Bézier And B Spline Techniques

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Bézier and B-Spline Techniques

Hartmut Prautzsch,Wolfgang Boehm,Marco Paluszny
B zier and B Spline Techniques Book PDF

Author : Hartmut Prautzsch,Wolfgang Boehm,Marco Paluszny
Publisher : Springer Science & Business Media
Page : 299 pages
File Size : 49,9 Mb
Release : 2013-04-17
Category : Computers
ISBN : 9783662049198

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Bézier and B-Spline Techniques by Hartmut Prautzsch,Wolfgang Boehm,Marco Paluszny Pdf

This book provides a solid and uniform derivation of the various properties Bezier and B-spline representations have, and shows the beauty of the underlying rich mathematical structure. The book focuses on the core concepts of Computer Aided Geometric Design and provides a clear and illustrative presentation of the basic principles, as well as a treatment of advanced material including multivariate splines, some subdivision techniques and constructions of free form surfaces with arbitrary smoothness. The text is beautifully illustrated with many excellent figures to emphasize the geometric constructive approach of this book.

Curves and Surfaces for Computer-aided Geometric Design

Gerald E. Farin
Curves and Surfaces for Computer aided Geometric Design Book PDF

Author : Gerald E. Farin
Publisher : Unknown
Page : 460 pages
File Size : 47,5 Mb
Release : 1997
Category : Computers
ISBN : UOM:39015040985619

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Curves and Surfaces for Computer-aided Geometric Design by Gerald E. Farin Pdf

Computer disk contains: "data sets, as well as all of the C routines found in the book."

Approximation and Modeling with B-Splines

Klaus Hollig,Jorg Horner
Approximation and Modeling with B Splines Book PDF

Author : Klaus Hollig,Jorg Horner
Publisher : SIAM
Page : 228 pages
File Size : 53,7 Mb
Release : 2015-07-01
Category : Mathematics
ISBN : 9781611972948

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Approximation and Modeling with B-Splines by Klaus Hollig,Jorg Horner Pdf

B-splines are fundamental to approximation and data fitting, geometric modeling, automated manufacturing, computer graphics, and numerical simulation. With an emphasis on key results and methods that are most widely used in practice, this textbook provides a unified introduction to the basic components of B-spline theory: approximation methods (mathematics), modeling techniques (engineering), and geometric algorithms (computer science). A supplemental Web site will provide a collection of problems, some with solutions, slides for use in lectures, and programs with demos.

An Introduction to Splines for Use in Computer Graphics and Geometric Modeling

Richard H. Bartels,John C. Beatty,Brian A. Barsky
An Introduction to Splines for Use in Computer Graphics and Geometric Modeling Book PDF

Author : Richard H. Bartels,John C. Beatty,Brian A. Barsky
Publisher : Morgan Kaufmann
Page : 504 pages
File Size : 55,5 Mb
Release : 1995-09
Category : Computers
ISBN : 1558604006

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An Introduction to Splines for Use in Computer Graphics and Geometric Modeling by Richard H. Bartels,John C. Beatty,Brian A. Barsky Pdf

As the field of computer graphics develops, techniques for modeling complex curves and surfaces are increasingly important. A major technique is the use of parametric splines in which a curve is defined by piecing together a succession of curve segments, and surfaces are defined by stitching together a mosaic of surface patches. An Introduction to Splines for Use in Computer Graphics and Geometric Modeling discusses the use of splines from the point of view of the computer scientist. Assuming only a background in beginning calculus, the authors present the material using many examples and illustrations with the goal of building the reader's intuition. Based on courses given at the University of California, Berkeley, and the University of Waterloo, as well as numerous ACM Siggraph tutorials, the book includes the most recent advances in computer-aided geometric modeling and design to make spline modeling techniques generally accessible to the computer graphics and geometric modeling communities.

Applied Optimization with MATLAB Programming

P. Venkataraman
Applied Optimization with MATLAB Programming Book PDF

Author : P. Venkataraman
Publisher : John Wiley & Sons
Page : 546 pages
File Size : 44,8 Mb
Release : 2009-03-23
Category : Technology & Engineering
ISBN : 9780470084885

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Applied Optimization with MATLAB Programming by P. Venkataraman Pdf

Technology/Engineering/Mechanical Provides all the tools needed to begin solving optimization problems using MATLAB® The Second Edition of Applied Optimization with MATLAB® Programming enables readers to harness all the features of MATLAB® to solve optimization problems using a variety of linear and nonlinear design optimization techniques. By breaking down complex mathematical concepts into simple ideas and offering plenty of easy-to-follow examples, this text is an ideal introduction to the field. Examples come from all engineering disciplines as well as science, economics, operations research, and mathematics, helping readers understand how to apply optimization techniques to solve actual problems. This Second Edition has been thoroughly revised, incorporating current optimization techniques as well as the improved MATLAB® tools. Two important new features of the text are: Introduction to the scan and zoom method, providing a simple, effective technique that works for unconstrained, constrained, and global optimization problems New chapter, Hybrid Mathematics: An Application, using examples to illustrate how optimization can develop analytical or explicit solutions to differential systems and data-fitting problems Each chapter ends with a set of problems that give readers an opportunity to put their new skills into practice. Almost all of the numerical techniques covered in the text are supported by MATLAB® code, which readers can download on the text's companion Web site www.wiley.com/go/venkat2e and use to begin solving problems on their own. This text is recommended for upper-level undergraduate and graduate students in all areas of engineering as well as other disciplines that use optimization techniques to solve design problems.

The NURBS Book

Les Piegl,Wayne Tiller
The NURBS Book Book PDF

Author : Les Piegl,Wayne Tiller
Publisher : Springer Science & Business Media
Page : 650 pages
File Size : 41,6 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642973857

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The NURBS Book by Les Piegl,Wayne Tiller Pdf

Until recently B-spline curves and surfaces (NURBS) were principally of interest to the computer aided design community, where they have become the standard for curve and surface description. Today we are seeing expanded use of NURBS in modeling objects for the visual arts, including the film and entertainment industries, art, and sculpture. NURBS are now also being used for modeling scenes for virtual reality applications. These applications are expected to increase. Consequently, it is quite appropriate for The.N'U'R-BS Book to be part of the Monographs in Visual Communication Series. B-spline curves and surfaces have been an enduring element throughout my pro fessional life. The first edition of Mathematical Elements for Computer Graphics, published in 1972, was the first computer aided design/interactive computer graph ics textbook to contain material on B-splines. That material was obtained through the good graces of Bill Gordon and Louie Knapp while they were at Syracuse University. A paper of mine, presented during the Summer of 1977 at a Society of Naval Architects and Marine Engineers meeting on computer aided ship surface design, was arguably the first to examine the use of B-spline curves for ship design. For many, B-splines, rational B-splines, and NURBS have been a bit mysterious.

An Integrated Introduction to Computer Graphics and Geometric Modeling

Ronald Goldman
An Integrated Introduction to Computer Graphics and Geometric Modeling Book PDF

Author : Ronald Goldman
Publisher : CRC Press
Page : 592 pages
File Size : 40,8 Mb
Release : 2009-07-14
Category : Computers
ISBN : 9781439803356

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An Integrated Introduction to Computer Graphics and Geometric Modeling by Ronald Goldman Pdf

Taking a novel, more appealing approach than current texts, An Integrated Introduction to Computer Graphics and Geometric Modeling focuses on graphics, modeling, and mathematical methods, including ray tracing, polygon shading, radiosity, fractals, freeform curves and surfaces, vector methods, and transformation techniques. The author begins with f

Knot Insertion and Deletion Algorithms for B-Spline Curves and Surfaces

Ronald N. Goldman,Tom Lyche
Knot Insertion and Deletion Algorithms for B Spline Curves and Surfaces Book PDF

Author : Ronald N. Goldman,Tom Lyche
Publisher : SIAM
Page : 204 pages
File Size : 51,7 Mb
Release : 1993-01-01
Category : Mathematics
ISBN : 9780898713060

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Knot Insertion and Deletion Algorithms for B-Spline Curves and Surfaces by Ronald N. Goldman,Tom Lyche Pdf

New approaches in knot insertion and deletion to understanding, analyzing, and rendering B-spline curves and surfaces.

A Blossoming Development of Splines

Stephen Mann
A Blossoming Development of Splines Book PDF

Author : Stephen Mann
Publisher : Morgan & Claypool Publishers
Page : 108 pages
File Size : 48,8 Mb
Release : 2006-12-01
Category : Technology & Engineering
ISBN : 9781598291179

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A Blossoming Development of Splines by Stephen Mann Pdf

In this lecture, we study Bézier and B-spline curves and surfaces, mathematical representations for free-form curves and surfaces that are common in CAD systems and are used to design aircraft and automobiles, as well as in modeling packages used by the computer animation industry. Bézier/B-splines represent polynomials and piecewise polynomials in a geometric manner using sets of control points that define the shape of the surface. The primary analysis tool used in this lecture is blossoming, which gives an elegant labeling of the control points that allows us to analyze their properties geometrically. Blossoming is used to explore both Bézier and B-spline curves, and in particular to investigate continuity properties, change of basis algorithms, forward differencing, B-spline knot multiplicity, and knot insertion algorithms. We also look at triangle diagrams (which are closely related to blossoming), direct manipulation of B-spline curves, NURBS curves, and triangular and tensor product surfaces.

Computer Aided Geometric Design

Robert E. Barnhill,Richard F. Riesenfeld
Computer Aided Geometric Design Book PDF

Author : Robert E. Barnhill,Richard F. Riesenfeld
Publisher : Academic Press
Page : 337 pages
File Size : 43,9 Mb
Release : 2014-05-10
Category : Technology & Engineering
ISBN : 9781483268484

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Computer Aided Geometric Design by Robert E. Barnhill,Richard F. Riesenfeld Pdf

Computer Aided Geometric Design covers the proceedings of the First International Conference on Computer Aided Geometric Design, held at the University of Utah on March 18-21, 1974. This book is composed of 15 chapters and starts with reviews of the properties of surface patch equation and the use of computers in geometrical design. The next chapters deal with the principles of smooth interpolation over triangles and without twist constraints, as well as the graphical representation of surfaces over triangles and rectangles. These topics are followed by discussions of the B-spline curves and surfaces; mathematical and practical possibilities of UNISURF; nonlinear splines; and some piecewise polynomial alternatives to splines under tension. Other chapters explore the smooth parametric surfaces, the space curve as a folded edge, and the interactive computer graphics application of the parametric bi-cubic surface to engineering design problems. The final chapters look into the three-dimensional human-machine communication and a class of local interpolating splines. This book will prove useful to design engineers.

Curves and Surfaces for Computer Graphics

David Salomon
Curves and Surfaces for Computer Graphics Book PDF

Author : David Salomon
Publisher : Springer Science & Business Media
Page : 466 pages
File Size : 41,9 Mb
Release : 2007-03-20
Category : Computers
ISBN : 9780387284521

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Curves and Surfaces for Computer Graphics by David Salomon Pdf

Requires only a basic knowledge of mathematics and is geared toward the general educated specialists. Includes a gallery of color images and Mathematica code listings.

Computational Geometry and Its Applications

Hartmut Noltemeier
Computational Geometry and Its Applications Book PDF

Author : Hartmut Noltemeier
Publisher : Springer Science & Business Media
Page : 264 pages
File Size : 44,5 Mb
Release : 1988-10-12
Category : Computers
ISBN : 3540503358

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Computational Geometry and Its Applications by Hartmut Noltemeier Pdf

The International Workshop CG '88 on "Computational Geometry" was held at the University of Würzburg, FRG, March 24-25, 1988. As the interest in the fascinating field of Computational Geometry and its Applications has grown very quickly in recent years the organizers felt the need to have a workshop, where a suitable number of invited participants could concentrate their efforts in this field to cover a broad spectrum of topics and to communicate in a stimulating atmosphere. This workshop was attended by some fifty invited scientists. The scientific program consisted of 22 contributions, of which 18 papers with one additional paper (M. Reichling) are contained in the present volume. The contributions covered important areas not only of fundamental aspects of Computational Geometry but a lot of interesting and most promising applications: Algorithmic Aspects of Geometry, Arrangements, Nearest-Neighbor-Problems and Abstract Voronoi-Diagrams, Data Structures for Geometric Objects, Geo-Relational Algebra, Geometric Modeling, Clustering and Visualizing Geometric Objects, Finite Element Methods, Triangulating in Parallel, Animation and Ray Tracing, Robotics: Motion Planning, Collision Avoidance, Visibility, Smooth Surfaces, Basic Models of Geometric Computations, Automatizing Geometric Proofs and Constructions.

Bézier and Splines in Image Processing and Machine Vision

Sambhunath Biswas,Brian C. Lovell
B zier and Splines in Image Processing and Machine Vision Book PDF

Author : Sambhunath Biswas,Brian C. Lovell
Publisher : Springer Science & Business Media
Page : 250 pages
File Size : 46,9 Mb
Release : 2007-12-20
Category : Computers
ISBN : 9781846289576

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Bézier and Splines in Image Processing and Machine Vision by Sambhunath Biswas,Brian C. Lovell Pdf

This book deals with various image processing and machine vision problems efficiently with splines and includes: the significance of Bernstein Polynomial in splines, detailed coverage of Beta-splines applications which are relatively new, Splines in motion tracking, various deformative models and their uses. Finally the book covers wavelet splines which are efficient and effective in different image applications.

An Introduction to NURBS

David F. Rogers
An Introduction to NURBS Book PDF

Author : David F. Rogers
Publisher : Morgan Kaufmann
Page : 344 pages
File Size : 40,5 Mb
Release : 2001
Category : Computers
ISBN : 9781558606692

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An Introduction to NURBS by David F. Rogers Pdf

NURBS (Non-uniform Rational B-Splines) are the computer graphics industry standard for curve and surface description. They are now incorporated into all standard computer-aided design and drafting programs (for instance, Autocad). They are also extensively used in all aspects of computer graphics including much of the modeling used for special effects in film and animation, consumer products, robot control, and automobile and aircraft design. So, the topic is particularly important at this time because NURBS are really at the peak of interest as applied to computer graphics and CAD of all kind.

Handbook of Computer Aided Geometric Design

G. Farin,J. Hoschek,M.-S. Kim
Handbook of Computer Aided Geometric Design Book PDF

Author : G. Farin,J. Hoschek,M.-S. Kim
Publisher : Elsevier
Page : 849 pages
File Size : 53,5 Mb
Release : 2002-08-13
Category : Computers
ISBN : 9780444511041

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Handbook of Computer Aided Geometric Design by G. Farin,J. Hoschek,M.-S. Kim Pdf

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.