Shape Preserving Parametric Representation Of Curves With Local Control For Computer Aided Geometric Design

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Mathematical Methods in Computer Aided Geometric Design

Author : Tom Lyche
Publisher : Academic Press
ISBN 13 : 1483257800
Total Pages : 632 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Mathematical Methods in Computer Aided Geometric Design by : Tom Lyche

Download or read book Mathematical Methods in Computer Aided Geometric Design written by Tom Lyche and published by Academic Press. This book was released on 2014-05-10 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Shape Preserving Representations in Computer-aided Geometric Design

Author : Juan M. Peña
Publisher : Nova Publishers
ISBN 13 : 9781560726913
Total Pages : 258 pages
Book Rating : 4.7/5 (269 download)

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Book Synopsis Shape Preserving Representations in Computer-aided Geometric Design by : Juan M. Peña

Download or read book Shape Preserving Representations in Computer-aided Geometric Design written by Juan M. Peña and published by Nova Publishers. This book was released on 1999 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents recent important advances in the field of computer-aided geometric design in the study of shape-preserving representations of curves and surfaces. The volume's dozen papers are organized into five sections on: shape preserving representations of curves, optimality of B-bases, blossoming and geometric approach, shape preserving representations of surfaces, and trigonometric bases for the representation of curves and surfaces. The index spans the admissible (in design algorithms for spline curves) to the weak Chebyshev space and system. Contributors hail from six European countries. Annotation copyrighted by Book News, Inc., Portland, OR

Construction of Smooth Curves and Surfaces from Polyhedral Models

Author : Leon A. Shirman
Publisher :
ISBN 13 :
Total Pages : 516 pages
Book Rating : 4.:/5 (33 download)

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Book Synopsis Construction of Smooth Curves and Surfaces from Polyhedral Models by : Leon A. Shirman

Download or read book Construction of Smooth Curves and Surfaces from Polyhedral Models written by Leon A. Shirman and published by . This book was released on 1990 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simplicity of the surface representation is important for rendering efficiency. Therefore, a method was developed that replaces the Gregory patches used in the original implementation by polynomial quadrilateral and triangular Bezier patches.

Interactive Curve Modeling

Author : Muhammad Sarfraz
Publisher : Springer Science & Business Media
ISBN 13 : 1846288711
Total Pages : 350 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Interactive Curve Modeling by : Muhammad Sarfraz

Download or read book Interactive Curve Modeling written by Muhammad Sarfraz and published by Springer Science & Business Media. This book was released on 2007-10-24 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Communicating with Virtual Worlds

Author : Nadia Magnenat Thalmann
Publisher : Springer Science & Business Media
ISBN 13 : 4431684565
Total Pages : 615 pages
Book Rating : 4.4/5 (316 download)

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Book Synopsis Communicating with Virtual Worlds by : Nadia Magnenat Thalmann

Download or read book Communicating with Virtual Worlds written by Nadia Magnenat Thalmann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of COMPUTER GRAPHICS INTERNATIONAL '93 (COl '93), the Eleventh International Conference of the Computer Graphics Society (CGS), COl '93 has been held in Lausanne, Switzerland from June 21-25,1993 under the theme Communicating with Virtual Worlds. Since its foundation in 1983, COl conference has continued to attract high qUality research articles in all aspects of computer graphics and its applications. Previous conferences in this series were held in Japan (1983-1987), in Switzerland (1988), in the United Kingdom (1989), in Singapore (1990), in the United States (1991), and in Japan (1992). Future CG International conferences are planned in Australia (1994), and in the United Kingdom (1995). COS also organizes each year Computer Animation in Geneva, an international workshop and Computer Generated Film Festival. Two new CGS events are planned in 1993: Pacific Graphics '93 in Seoul and MMM '93, an International Conference on Multi-Media MOdeling in Singapore.

Mathematical Methods in Computer Aided Geometric Design II

Author : Tom Lyche
Publisher : Academic Press
ISBN 13 : 1483257983
Total Pages : 649 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Mathematical Methods in Computer Aided Geometric Design II by : Tom Lyche

Download or read book Mathematical Methods in Computer Aided Geometric Design II written by Tom Lyche and published by Academic Press. This book was released on 2014-05-10 with total page 649 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Report

Author :
Publisher :
ISBN 13 :
Total Pages : 942 pages
Book Rating : 4.:/5 (35 download)

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Book Synopsis Report by :

Download or read book Report written by and published by . This book was released on 1988 with total page 942 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Curves and Surfaces for Computer-aided Geometric Design

Author : Gerald E. Farin
Publisher :
ISBN 13 :
Total Pages : 460 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Curves and Surfaces for Computer-aided Geometric Design by : Gerald E. Farin

Download or read book Curves and Surfaces for Computer-aided Geometric Design written by Gerald E. Farin and published by . This book was released on 1997 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer disk contains: "data sets, as well as all of the C routines found in the book."

Topics in Splines and Applications

Author : Young Kinh-Nhue Truong
Publisher : BoD – Books on Demand
ISBN 13 : 1789232503
Total Pages : 162 pages
Book Rating : 4.7/5 (892 download)

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Book Synopsis Topics in Splines and Applications by : Young Kinh-Nhue Truong

Download or read book Topics in Splines and Applications written by Young Kinh-Nhue Truong and published by BoD – Books on Demand. This book was released on 2018-06-06 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Splines provide a significant tool for the design of computationally economical curves and surfaces for the construction of various objects like automobiles, ship hulls, airplane fuselages and wings, propeller blades, shoe insoles, bottles, etc. It also contributes in the description of geological, physical, statistical, and even medical phenomena. Spline methods have proven to be indispensable in a variety of modern industries, including computer vision, robotics, signal and image processing, visualization, textile, graphic designs, and even media. This book aims to provide a valuable source on splines and their applications. It focuses on collecting and disseminating information in various disciplines including computer-aided geometric design, computer graphics, data visualization, data fitting, power systems, clinical and epidemiologic studies, disease detection, regression curves, social media, and biological studies. The book is useful for researchers, scientists, practitioners, and many others who seek state-of-the-art techniques and applications using splines. It is also useful for undergraduate senior students as well as graduate students in the areas of computer science, engineering, health science, statistics, and mathematics. Each chapter also provides useful information on software developments and their extensions.

Shape Interrogation for Computer Aided Design and Manufacturing

Author : Nicholas M. Patrikalakis
Publisher : Springer Science & Business Media
ISBN 13 : 9783540424543
Total Pages : 428 pages
Book Rating : 4.4/5 (245 download)

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Book Synopsis Shape Interrogation for Computer Aided Design and Manufacturing by : Nicholas M. Patrikalakis

Download or read book Shape Interrogation for Computer Aided Design and Manufacturing written by Nicholas M. Patrikalakis and published by Springer Science & Business Media. This book was released on 2002-02-14 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shape interrogation is the process of extraction of information from a geometric model. It is a fundamental component of Computer Aided Design and Manufacturing (CAD/CAM) systems. The authors focus on shape interrogation of geometric models bounded by free-form surfaces. Free-form surfaces, also called sculptured surfaces, are widely used in the bodies of ships, automobiles and aircraft, which have both functionality and attractive shape requirements. Many electronic devices as well as consumer products are designed with aesthetic shapes, which involve free-form surfaces. This book provides the mathematical fundamentals as well as algorithms for various shape interrogation methods including nonlinear polynomial solvers, intersection problems, differential geometry of intersection curves, distance functions, curve and surface interrogation, umbilics and lines of curvature, geodesics, and offset curves and surfaces. This book will be of interest both to graduate students and professionals.

Handbook of Computer Aided Geometric Design

Author : G. Farin
Publisher : Elsevier
ISBN 13 : 0444511040
Total Pages : 849 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Handbook of Computer Aided Geometric Design by : G. Farin

Download or read book Handbook of Computer Aided Geometric Design written by G. Farin and published by Elsevier. This book was released on 2002-08-13 with total page 849 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Geometric Modelling

Author : R. Albrecht
Publisher : Springer Science & Business Media
ISBN 13 : 3709175844
Total Pages : 360 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Geometric Modelling by : R. Albrecht

Download or read book Geometric Modelling written by R. Albrecht and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Experts from university and industry are presenting new technologies for solving industrial problems and giving many important and practicable impulses for new research. Topics explored include NURBS, product engineering, object oriented modelling, solid modelling, surface interrogation, feature modelling, variational design, scattered data algorithms, geometry processing, blending methods, smoothing and fairing algorithms, spline conversion. This collection of 24 articles gives a state-of-the-art survey of the relevant problems and issues in geometric modelling.

Computer Aided Geometric Design

Author : Robert E. Barnhill
Publisher : Academic Press
ISBN 13 : 1483268489
Total Pages : 337 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Computer Aided Geometric Design by : Robert E. Barnhill

Download or read book Computer Aided Geometric Design written by Robert E. Barnhill and published by Academic Press. This book was released on 2014-05-10 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Methods for Curves and Surfaces

Author : Michael Floater
Publisher : Springer
ISBN 13 : 3642543820
Total Pages : 519 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Mathematical Methods for Curves and Surfaces by : Michael Floater

Download or read book Mathematical Methods for Curves and Surfaces written by Michael Floater and published by Springer. This book was released on 2014-02-03 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the thoroughly refereed post-conference proceedings of the 8th International Conference on Mathematical Methods for Curves and Surfaces, MMCS 2012, held in Oslo, Norway, in June/July 2012. The 28 revised full papers presented were carefully reviewed and selected from 135 submissions. The topics range from mathematical analysis of various methods to practical implementation on modern graphics processing units. The papers reflect the newest developments in these fields and also point to the latest literature.

Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable

Author : Rida T Farouki
Publisher : Springer Science & Business Media
ISBN 13 : 3540733973
Total Pages : 725 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable by : Rida T Farouki

Download or read book Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable written by Rida T Farouki and published by Springer Science & Business Media. This book was released on 2007-10-11 with total page 725 pages. Available in PDF, EPUB and Kindle. Book excerpt: By virtue of their special algebraic structures, Pythagorean-hodograph (PH) curves offer unique advantages for computer-aided design and manufacturing, robotics, motion control, path planning, computer graphics, animation, and related fields. This book offers a comprehensive and self-contained treatment of the mathematical theory of PH curves, including algorithms for their construction and examples of their practical applications. It emphasizes the interplay of ideas from algebra and geometry and their historical origins and includes many figures, worked examples, and detailed algorithm descriptions.

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 652 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Curves and Surfaces in CAGD '89

Author : Robert E. Barnhill
Publisher : North Holland
ISBN 13 :
Total Pages : 396 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Curves and Surfaces in CAGD '89 by : Robert E. Barnhill

Download or read book Curves and Surfaces in CAGD '89 written by Robert E. Barnhill and published by North Holland. This book was released on 1990 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical foundation of free form surface representations and constructions is an emerging field covering many interesting research problems and numerous important applications. This book contains selected presentations from the CAGD Conference at Oberwolfach, with new developments of mathematical methods and efficient algorithms for the representation of curves and surfaces. The contributions focus on the following topics: rational splines, scattered data interpolation, multivariate splines, interpolating with geometric constraints, algorithms for graphic representations.