[PDF] Computational Geometry For Ships eBook

Author : H. Nowacki
Publisher : World Scientific
Page : 220 pages
File Size : 34,64 MB
Release : 1995-03
Category : Technology & Engineering
ISBN : 9789810233532

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This book offers an advanced course on ?Computational Geometry for Ships?. It takes into account the recent rapid progress in this field by adapting modern computational methodology to ship geometric applications. Preliminary curve and surface techniques are included to educate engineers in the use of mathematical methods to assist in CAD and other design areas. In addition, there is a comprehensive study of interpolation and approximation techniques, which is reinforced by direct application to ship curve design, ship curve fairing techniques and other related disciplines. The design, evaluation and production of ship surface geometries are further demonstrated by including current and evolving CAD modelling systems.

Author : Mark de Berg
Publisher : Springer Science & Business Media
Page : 370 pages
File Size : 16,99 MB
Release : 2013-04-17
Category : Computers
ISBN : 3662042452

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This introduction to computational geometry focuses on algorithms. Motivation is provided from the application areas as all techniques are related to particular applications in robotics, graphics, CAD/CAM, and geographic information systems. Modern insights in computational geometry are used to provide solutions that are both efficient and easy to understand and implement.

Author : Franco P. Preparata
Publisher : Springer Science & Business Media
Page : 413 pages
File Size : 31,70 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461210984

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From the reviews: "This book offers a coherent treatment, at the graduate textbook level, of the field that has come to be known in the last decade or so as computational geometry. ... ... The book is well organized and lucidly written; a timely contribution by two founders of the field. It clearly demonstrates that computational geometry in the plane is now a fairly well-understood branch of computer science and mathematics. It also points the way to the solution of the more challenging problems in dimensions higher than two." #Mathematical Reviews#1 "... This remarkable book is a comprehensive and systematic study on research results obtained especially in the last ten years. The very clear presentation concentrates on basic ideas, fundamental combinatorial structures, and crucial algorithmic techniques. The plenty of results is clever organized following these guidelines and within the framework of some detailed case studies. A large number of figures and examples also aid the understanding of the material. Therefore, it can be highly recommended as an early graduate text but it should prove also to be essential to researchers and professionals in applied fields of computer-aided design, computer graphics, and robotics." #Biometrical Journal#2

Author : Satyan L. Devadoss
Publisher : Princeton University Press
Page : 270 pages
File Size : 18,38 MB
Release : 2011-04-11
Category : Mathematics
ISBN : 1400838983

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An essential introduction to discrete and computational geometry Discrete geometry is a relatively new development in pure mathematics, while computational geometry is an emerging area in applications-driven computer science. Their intermingling has yielded exciting advances in recent years, yet what has been lacking until now is an undergraduate textbook that bridges the gap between the two. Discrete and Computational Geometry offers a comprehensive yet accessible introduction to this cutting-edge frontier of mathematics and computer science. This book covers traditional topics such as convex hulls, triangulations, and Voronoi diagrams, as well as more recent subjects like pseudotriangulations, curve reconstruction, and locked chains. It also touches on more advanced material, including Dehn invariants, associahedra, quasigeodesics, Morse theory, and the recent resolution of the Poincaré conjecture. Connections to real-world applications are made throughout, and algorithms are presented independently of any programming language. This richly illustrated textbook also features numerous exercises and unsolved problems. The essential introduction to discrete and computational geometry Covers traditional topics as well as new and advanced material Features numerous full-color illustrations, exercises, and unsolved problems Suitable for sophomores in mathematics, computer science, engineering, or physics Rigorous but accessible An online solutions manual is available (for teachers only)

Author : Kenichi Kanatani
Publisher : Courier Corporation
Page : 548 pages
File Size : 42,12 MB
Release : 2005-07-26
Category : Mathematics
ISBN : 0486443086

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This text for graduate students discusses the mathematical foundations of statistical inference for building three-dimensional models from image and sensor data that contain noise--a task involving autonomous robots guided by video cameras and sensors. The text employs a theoretical accuracy for the optimization procedure, which maximizes the reliability of estimations based on noise data. The numerous mathematical prerequisites for developing the theories are explained systematically in separate chapters. These methods range from linear algebra, optimization, and geometry to a detailed statistical theory of geometric patterns, fitting estimates, and model selection. In addition, examples drawn from both synthetic and real data demonstrate the insufficiencies of conventional procedures and the improvements in accuracy that result from the use of optimal methods.

Author : Joseph O'Rourke
Publisher : Cambridge University Press
Page : 396 pages
File Size : 10,21 MB
Release : 1998-10-13
Category : Computers
ISBN : 110726863X

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This is the revised and expanded 1998 edition of a popular introduction to the design and implementation of geometry algorithms arising in areas such as computer graphics, robotics, and engineering design. The basic techniques used in computational geometry are all covered: polygon triangulations, convex hulls, Voronoi diagrams, arrangements, geometric searching, and motion planning. The self-contained treatment presumes only an elementary knowledge of mathematics, but reaches topics on the frontier of current research, making it a useful reference for practitioners at all levels. The second edition contains material on several new topics, such as randomized algorithms for polygon triangulation, planar point location, 3D convex hull construction, intersection algorithms for ray-segment and ray-triangle, and point-in-polyhedron. The code in this edition is significantly improved from the first edition (more efficient and more robust), and four new routines are included. Java versions for this new edition are also available. All code is accessible from the book's Web site (http://cs.smith.edu/~orourke/) or by anonymous ftp.

Author : Jacob E. Goodman
Publisher : Cambridge University Press
Page : 640 pages
File Size : 29,49 MB
Release : 2005-08-08
Category : Computers
ISBN : 9780521848626

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This 2005 book deals with interest topics in Discrete and Algorithmic aspects of Geometry.

Author : Ketan Mulmuley
Publisher : Prentice Hall
Page : 472 pages
File Size : 49,74 MB
Release : 1994
Category : Computers
ISBN :

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For beginning graduate-level courses in computational geometry. This up-to-date and concise introduction to computational geometry with emphasis on simple randomized methods is designed for quick, easy access to beginners.

Author : J. Andreas Bærentzen
Publisher : Springer Science & Business Media
Page : 330 pages
File Size : 21,13 MB
Release : 2012-05-31
Category : Computers
ISBN : 1447140753

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This book reviews the algorithms for processing geometric data, with a practical focus on important techniques not covered by traditional courses on computer vision and computer graphics. Features: presents an overview of the underlying mathematical theory, covering vector spaces, metric space, affine spaces, differential geometry, and finite difference methods for derivatives and differential equations; reviews geometry representations, including polygonal meshes, splines, and subdivision surfaces; examines techniques for computing curvature from polygonal meshes; describes algorithms for mesh smoothing, mesh parametrization, and mesh optimization and simplification; discusses point location databases and convex hulls of point sets; investigates the reconstruction of triangle meshes from point clouds, including methods for registration of point clouds and surface reconstruction; provides additional material at a supplementary website; includes self-study exercises throughout the text.

Author : Helmut Pottmann
Publisher : Springer Science & Business Media
Page : 584 pages
File Size : 39,65 MB
Release : 2001-06-20
Category : Mathematics
ISBN : 9783540420583

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From the reviews: " A unique and fascinating blend, which is shown to be useful for a variety of applications, including robotics, geometrical optics, computer animation, and geometric design. The contents of the book are visualized by a wealth of carefully chosen illustrations, making the book a shear pleasure to read, or even to just browse in." Mathematical Reviews