Subdivision Methods For Geometric Design PDF Download
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Author | : Joe Warren |
Publisher | : Morgan Kaufmann |
Total Pages | : 326 |
Release | : 2002 |
Genre | : Art |
ISBN | : 9781558604469 |
Download Subdivision Methods for Geometric Design Book in PDF, ePub and Kindle
Subdivision Methods for Geometric Design provides computer graphics students and designers with a comprehensive guide to subdivision methods, including the background information required to grasp underlying concepts, techniques for manipulating subdivision algorithms to achieve specific effects, and a wide array of digital resources on a dynamic companion Web site. Subdivision Methods promises to be a groundbreaking book, important for both advanced students and working professionals in the field of computer graphics.
Author | : Charles Chui |
Publisher | : CRC Press |
Total Pages | : 236 |
Release | : 2010-08-23 |
Genre | : Computers |
ISBN | : 1000687295 |
Download Wavelet Subdivision Methods Book in PDF, ePub and Kindle
Prevalent in animation movies and interactive games, subdivision methods allow users to design and implement simple but efficient schemes for rendering curves and surfaces. Adding to the current subdivision toolbox, Wavelet Subdivision Methods: GEMS for Rendering Curves and Surfaces introduces geometry editing and manipulation schemes (GEMS) and co
Author | : Tom Lyche |
Publisher | : Academic Press |
Total Pages | : 632 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483257800 |
Download Mathematical Methods in Computer Aided Geometric Design Book in PDF, ePub and Kindle
Mathematical Methods in Computer Aided Geometric Design covers the proceedings of the 1988 International Conference by the same title, held at the University of Oslo, Norway. This text contains papers based on the survey lectures, along with 33 full-length research papers. This book is composed of 39 chapters and begins with surveys of scattered data interpolation, spline elastic manifolds, geometry processing, the properties of Bézier curves, and Gröbner basis methods for multivariate splines. The next chapters deal with the principles of box splines, smooth piecewise quadric surfaces, some applications of hierarchical segmentations of algebraic curves, nonlinear parameters of splines, and algebraic aspects of geometric continuity. These topics are followed by discussions of shape preserving representations, box-spline surfaces, subdivision algorithm parallelization, interpolation systems, and the finite element method. Other chapters explore the concept and applications of uniform bivariate hermite interpolation, an algorithm for smooth interpolation, and the three B-spline constructions. The concluding chapters consider the three B-spline constructions, design tools for shaping spline models, approximation of surfaces constrained by a differential equation, and a general subdivision theorem for Bézier triangles. This book will prove useful to mathematicians and advance mathematics students.
Author | : Lars-Erik Andersson |
Publisher | : SIAM |
Total Pages | : 373 |
Release | : 2010-01-01 |
Genre | : Mathematics |
ISBN | : 0898717612 |
Download Introduction to the Mathematics of Subdivision Surfaces Book in PDF, ePub and Kindle
This is an introduction to the mathematical theory which underlies subdivision surfaces, as it is used in computer graphics and animation. Subdivision surfaces enable a designer to specify the approximate form of a surface that defines an object and then to refine it to get a more useful or attractive version. A considerable amount of mathematical theory is needed to understand the characteristics of the resulting surfaces, and this book explains the material carefully and rigorously. The text is highly accessible, organising subdivision methods in a unique and unambiguous hierarchy which builds insight and understanding. The material is not restricted to questions related to regularity of subdivision surfaces at so-called extraordinary points, but gives a broad discussion of the various methods. It is therefore an excellent preparation for more advanced texts that delve more deeply into special questions of regularity.
Author | : G. Farin |
Publisher | : Elsevier |
Total Pages | : 849 |
Release | : 2002-08-13 |
Genre | : Computers |
ISBN | : 0444511040 |
Download Handbook of Computer Aided Geometric Design Book in PDF, ePub and Kindle
This book provides a comprehensive coverage of the fields Geometric Modeling, Computer-Aided Design, and Scientific Visualization, or Computer-Aided Geometric Design. Leading international experts have contributed, thus creating a one-of-a-kind collection of authoritative articles. There are chapters outlining basic theory in tutorial style, as well as application-oriented articles. Aspects which are covered include: Historical outline Curve and surface methods Scientific Visualization Implicit methods Reverse engineering. This book is meant to be a reference text for researchers in the field as well as an introduction to graduate students wishing to get some exposure to this subject.
Author | : Wenhe Liao |
Publisher | : Springer |
Total Pages | : 317 |
Release | : 2017-10-11 |
Genre | : Computers |
ISBN | : 9811035156 |
Download Subdivision Surface Modeling Technology Book in PDF, ePub and Kindle
This book offers a comprehensive introduction to Subdivision Surface Modeling Technology focusing not only on fundamental theories but also on practical applications. It furthers readers’ understanding of the contacts between spline surfaces and subdivision surfaces, enabling them to master the Subdivision Surface Modeling Technology for analyzing subdivision surfaces. Subdivision surface modeling is a popular technology in the field of computer aided design (CAD) and computer graphics (CG) thanks to its ability to model meshes of any topology. The book also discusses some typical Subdivision Surface Modeling Technologies, such as interpolation, fitting, fairing, intersection, as well as trimming and interactive editing. It is a valuable tool, enabling readers to grasp the main technologies of subdivision surface modeling and use them in software development, which in turn leads to a better understanding of CAD/CG software operations.
Author | : Tom Lyche |
Publisher | : Academic Press |
Total Pages | : 649 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483257983 |
Download Mathematical Methods in Computer Aided Geometric Design II Book in PDF, ePub and Kindle
Mathematical Methods in Computer Aided Geometric Design II covers the proceedings of the 1991 International Conference on Curves, Surfaces, CAGD, and Image Processing, held at Biri, Norway. This book contains 48 chapters that include the topics of blossoming, cyclides, data fitting and interpolation, and finding intersections of curves and surfaces. Considerable chapters explore the geometric continuity, geometrical optics, image and signal processing, and modeling of geological structures. The remaining chapters discuss the principles of multiresolution analysis, NURBS, offsets, radial basis functions, rational splines, robotics, spline and Bézier methods for curve and surface modeling, subdivision, terrain modeling, and wavelets. This book will prove useful to mathematicians, computer scientists, and advance mathematics students.
Author | : Malcolm Sabin |
Publisher | : Springer Science & Business Media |
Total Pages | : 212 |
Release | : 2010-08-16 |
Genre | : Mathematics |
ISBN | : 3642136486 |
Download Analysis and Design of Univariate Subdivision Schemes Book in PDF, ePub and Kindle
‘Subdivision’ is a way of representing smooth shapes in a computer. A curve or surface (both of which contain an in?nite number of points) is described in terms of two objects. One object is a sequence of vertices, which we visualise as a polygon, for curves, or a network of vertices, which we visualise by drawing the edges or faces of the network, for surfaces. The other object is a set of rules for making denser sequences or networks. When applied repeatedly, the denser and denser sequences are claimed to converge to a limit, which is the curve or surface that we want to represent. This book focusses on curves, because the theory for that is complete enough that a book claiming that our understanding is complete is exactly what is needed to stimulate research proving that claim wrong. Also because there are already a number of good books on subdivision surfaces. The way in which the limit curve relates to the polygon, and a lot of interesting properties of the limit curve, depend on the set of rules, and this book is about how one can deduce those properties from the set of rules, and how one can then use that understanding to construct rules which give the properties that one wants.
Author | : Jörg Peters |
Publisher | : Springer Science & Business Media |
Total Pages | : 212 |
Release | : 2008-05-07 |
Genre | : Computers |
ISBN | : 3540764054 |
Download Subdivision Surfaces Book in PDF, ePub and Kindle
Since their first appearance in 1974, subdivision algorithms for generating surfaces of arbitrary topology have gained widespread popularity in computer graphics and are being evaluated in engineering applications. This development was complemented by ongoing efforts to develop appropriate mathematical tools for a thorough analysis, and today, many of the fascinating properties of subdivision are well understood. This book summarizes the current knowledge on the subject. The focus of the book is on the development of a comprehensive mathematical theory, and less on algorithmic aspects. It is intended to serve researchers and engineers - both new to the beauty of the subject - as well as experts, academic teachers and graduate students or, in short, anybody who is interested in the foundations of this flourishing branch of applied geometry.
Author | : Alfred S. Cavaretta |
Publisher | : American Mathematical Soc. |
Total Pages | : 197 |
Release | : 1991 |
Genre | : Algorithms |
ISBN | : 0821825070 |
Download Stationary Subdivision Book in PDF, ePub and Kindle
This monograph presents a systematic development of the basic mathematical principles and concepts associated with stationary subdivision algorithms which are used for generating curves and surfaces in computer graphics. Special attention is given to the structure of such algorithms in a multidimensional settings, and the convergence issue is analyzed using appropriate tools from Fourier analysis and functional analysis.