{"product_id":"regularized-optimization-methods-for-reconstruction-and-modeling-in-computer-graphics-dissertation-9783735742995","title":"Regularized Optimization Methods for Reconstruction and Modeling in Computer Graphics: Dissertation","description":"\u003cp\u003e • Author(s): Stephan Wenger\u003cbr\u003e • Publisher: Bod - Books on Demand\u003cbr\u003e • Publisher Imprint: Bod - Books on Demand\u003cbr\u003e • BISAC: Languages - General\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe field of computer graphics deals with virtual representations of the real world. These can be obtained either through reconstruction of a model from measurements, or by directly modeling a virtual object, often on a real-world example. The former is often formalized as a regularized optimization problem, in which a data term ensures consistency between model and data and a regularization term promotes solutions that have high a priori probability. In this dissertation, different reconstruction problems in computer graphics are shown to be instances of a common class of optimization problems which can be solved using a uniform algorithmic framework. Moreover, it is shown that similar optimization methods can also be used to solve data-based modeling problems, where the amount of information that can be obtained from measurements is insufficient for accurate reconstruction. As real-world examples of reconstruction problems, sparsity and group sparsity methods are presented for radio interferometric image reconstruction in static and time-dependent settings. As a modeling example, analogous approaches are investigated to automatically create volumetric models of astronomical nebulae from single images based on symmetry assumptions.\u003c\/p\u003e","brand":"Bod - Books on Demand","offers":[{"title":"Paperback","offer_id":45553355751575,"sku":"9783735742995","price":1788.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783735742995.webp?v=1767180682","url":"https:\/\/atlanticbooks.com\/products\/regularized-optimization-methods-for-reconstruction-and-modeling-in-computer-graphics-dissertation-9783735742995","provider":"Atlantic Books","version":"1.0","type":"link"}