Computer Graphics And Geometric Modeling Using Beta Splines
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Computer Graphics And Geometric Modeling Using Beta Splines
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Author : Brian A. Barsky
language : en
Publisher: Springer
Release Date : 2013-12-20
Computer Graphics And Geometric Modeling Using Beta Splines written by Brian A. Barsky and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-20 with Computers categories.
An Introduction To Splines For Use In Computer Graphics And Geometric Modeling
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Author : Richard H. Bartels
language : en
Publisher: Morgan Kaufmann
Release Date : 1995-09
An Introduction To Splines For Use In Computer Graphics And Geometric Modeling written by Richard H. Bartels and has been published by Morgan Kaufmann this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09 with Computers categories.
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.
Geometric Modeling
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Author : Hans Hagen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Geometric Modeling written by Hans Hagen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
This book is based on lectures presented at an international workshop on geometric modeling held at Hewlett Packard GmbH in Boblingen, FRG, in June 1990. International experts from academia and industry were selected to speak on the most interesting topics in geometric modeling. The resulting papers, published in this volume, give a state-of-the-art survey of the relevant problems and issues. The following topics are discussed: - Methods for constructing surfaces on surfaces: four different solutions to the multidimen sional problem of constructing an interpolant from surface data are provided. - Surfaces in solid modeling: current results on the implementation of free-fonn solids in three well established solid models are reviewed. - Box splines and applications: an introduction to box spline methods for the representation of surfaces is given. Basic properties of box splines are derived, and refinement and evaluation methods for box splines are presented in detail. Shape preserving properties, the construction of non-rectangular box spline surfaces, applications to surface modeling, and imbedding problems, are discussed. - Advanced computer graphics techniques for volume visualization: the steps to be executed in the visualization process of volume data are described and tools are discussed that assist in handling this data. - Rational B-splines: an introduction to the representation of curves and surfaces using rational B-splines is given, together with a critical evaluation of their potential for industrial application.
Curves And Surfaces In Geometric Modeling
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Author : Jean H. Gallier
language : en
Publisher: Morgan Kaufmann
Release Date : 2000
Curves And Surfaces In Geometric Modeling written by Jean H. Gallier and has been published by Morgan Kaufmann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Computers categories.
"Curves and Surfaces in Geometric Modeling: Theory and Algorithms offers a theoretically unifying understanding of polynomial curves and surfaces as well as an effective approach to implementation that you can apply to your own work as a graduate student, scientist, or practitioner." "The focus here is on blossoming - the process of converting a polynomial to its polar form - as a natural, purely geometric explanation of the behavior of curves and surfaces. This insight is important for more than just its theoretical elegance - the author demonstrates the value of blossoming as a practical algorithmic tool for generating and manipulating curves and surfaces that meet many different criteria. You'll learn to use this and other related techniques drawn from affine geometry for computing and adjusting control points, deriving the continuity conditions for splines, creating subdivision surfaces, and more." "It will be an essential acquisition for readers in many different areas, including computer graphics and animation, robotics, virtual reality, geometric modeling and design, medical imaging, computer vision, and motion planning."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved
Computer Graphics And Geometric Modelling
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Author : Max K. Agoston
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-01-04
Computer Graphics And Geometric Modelling written by Max K. Agoston and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-04 with Computers categories.
Possibly the most comprehensive overview of computer graphics as seen in the context of geometric modeling, this two-volume work covers implementation and theory in a thorough and systematic fashion. It covers the computer graphics part of the field of geometric modeling and includes all the standard computer graphics topics. The CD-ROM features two companion programs.
Computer Graphics And Geometric Modeling
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Author : David Salomon
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Computer Graphics And Geometric Modeling written by David Salomon and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
A book for those interested in how modern graphics programs work and how they can generate realistic-looking objects. It emphasises the mathematics behind computer graphics, most of which is included in an appendix. The main topics covered are: scan conversion methods; selecting the best pixels for generating lines, circles and other objects; geometric transformations and projections; translations, rotations, moving in 3D, perspective projections, curves and surfaces; construction, wire-frames, rendering, normals; CRTs, antialiasing, animation, colour, perception, polygons, compression. With its numerous illustrative examples and exercises, the book is ideal for a two-semester course for advanced undergraduates or graduates, while also making a fine reference for professionals in the field.
Curves And Surfaces For Computer Aided Geometric Design
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Author : Gerald E. Farin
language : en
Publisher:
Release Date : 1997
Curves And Surfaces For Computer Aided Geometric Design written by Gerald E. Farin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Computers categories.
Computer disk contains: "data sets, as well as all of the C routines found in the book."
Approximation And Modeling With B Splines
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Author : Klaus Hollig
language : en
Publisher: SIAM
Release Date : 2015-07-01
Approximation And Modeling With B Splines written by Klaus Hollig and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-01 with Mathematics categories.
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.
Interactive Curve Modeling
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Author : Muhammad Sarfraz
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-24
Interactive Curve Modeling written by Muhammad Sarfraz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-24 with Computers categories.
This book covers Curve Modeling with solutions to real life problems relating to Computer Graphics, Vision, Image Processing, Geometric Modeling and CAD/CAM. Chapters deal with basic concepts, curve design techniques and their use to various applications and a wide range of problems with their automated solutions through computers. The book provides an invaluable resource which focuses on interdisciplinary methods and affiliates up-to-date methodologies. It aims to stimulate provide a source where the reader can find the latest developments in the field including a variety of techniques, applications, and systems necessary for solving real life problems.
A Blossoming Development Of Splines
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Author : Stephen Mann
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2006-12-01
A Blossoming Development Of Splines written by Stephen Mann and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-01 with Technology & Engineering categories.
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.