From Gestalt theory to image analysis. A probabilistic approach. This book introduces the reader to a recent theory in Computer Vision yielding elementary techniques to analyse digital images. These techniques are inspired from and are a mathematical formalization of the Gestalt theory. Gestalt theory, which had never been formalized is a rigorous realm of vision psychology developed between 1923 and 1975. From the mathematical viewpoint the closest field to it is stochastic geometry, involving basic probability and statistics, in the context of image analysis. The book is intended for a multidisciplinary audience of researchers and engineers. It is self contained in three aspects: mathematics, vision and algorithms, and requires only a background of elementary calculus and probability. A large number of illustrations, exercises and examples are included. The authors maintain a public software, MegaWave, containing implementations of most of the image analysis techniques developed in the book.

References in zbMATH (referenced in 18 articles , 1 standard article )

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  1. Desolneux, Agnès; Doré, Fanny: An anisotropic A contrario framework for the detection of convergences in images (2016)
  2. Leclaire, Arthur; Moisan, Lionel: No-reference image quality assessment and blind deblurring with sharpness metrics exploiting Fourier phase information (2015)
  3. Moreno Cañadas, Agustín; Osorio Angarita, María Alejandra; German Salas-Avila, William: Matrix problems to generate mosaic-based CAPTCHAs (2015)
  4. Xia, Gui-Song; Delon, Julie; Gousseau, Yann: Accurate junction detection and characterization in natural images (2014)
  5. Ammar, Moez; Le Hégarat-Mascle, Sylvie: An a-contrario approach for object detection in video sequence (2013)
  6. Liu, Sijia; Matzavinos, Anastasios; Sethuraman, Sunder: Random walk distances in data clustering and applications (2013)
  7. Hu, Rong-Xiang; Jia, Wei; Zhao, Yang; Gui, Jie: Perceptually motivated morphological strategies for shape retrieval (2012)
  8. Flenner, Arjuna; Hewer, Gary: A Helmholtz principle approach to parameter free change detection and coherent motion using exchangeable random variables (2011)
  9. Tepper, Mariano; Musé, Pablo; Almansa, Andrés; Mejail, Marta: Automatically finding clusters in normalized cuts (2011)
  10. Caselles, Vicent; Monasse, Pascal: Geometric description of images as topographic maps (2010)
  11. Rabin, J.; Delon, J.; Gousseau, Y.: A statistical approach to the matching of local features (2009)
  12. Coupier, David: Two sufficient conditions for Poisson approximations in the ferromagnetic Ising model (2008)
  13. Delsolneux, Agnès; Moisan, Lionel; Morel, Jean-Michel: From Gestalt theory to image analysis. A probabilistic approach. (2008)
  14. Erdem, Erkut; Tari, Sibel: Mumford-shah regularizer with contextual feedback (2008)
  15. Grosjean, Bénédicte; Moisan, Lionel: A-contrario detectability of spots in Textured backgrounds (2008)
  16. Setzer, S.; Steidl, G.; Teuber, T.: Restoration of images with rotated shapes (2008)
  17. Durand, Sylvain; Froment, Jacques: Reconstruction of wavelet coefficients using total variation minimization (2003)
  18. Froment, Jacques: A functional analysis model for natural images permitting structured compression (1999)