Intersections Of Implicit Surfaces
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| Author | : James H. Davenport |
| Publisher | : Springer |
| Total Pages | : 525 |
| Release | : 2018-07-17 |
| Genre | : Computers |
| ISBN | : 3319964186 |
This book constitutes the proceedings of the 6th International Conference on Mathematical Software, ICMS 2018, held in South Bend, IN, USA, in July 2018.The 59 papers included in this volume were carefully reviewed and selected from numerous submissions. The program of the 2018 meeting consisted of 20 topical sessions, each of which providing an overview of the challenges, achievements and progress in a subeld of mathematical software research, development and use.
| Author | : Jules Bloomenthal |
| Publisher | : Morgan Kaufmann |
| Total Pages | : 360 |
| Release | : 1997-08 |
| Genre | : Computers |
| ISBN | : 9781558602335 |
Implicit surfaces offer special effects animators, graphic designers, CAD engineers, graphics students, and hobbyists a new range of capabilities for the modeling of complex geometric objects. In contrast to traditional parametric surfaces, implicit surfaces can easily describe smooth, intricate, and articulatable shapes. These powerful yet easily understood surfaces are finding use in a growing number of graphics applications. This comprehensive introduction develops the fundamental concepts and techniques of implicit surface modeling, rendering, and animating in terms accessible to anyone with a basic background in computer graphics. + provides a thorough overview of implicit surfaces with a focus on their applications in graphics + explains the best methods for designing, representing, and visualizing implicit surfaces + surveys the latest research With contributions from seven graphics authorities, this innovative guide establishes implicit surfaces as a powerful and practical tool for animation and rendering.
| Author | : Matt Pharr |
| Publisher | : Morgan Kaufmann |
| Total Pages | : 1201 |
| Release | : 2010-06-28 |
| Genre | : Computers |
| ISBN | : 0123750792 |
This updated edition describes both the mathematical theory behind a modern photorealistic rendering system as well as its practical implementation. Through the ideas and software in this book, designers will learn to design and employ a full-featured rendering system for creating stunning imagery. Includes a companion site complete with source code for the rendering system described in the book, with support for Windows, OS X, and Linux.
| Author | : Luiz Velho |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 203 |
| Release | : 2007-05-08 |
| Genre | : Computers |
| ISBN | : 0387216200 |
Implicit definition and description of geometric objects and surfaces plays a critical role in the appearance and manipulation of computer graphics. In addition, the mathematical definition of shapes, using an implicit form, has pivotal applications for geometric modeling, visualization and animation. Until recently, the parametric form has been by far the most popular geometric representation used in computer graphics and computer-aided design. Whereas parametric objects and the techniques associated with them have been exhaustively developed, the implicit form has been used as a complementary geometric representation, mainly in the restricted context of specific applications. However, recent developments in graphics are changing this situation, and the community is beginning to draw its attention to implicit objects. This is reflected in the current research of aspects related to this subject. Employing a coherent conceptual framework, Implicit Objects in Computer Graphics addresses the role of implicitly defined objects in the following parts: mathematical foundations of geometric models, implicit formulations for the specification of shapes, implicit primitives, techniques for constructing and manipulating implicit objects, modeling, rendering and animating implicit objects.
| Author | : Nicholas M. Patrikalakis |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 428 |
| Release | : 2002-02-14 |
| Genre | : Computers |
| ISBN | : 9783540424543 |
Shape interrogation is the process of extraction of information from a geometric model. It is a fundamental component of Computer Aided Design and Manufacturing (CAD/CAM) systems. The authors focus on shape interrogation of geometric models bounded by free-form surfaces. Free-form surfaces, also called sculptured surfaces, are widely used in the bodies of ships, automobiles and aircraft, which have both functionality and attractive shape requirements. Many electronic devices as well as consumer products are designed with aesthetic shapes, which involve free-form surfaces. This book provides the mathematical fundamentals as well as algorithms for various shape interrogation methods including nonlinear polynomial solvers, intersection problems, differential geometry of intersection curves, distance functions, curve and surface interrogation, umbilics and lines of curvature, geodesics, and offset curves and surfaces. This book will be of interest both to graduate students and professionals.
| Author | : Peter Sloot |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 1124 |
| Release | : 2003-05-22 |
| Genre | : Computers |
| ISBN | : 3540401946 |
The four-volume set LNCS 2657, LNCS 2658, LNCS 2659, and LNCS 2660 constitutes the refereed proceedings of the Third International Conference on Computational Science, ICCS 2003, held concurrently in Melbourne, Australia and in St. Petersburg, Russia in June 2003. The four volumes present more than 460 reviewed contributed and invited papers and span the whole range of computational science, from foundational issues in computer science and algorithmic mathematics to advanced applications in virtually all application fields making use of computational techniques. These proceedings give a unique account of recent results in the field.
| Author | : Robert E. Barnhill |
| Publisher | : SIAM |
| Total Pages | : 207 |
| Release | : 1992-01-01 |
| Genre | : Mathematics |
| ISBN | : 0898712807 |
This text includes papers covering topics in geometry processing applications, such as surface-surface intersections and offset surfaces. Present methods fundamental to geometric modelling are highlighted.
| Author | : Matt Pharr |
| Publisher | : MIT Press |
| Total Pages | : 1274 |
| Release | : 2023-05-30 |
| Genre | : Computers |
| ISBN | : 026237403X |
A comprehensive update of the leading-edge computer graphics textbook that sets the standard for physically-based rendering in the industry and the field, with new material on GPU ray tracing. Photorealistic computer graphics are ubiquitous in today’s world, widely used in movies and video games as well as product design and architecture. Physically-based approaches to rendering, where an accurate modeling of the physics of light scattering is at the heart of image synthesis, offer both visual realism and predictability. Now in a comprehensively updated new edition, this best-selling computer graphics textbook sets the standard for physically-based rendering in the industry and the field. Physically Based Rendering describes both the mathematical theory behind a modern photorealistic rendering system as well as its practical implementation. A method known as literate programming combines human-readable documentation and source code into a single reference that is specifically designed to aid comprehension. The book’s leading-edge algorithms, software, and ideas—including new material on GPU ray tracing—equip the reader to design and employ a full-featured rendering system capable of creating stunning imagery. This essential text represents the future of real-time graphics. Detailed and rigorous but accessible approach guides readers all the way from theory to practical software implementation Fourth edition features new chapter on GPU ray tracing essential for game developers The premier reference for professionals learning about and working in the field Won its authors a 2014 Academy Award for Scientific and Technical Achievement Includes a companion site complete with source code
| Author | : Tor Dokken |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 239 |
| Release | : 2006-05-24 |
| Genre | : Mathematics |
| ISBN | : 3540271570 |
This volume contains revised papers that were presented at the international workshop entitled Computational Methods for Algebraic Spline Surfaces (“COMPASS”), which was held from September 29 to October 3, 2003, at Schloß Weinberg, Kefermarkt (A- tria). The workshop was mainly devoted to approximate algebraic geometry and its - plications. The organizers wanted to emphasize the novel idea of approximate implici- zation, that has strengthened the existing link between CAD / CAGD (Computer Aided Geometric Design) and classical algebraic geometry. The existing methods for exact implicitization (i. e. , for conversion from the parametric to an implicit representation of a curve or surface) require exact arithmetic and are too slow and too expensive for industrial use. Thus the duality of an implicit representation and a parametric repres- tation is only used for low degree algebraic surfaces such as planes, spheres, cylinders, cones and toroidal surfaces. On the other hand, this duality is a very useful tool for - veloping ef?cient algorithms. Approximate implicitization makes this duality available for general curves and surfaces. The traditional exact implicitization of parametric surfaces produce global rep- sentations, which are exact everywhere. The surface patches used in CAD, however, are always de?ned within a small box only; they are obtained for a bounded parameter domain (typically a rectangle, or – in the case of “trimmed” surface patches – a subset of a rectangle). Consequently, a globally exact representation is not really needed in practice.
| Author | : Andrew S. Glassner |
| Publisher | : Elsevier |
| Total Pages | : 359 |
| Release | : 1989-06-01 |
| Genre | : Computers |
| ISBN | : 0080499058 |
The creation of ever more realistic 3-D images is central to the development of computer graphics. The ray tracing technique has become one of the most popular and powerful means by which photo-realistic images can now be created. The simplicity, elegance and ease of implementation makes ray tracing an essential part of understanding and exploiting state-of-the-art computer graphics.An Introduction to Ray Tracing develops from fundamental principles to advanced applications, providing "how-to" procedures as well as a detailed understanding of the scientific foundations of ray tracing. It is also richly illustrated with four-color and black-and-white plates. This is a book which will be welcomed by all concerned with modern computer graphics, image processing, and computer-aided design. - Provides practical "how-to" information - Contains high quality color plates of images created using ray tracing techniques - Progresses from a basic understanding to the advanced science and application of ray tracing
