This book presents work in two of the most popularareas of geometric computation: Robust GeometricComputing and Optimal Visibility Coverage. Both areashave been extensively researched in recent years andattracted the attention of many researchers andsoftware developers. (1) Implementation of geometricalgorithms is generally difficult because one mustdeal with both precision problems and degenerateinput. Overlooking these issues often result inprogram errors or crashes. The first part of thisbook presents algorithms to approximate anarrangement of line segments, which is a basic andimportant geometric data structure, in order to makeit more robust for further manipulation andcomputation. (2) The optimal visibility coverageproblem, often called the "art gallery problem", isone of the classic geometric problems. The input forthe problem is a geometric domain and the challengeis to minimize the number of guards that cover, orsee, the domain. This topic is motivated by problemsin surveillance, sensor networking, illumination andmore. The second part of this book presentsalgorithms for some of the most popular visibilitycoverage problems.
This book presents work in two of the most popularareas of geometric computation: Robust GeometricComputing and Optimal Visibility Coverage. Both areashave been extensively researched in recent years andattracted the attention of many researchers andsoftware developers. (1) Implementation of geometricalgorithms is generally difficult because one mustdeal with both precision problems and degenerateinput. Overlooking these issues often result inprogram errors or crashes. The first part of thisbook presents algorithms to approximate anarrangement of line segments, which is a basic andimportant geometric data structure, in order to makeit more robust for further manipulation andcomputation. (2) The optimal visibility coverageproblem, often called the "art gallery problem", isone of the classic geometric problems. The input forthe problem is a geometric domain and the challengeis to minimize the number of guards that cover, orsee, the domain. This topic is motivated by problemsin surveillance, sensor networking, illumination andmore. The second part of this book presentsalgorithms for some of the most popular visibilitycoverage problems.
This textbook presents various automatic techniques based on Groebner bases elimination to prove well-known geometrical theorems and formulas. Besides proving theorems, these methods are used to...
A variety of introductory articles is provided on a wide range of topics, including variational problems on curves and surfaces with anisotropic curvature. Experts in the fields of Riemannian,...
Geometry is a classical core part of mathematics which, with its birth, marked the beginning of the mathematical sciences. Thus, not surprisingly, geometry has played a key role in many important...
Discover your next great read at BookLoop, Australiand online bookstore offering a vast selection of titles across various genres and interests. Whether you're curious about what's trending or searching for graphic novels that captivate, thrilling crime and mystery fiction, or exhilarating action and adventure stories, our curated collections have something for every reader. Delve into imaginative fantasy worlds or explore the realms of science fiction that challenge the boundaries of reality. Fans of contemporary narratives will find compelling stories in our contemporary fiction section. Embark on epic journeys with our fantasy and science fiction titles,
Shop Trending Books and New Releases
Explore our new releases for the most recent additions in romance books, fantasy books, graphic novels, crime and mystery books, science fiction books as well as biographies, cookbooks, self help books, tarot cards, fortunetelling and much more. With titles covering current trends, booktok and bookstagram recommendations, and emerging authors, BookLoop remains your go-to local australian bookstore for buying books online across all book genres.
Shop Best Books By Collection
Stay updated with the literary world by browsing our trending books, featuring the latest bestsellers and critically acclaimed works. Explore titles from popular brands like Minecraft, Pokemon, Star Wars, Bluey, Lonely Planet, ABIA award winners, Peppa Pig, and our specialised collection of ADHD books. At BookLoop, we are committed to providing a diverse and enriching reading experience for all.
Sign In
your cart
Your cart is empty
Menu
Search
PRE-SALES
If you have any questions before making a purchase chat with our online operators to get more information.
