

CLVIII | 310 |

CLIX | 315 |

CLX | 318 |

CLXII | 320 |

CLXIII | 322 |

CLXIV | 325 |

CLXV | 327 |

CLXVI | 329 |

CLXVII | 331 |

CLXVIII | 332 |

CLXIX | 338 |

CLXXI | 339 |

CLXXII | 342 |

CLXXIII | 343 |

CLXXIV | 344 |

CLXXVI | 345 |

CLXXVII | 347 |

CLXXVIII | 351 |

CLXXIX | 355 |

CLXXXI | 359 |

CLXXXII | 362 |

CLXXXIII | 364 |

CLXXXIV | 366 |

CLXXXV | 369 |

373 | |

393 | |