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Author : Peter Lancaster,Kȩstutis Šalkauskas
Publisher : Unknown
Page : 296 pages
File Size : 54,8 Mb
Release : 1986
Category : Curve fitting
ISBN : UCSD:31822032992059
The purpose of this book is to reveal the foundations and major features of several basic methods for curve and surface fitting that are currently in use.
Author : Vanderbilt University Staff,Christophe Rabut,Rabut
Publisher : Unknown
Page : 0 pages
File Size : 50,6 Mb
Release : 2000-07-31
Category : Electronic
ISBN : 0826513581
Two new volumes of carefully refereed and edited papers on the most current developments in the theory and applications of curves and surfaces. These two volumes contain a selection of papers presented at the Saint-Malo Conference on Approximation Theory in July 1999. Each contains several invited survey papers written by experts in the field, along with contributed research papers. They will be of great interest to mathematicians, engineers, and computer scientists working in the fields of Approximation Theory, Computer-Aided Geometric Design (CAGD), Computer Graphics, Numerical Analysis, CAD/CAM, and application areas. Curve and Surface Design includes the following topics: B-bases canal surfaces conics curvature discrete fairing free form surfaces G2-splines highlight lines involute curves multisided patches NURBs and NURPs offsets ray tracing ruled surfaces sculptured surfaces segmentation methods shape preservation texture voronoi diagrams
Author : Peter Lancaster
Publisher : Unknown
Page : 0 pages
File Size : 47,8 Mb
Release : 1986
Category : Curve fitting
ISBN : OCLC:961257555
Author : Paul Dierckx
Publisher : Oxford University Press
Page : 308 pages
File Size : 54,8 Mb
Release : 1995
Category : Computers
ISBN : 019853440X
The fitting of a curve or surface through a set of observational data is a very frequent problem in different disciplines (mathematics, engineering, medicine, ...) with many interesting applications. This book describes the algorithms and mathematical fundamentals of a widely used software package for data fitting with (tensor product) splines. As such it gives a survey of possibilities and benefits but also of the problems to cope with when approximating with this popular type of function. In particular it is demonstrated in detail how the properties of B-splines can be fully exploited for improving the computational efficiency and for incorporating different boundary or shape preserving constraints. Special attention is also paid to strategies for an automatic and adaptive knot selection with intent to obtain serious data reductions. The practical use of the smoothing software is illustrated with many examples, academic as well as taken from real life.
Author : Hans Hagen
Publisher : SIAM
Page : 213 pages
File Size : 46,8 Mb
Release : 1992-01-01
Category : Mathematics
ISBN : 1611971659
This collection of ideas and results on topics of curve and surface design is intended for research in the academic environment as well as for practical use in industrial applications. Main emphasis is on minimal energy splines and geometric spline curves, and on techniques beyond tensor product surfaces.
Author : Nickolas S. Sapidis
Publisher : SIAM
Page : 316 pages
File Size : 43,6 Mb
Release : 1994-01-01
Category : Computers
ISBN : 9780898713329
The authors define fairness mathematically, demonstrate how newly developed curve and surface schemes guarantee fairness, and assist the user in identifying and removing shape aberrations in a surface model without destroying the principal shape characteristics of the model. A valuable resource for engineers working in CAD, CAM, or computer-aided engineering.
Author : Fujio Yamaguchi
Publisher : Springer Science & Business Media
Page : 389 pages
File Size : 43,5 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642489525
This book contains various types of mathematical descriptions of curves and surfaces, such as Ferguson, Coons, Spline, Bézier and B-spline curves and surfaces. The materials are classified and arranged in a unified way so that beginners can easily understand the whole spectrum of parametric curves and surfaces. This book will be useful to many researchers, designers, teachers, and students who are working on curves and surfaces. The book can be used as a textbook in computer aided design classes.
Author : Albert Cohen,Jean-Louis Merrien,Larry L. Schumaker
Publisher : Unknown
Page : 285 pages
File Size : 48,9 Mb
Release : 2007
Category : Computer graphics
ISBN : 0972848282
Author : Hans Hagen
Publisher : SIAM
Page : 205 pages
File Size : 55,8 Mb
Release : 1992-01-01
Category : Mathematics
ISBN : 9780898712810
This collection of ideas and results on topics of curve and surface design is intended for research in the academic environment as well as for practical use in industrial applications. Main emphasis is on minimal energy splines and geometric spline curves, and on techniques beyond tensor product surfaces.
Author : Patrick Chenin,Tom Lyche,Larry L. Schumaker
Publisher : Unknown
Page : 283 pages
File Size : 42,5 Mb
Release : 2007
Category : Computer graphics
ISBN : 0972848274
Author : Albert Cohen,Christophe Rabut,Larry L. Schumaker
Publisher : Unknown
Page : 452 pages
File Size : 55,8 Mb
Release : 2000
Category : Computers
ISBN : UOM:39015050131666
Two new volumes of carefully refereed and edited papers on the most current developments in the theory and applications of curves and surfaces. These two volumes contain a selection of papers presented at the Saint-Malo Conference on Approximation Theory in July 1999. Each contains several invited survey papers written by experts in the field, along with contributed research papers. They will be of great interest to mathematicians, engineers, and computer scientists working in the fields of Approximation Theory, Computer-Aided Geometric Design (CAGD), Computer Graphics, Numerical Analysis, CAD/CAM, and application areas. Curve and Surface Design includes the following topics: B-bases canal surfaces conics curvature discrete fairing free form surfaces G2-splines highlight lines involute curves multisided patches NURBs and NURPs offsets ray tracing ruled surfaces sculptured surfaces segmentation methods shape preservation texture voronoi diagrams
Author : Paul Dierckx
Publisher : Unknown
Page : 128 pages
File Size : 45,9 Mb
Release : 1995
Category : Curve fitting
ISBN : OCLC:1109276087
Author : Richard Boyle,Bahram Parvin,Darko Koracin,Nikos Paragios,Syeda-Mahmood Tanveer,Tao Ju,Zicheng Liu,Sabine Coquillart,Carolina Cruz-Neira,Torsten Möller,Tom Malzbender
Publisher : Springer
Page : 834 pages
File Size : 55,5 Mb
Release : 2007-11-22
Category : Computers
ISBN : 9783540768586
The two volume set LNCS 4841 and LNCS 4842 constitutes the refereed proceedings of the Third International Symposium on Visual Computing, ISVC 2007, held in Lake Tahoe, NV, USA, in November 2007. The 77 revised full papers and 42 poster papers presented together with 32 full and five poster papers of six special tracks were carefully reviewed and selected. The papers cover the four main areas of visual computing: vision, graphics, visualization, and virtual reality.
Author : Gerald Farin
Publisher : Elsevier
Page : 498 pages
File Size : 42,8 Mb
Release : 2014-06-28
Category : Mathematics
ISBN : 9781483296999
A leading expert in CAGD, Gerald Farin covers the representation, manipulation, and evaluation of geometric shapes in this the Third Edition of Curves and Surfaces for Computer Aided Geometric Design. The book offers an introduction to the field that emphasizes Bernstein-Bezier methods and presents subjects in an informal, readable style, making this an ideal text for an introductory course at the advanced undergraduate or graduate level. The Third Edition includes a new chapter on Topology, offers new exercises and sections within most chapters, combines the material on Geometric Continuity into one chapter, and updates existing materials and references. Implementation techniques are addressed for practitioners by the inclusion of new C programs for many of the fundamental algorithms. The C programs are available on a disk included with the text. System Requirements: IBM PC or compatibles, DOS version 2.0 or higher. Covers representation, manipulation, and evaluation of geometric shapes Emphasizes Bernstein-Bezier methods Written in an informal, easy-to-read style
Author : Przemysław Kiciak
Publisher : Springer Nature
Page : 233 pages
File Size : 46,8 Mb
Release : 2022-05-31
Category : Mathematics
ISBN : 9783031025907
This book is written for students, CAD system users and software developers who are interested in geometric continuity—a notion needed in everyday practice of Computer-Aided Design and also a hot subject of research. It contains a description of the classical geometric spline curves and a solid theoretical basis for various constructions of smooth surfaces. Textbooks on computer graphics usually cover the most basic and necessary information about spline curves and surfaces in order to explain simple algorithms. In textbooks on geometric design, one can find more details, more algorithms and more theory. This book teaches how various parts of the theory can be gathered together and turned into constructions of smooth curves and smooth surfaces of arbitrary topology. The mathematical background needed to understand this book is similar to what is necessary to read other textbooks on geometric design; most of it is basic linear algebra and analysis. More advanced mathematical material is introduced using elementary explanations. Reading Geometric Continuity of Curves and Surfaces provides an excellent opportunity to recall and exercise necessary mathematical notions and it may be your next step towards better practice and higher understanding of design principles.
