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{ "item_title" : "Regularized Optimization Methods for Reconstruction and Modeling in Computer Graphics", "item_author" : [" Stephan Wenger "], "item_description" : "The 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.", "item_img_path" : "https://covers4.booksamillion.com/covers/bam/3/73/574/299/3735742998_b.jpg", "price_data" : { "retail_price" : "20.50", "online_price" : "20.50", "our_price" : "20.50", "club_price" : "20.50", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Regularized Optimization Methods for Reconstruction and Modeling in Computer Graphics|Stephan Wenger

Regularized Optimization Methods for Reconstruction and Modeling in Computer Graphics : Dissertation

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Overview

The 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.

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Details

  • ISBN-13: 9783735742995
  • ISBN-10: 3735742998
  • Publisher: Bod - Books on Demand
  • Publish Date: July 2014
  • Dimensions: 8.27 x 5.83 x 0.42 inches
  • Shipping Weight: 0.53 pounds
  • Page Count: 198

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