{"title":"Jean-Michel Morel","description":null,"products":[{"product_id":"mathematics-going-forward-book-jean-michel-morel-9783031122439","title":"Mathematics Going Forward","description":"This volume is an original collection of articles by 44 leading mathematicians on the theme of the future of the discipline. The contributions range from musings on the future of specific fields, to analyses of the history of the discipline, to discussions of open problems and conjectures, including first solutions of unresolved problems. Interestingly, the topics do not cover all of mathematics, but only those deemed most worthy to reflect on for future generations. These topics encompass the most active parts of pure and applied mathematics, including algebraic geometry, probability, logic, optimization, finance, topology, partial differential equations, category theory, number theory, differential geometry, dynamical systems, artificial intelligence, theory of groups, mathematical physics and statistics.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":49744770236689,"sku":"NGR9783031122439","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3031122437.jpg?v=1751030734"},{"product_id":"symposium-on-probability-methods-in-analysis-book-jean-michel-morel-9783540039020","title":"Symposium on Probability Methods in Analysis","description":null,"brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52145006248209,"sku":"NLS9783540039020","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783540039020.jpg?v=1757591583"},{"product_id":"variational-methods-in-image-segmentation-book-jean-michel-morel-9781468405699","title":"Variational Methods in Image Segmentation","description":"This book contains both a synthesis and mathematical analysis of a wide set of algorithms and theories whose aim is the automatic segmen- tation of digital images as well as the understanding of visual perception. A common formalism for these theories and algorithms is obtained in a variational form. Thank to this formalization, mathematical questions about the soundness of algorithms can be raised and answered. Perception theory has to deal with the complex interaction between regions and edges (or boundaries) in an image: in the variational seg- mentation energies, edge terms compete with region terms in a way which is supposed to impose regularity on both regions and boundaries. This fact was an experimental guess in perception phenomenology and computer vision until it was proposed as a mathematical conjecture by Mumford and Shah. The third part of the book presents a unified presentation of the evi- dences in favour of the conjecture. It is proved that the competition of one-dimensional and two-dimensional energy terms in a variational for- mulation cannot create fractal-like behaviour for the edges. The proof of regularity for the edges of a segmentation constantly involves con- cepts from geometric measure theory, which proves to be central in im- age processing theory. The second part of the book provides a fast and self-contained presentation of the classical theory of rectifiable sets (the edges) and unrectifiable sets (fractals).","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52622619115793,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52622619934993,"sku":"NLS9781468405699","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781468405699.jpg?v=1761606626"}],"url":"https:\/\/www.worldofbooks.com\/de-de\/collections\/autor-buecher-von-jean-michel-morel.oembed","provider":"World of Books ","version":"1.0","type":"link"}