Subdivision Methods for Geometric Design: A Constructive ApproachSubdivision 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. The only book devoted exclusively to subdivision techniques Covers practical topics including uniform Bezier and B-Spline curves, polyhedral meshes, Catmull-Clark subdivision for quad meshes and objects with sharp creases and pointed vertices A companion website provides example code and concept implementations of subdivision concepts in an interactive Mathematica environment |
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Continguts
Functions as Fractals | 1 |
An Integral Approach to Uniform Subdivision | 27 |
69 | 39 |
Convergence Analysis for Uniform Subdivision Schemes | 62 |
A Differential Approach to Uniform Subdivision | 91 |
Local Approximation of Global Differential Schemes | 120 |
99 | 230 |
Spectral Analysis at an Extraordinary Vertex | 239 |
| 276 | |
| 280 | |
| 287 | |
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Subdivision Methods for Geometric Design: A Constructive Approach Joe Warren,Henrik Weimer Previsualització limitada - 2001 |
Frases i termes més freqüents
affine transformations algorithm analysis applying approach approximation associated averaging B-splines basis function behavior bounded box splines Chapter characteristic map coefficients column combination compute condition consider consists constant construct continuous converge corresponding cubic splines curve defined definition derivative difference differential equation direction discrete edges eigenvalues eigenvectors entries equation exact example expressed extraordinary vertex Figure finite flow follows four function n[x geometric Given grid initial inner product integral interpolation interval limit limit functions limit surfaces linear mask s[x mesh method multiplying Note observation operator origin particular piecewise plot points polygon polynomial position powers problem proof quad recurrence refinement regular relation resulting rows satisfies scaling function sequence shape shows simple smooth solutions splines subdivision mask subdivision matrix subdivision rules subdivision scheme surface Theorem tion topological transformations translates triangle uniform valence values vector vertices weighted yields zero
Passatges populars
Pàgina 278 - Banded matrices with banded inverses II: Locally finite decomposition of spline spaces, Constructive Approximation 9 (1993), 263-282.
Pàgina 281 - Multiresolution Analysis for Surfaces of Arbitrary Topological Type," ACM Transactions on Graphics 16(1), pp.
Pàgina 276 - ... the new material. Then, however, this non-conventional method might be even better suited for solving the given problem of deformation than any real material may be. Nevertheless, a task of further work is to design and implement methods of deformation derived from physical laws. References [1] Alfeld, P.: Scattered data interpolation in three or more variables.
Referències a aquest llibre
Physically Based Rendering: From Theory to Implementation Matt Pharr,Greg Humphreys Previsualització limitada - 2004 |
Digital Modeling of Material Appearance Julie Dorsey,Holly E. Rushmeier,François X. Sillion Previsualització no disponible - 2008 |
Informació bibliogràfica
| Títol | Subdivision Methods for Geometric Design: A Constructive Approach Morgan Kaufmann series in computer graphics and geometric modeling, ISSN 1046-235X The Morgan Kaufmann Ser. in Computer Graphics Series |
| Autors | Joe Warren, Joseph D. Warren, Henrik Weimer |
| Edició | il·lustrada |
| Editor | Morgan Kaufmann, 2002 |
| ISBN | 1558604464, 9781558604469 |
| Nre. de pàgines | 299 pàgines |
| Exporta citacions | BiBTeX EndNote RefMan |