SAGA - Advances in ShApes, Geometry, and Algebra: Results from the Marie Curie Initial Training Network (Geometry and Computing)
暫譯: SAGA - 形狀、幾何與代數的進展:來自瑪麗·居里初始訓練網絡的成果(幾何與計算)

  • 出版商: Springer
  • 出版日期: 2014-11-13
  • 售價: $2,320
  • 貴賓價: 9.5$2,204
  • 語言: 英文
  • 頁數: 323
  • 裝訂: Hardcover
  • ISBN: 3319086340
  • ISBN-13: 9783319086347
  • 海外代購書籍(需單獨結帳)

商品描述

This book summarizes research carried out in workshops of the SAGA project, an Initial Training Network exploring the interplay of Shapes, Algebra, Geometry and Algorithms.

Written by a combination of young and experienced researchers, the book introduces new ideas in an established context. Among the central topics are approximate and sparse implicitization and surface parametrization; algebraic tools for geometric computing; algebraic geometry for computer aided design applications and problems with industrial applications.

Readers will encounter new methods for the (approximate) transition between the implicit and parametric representation; new algebraic tools for geometric computing; new applications of isogeometric analysis and will gain insight into the emerging research field situated between algebraic geometry and computer aided geometric design.

商品描述(中文翻譯)

本書總結了SAGA專案工作坊中進行的研究,這是一個探索形狀、代數、幾何和演算法之間相互作用的初步訓練網絡。

本書由一群年輕與經驗豐富的研究者共同撰寫,介紹了在既定背景下的新觀點。主要主題包括近似和稀疏隱式化及曲面參數化;用於幾何計算的代數工具;用於計算機輔助設計應用的代數幾何以及具有工業應用的問題。

讀者將會接觸到隱式表示與參數表示之間(近似)轉換的新方法;用於幾何計算的新代數工具;等幾何分析的新應用,並將深入了解位於代數幾何與計算機輔助幾何設計之間的新興研究領域。

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