Computational Line Geometry
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| Author | : Helmut Pottmann |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 584 |
| Release | : 2001-06-20 |
| Genre | : Mathematics |
| ISBN | : 9783540420583 |
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
| Author | : Helmut Pottmann |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 572 |
| Release | : 2009-12-16 |
| Genre | : Mathematics |
| ISBN | : 3642040187 |
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
| Author | : Helmut Pottmann |
| Publisher | : Springer |
| Total Pages | : 564 |
| Release | : 2010-04-30 |
| Genre | : Mathematics |
| ISBN | : 9783642040580 |
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
| Author | : Franco P. Preparata |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 413 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461210984 |
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 | : Mark de Berg |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 370 |
| Release | : 2013-04-17 |
| Genre | : Computers |
| ISBN | : 3662042452 |
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 | : Michael Jay Laszlo |
| Publisher | : |
| Total Pages | : 296 |
| Release | : 1996 |
| Genre | : Computers |
| ISBN | : |
This book provides an accessible introduction to methods in computational geometry and computer graphics. It emphasizes the efficient object-oriented implemenation of geometric methods with useable C++ code for all methods discussed.
| Author | : H. Nowacki |
| Publisher | : World Scientific |
| Total Pages | : 220 |
| Release | : 1995-03 |
| Genre | : Technology & Engineering |
| ISBN | : 9789810233532 |
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 | : Satyan L. Devadoss |
| Publisher | : Princeton University Press |
| Total Pages | : 270 |
| Release | : 2011-04-11 |
| Genre | : Mathematics |
| ISBN | : 1400838983 |
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 | : Frank Nielsen |
| Publisher | : Springer |
| Total Pages | : 312 |
| Release | : 2016-11-24 |
| Genre | : Technology & Engineering |
| ISBN | : 3319470582 |
This book focuses on the application and development of information geometric methods in the analysis, classification and retrieval of images and signals. It provides introductory chapters to help those new to information geometry and applies the theory to several applications. This area has developed rapidly over recent years, propelled by the major theoretical developments in information geometry, efficient data and image acquisition and the desire to process and interpret large databases of digital information. The book addresses both the transfer of methodology to practitioners involved in database analysis and in its efficient computational implementation.
| Author | : Martin Held |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 192 |
| Release | : 1991-06-12 |
| Genre | : Computers |
| ISBN | : 9783540541035 |
In this monograph the author presents a thorough computational geometry approach to handling theoretical and practical problems arising from numerically controlled pocket machining. The approach unifies two scientific disciplines: computational geometry and mechanical engineering. Topics of practical importance that are dealt with include the selection of tool sizes, the determination of tool paths, and the optimization of tool paths. Full details of the algorithms are given from a practical point of view, including information on implementation issues. This practice-minded approach is embedded in a rigorous theoretical framework enabling concise statement of definitions and proof of the correctness and efficiency of the algorithms. In particular, the construction of Voronoi diagrams and their use for offset calculations are investigated in great detail. Based on Voronoi diagrams, a graph-like structure is introduced that serves as a high-level abstraction of the pocket geometry and provides the basis for algorithmically performing shape interrogation and path planning tasks. Finally, the efficiency and robustness of the approach is illustrated with figures showing pocketing examples that have been processed by the author's own implementation.
