{"product_id":"euclidean-shortest-paths-exact-or-approximate-algorithms-9781447122555","title":"Euclidean Shortest Paths: Exact or Approximate Algorithms","description":"\u003cp\u003e • Author(s): Fajie Li\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Design, Graphics \u0026amp; Media - CAD-CAM\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThe Euclidean shortest path (ESP) problem asks the question: what is the path of minimum length connecting two points in a 2- or 3-dimensional space? Variants of this industrially-significant computational geometry problem also require the path to pass through specified areas and avoid defined obstacles.\u003c\/p\u003e\u003cp\u003eThis unique text\/reference reviews algorithms for the exact or approximate solution of shortest-path problems, with a specific focus on a class of algorithms called rubberband algorithms. Discussing each concept and algorithm in depth, the book includes mathematical proofs for many of the given statements. Suitable for a second- or third-year university algorithms course, the text enables readers to understand not only the algorithms and their pseudocodes, but also the correctness proofs, the analysis of time complexities, and other related topics.\u003c\/p\u003e\u003cp\u003e\u003cb\u003eTopics and features: \u003c\/b\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eProvides theoretical and programming exercises at the end of each chapter\u003c\/li\u003e\n\u003cli\u003ePresents a thorough introduction to shortest paths in Euclidean geometry, and the class of algorithms called rubberband algorithms\u003c\/li\u003e\n\u003cli\u003eDiscusses algorithms for calculating exact or approximate ESPs in the plane\u003c\/li\u003e\n\u003cli\u003eExamines the shortest paths on 3D surfaces, in simple polyhedrons and in cube-curves\u003c\/li\u003e\n\u003cli\u003eDescribes the application of rubberband algorithms for solving art gallery problems, including the safari, zookeeper, watchman, and touring polygons route problems\u003c\/li\u003e\n\u003cli\u003eIncludes lists of symbols and abbreviations, in addition to other appendices\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eThis hands-on guide will be of interest to undergraduate students in computer science, IT, mathematics, and engineering. Programmers, mathematicians, and engineers dealing with shortest-path problems in practical applications will also find the book a useful resource.\u003c\/p\u003e\u003cp\u003e\u003cb\u003eDr. Fajie Li\u003c\/b\u003e is at Huaqiao University, Xiamen, Fujian, China. \u003cb\u003eProf. Dr. Reinhard Klette\u003c\/b\u003e is at the Tamaki Innovation Campus of The University of Auckland.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Hardcover","offer_id":45275152253079,"sku":"9781447122555","price":11643.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781447122555.webp?v=1769282047","url":"https:\/\/atlanticbooks.com\/products\/euclidean-shortest-paths-exact-or-approximate-algorithms-9781447122555","provider":"Atlantic Books","version":"1.0","type":"link"}