Synopsis
This book delves into the fascinating realm of piecewise linear functions and their envelopes, exploring their applications in computational geometry. The author skillfully navigates through topics such as hidden line/surface elimination, motion planning, transversals of polytopes, and Voronoi diagrams, providing both combinatorial and computational insights. Building upon established combinatorial bounds, the book presents efficient algorithms for calculating envelopes of piecewise linear functions. It delves into special cases and extensions, addressing scenarios where functions intersect or where they are represented by half-hyperplanes or disjoint simplices. The thematic depth of this book lies in its exploration of the intricate relationship between piecewise linear functions and geometric problems. It reveals how envelopes provide a powerful framework for understanding and solving problems in diverse areas of computational geometry. From visualizing complex objects to planning collision-free paths for robots, the book showcases the versatility and practical significance of these mathematical concepts. By bridging the gap between theory and application, this book offers valuable insights into the power of piecewise linear functions as a tool for geometric analysis and algorithm design.
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The Upper Envelope of Piecewise Linear Functions: Algorithms and Applications
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book delves into the fascinating realm of piecewise linear functions and their envelopes, exploring their applications in computational geometry. The author skillfully navigates through topics such as hidden line/surface elimination, motion planning, transversals of polytopes, and Voronoi diagrams, providing both combinatorial and computational insights. Building upon established combinatorial bounds, the book presents efficient algorithms for calculating envelopes of piecewise linear functions. It delves into special cases and extensions, addressing scenarios where functions intersect or where they are represented by half-hyperplanes or disjoint simplices. The thematic depth of this book lies in its exploration of the intricate relationship between piecewise linear functions and geometric problems. It reveals how envelopes provide a powerful framework for understanding and solving problems in diverse areas of computational geometry. From visualizing complex objects to planning collision-free paths for robots, the book showcases the versatility and practical significance of these mathematical concepts. By bridging the gap between theory and application, this book offers valuable insights into the power of piecewise linear functions as a tool for geometric analysis and algorithm design. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781334264153_0
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The Upper Envelope of Piecewise Linear Functions Algorithms and Applications Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781334264153
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The Upper Envelope of Piecewise Linear Functions Algorithms and Applications Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781334264153
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