Search Results for "subdivision-surfaces-geometry-and-computing"

Subdivision Surfaces

Subdivision Surfaces

  • Author: Jörg Peters,Ulrich Reif
  • Publisher: Springer Science & Business Media
  • ISBN: 3540764062
  • Category: Mathematics
  • Page: 204
  • View: 2733
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Since their first appearance in 1974, subdivision algorithms for generating surfaces of arbitrary topology have gained widespread popularity in computer graphics and are being evaluated in engineering applications. This development was complemented by ongoing efforts to develop appropriate mathematical tools for a thorough analysis, and today, many of the fascinating properties of subdivision are well understood. This book summarizes the current knowledge on the subject. It contains both meanwhile classical results as well as brand-new, unpublished material, such as a new framework for constructing C^2-algorithms. The focus of the book is on the development of a comprehensive mathematical theory, and less on algorithmic aspects. It is intended to serve researchers and engineers - both new to the beauty of the subject - as well as experts, academic teachers and graduate students or, in short, anybody who is interested in the foundations of this flourishing branch of applied geometry.

Curves and Surfaces

Curves and Surfaces

7th International Conference, Avignon, France, June 24-30, 2010, Revised Selected Papers

  • Author: Jean-Daniel Boissonnat,Patrick Chenin,Albert Cohen,Christian Gout,Tom Lyche,Marie-Laurence Mazure,Larry Schumaker
  • Publisher: Springer
  • ISBN: 3642274137
  • Category: Computers
  • Page: 748
  • View: 8816
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This volume constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Curves and Surfaces, held in Avignon, in June 2010. The conference had the overall theme: "Representation and Approximation of Curves and Surfaces and Applications". The 39 revised full papers presented together with 9 invited talks were carefully reviewed and selected from 114 talks presented at the conference. The topics addressed by the papers range from mathematical foundations to practical implementation on modern graphics processing units and address a wide area of topics such as computer-aided geometric design, computer graphics and visualisation, computational geometry and topology, geometry processing, image and signal processing, interpolation and smoothing, scattered data processing and learning theory and subdivision, wavelets and multi-resolution methods.

Mathematical Methods for Curves and Surfaces

Mathematical Methods for Curves and Surfaces

8th International Conference, MMCS 2012, Oslo, Norway, June 28 - July 3, 2012, Revised Selected Papers

  • Author: Michael Floater,Tom Lyche,Marie-Laurence Mazure,Knut Morken,Larry L. Schumaker
  • Publisher: Springer
  • ISBN: 3642543820
  • Category: Computers
  • Page: 511
  • View: 4234
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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.

Geometric and Algorithmic Aspects of Computer-aided Design and Manufacturing

Geometric and Algorithmic Aspects of Computer-aided Design and Manufacturing

DIMACS Workshop Computer Aided Design and Manufacturing, October 7-9, 2003, Piscataway, New Jersey

  • Author: Ravi Janardan,Michiel Smid,Debasish Dutta
  • Publisher: American Mathematical Soc.
  • ISBN: 9780821871096
  • Category: Mathematics
  • Page: 345
  • View: 2311
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Subdivision Surface Modeling Technology

Subdivision Surface Modeling Technology

  • Author: Wenhe Liao,Hao Liu,Tao Li
  • Publisher: Springer
  • ISBN: 9811035156
  • Category: Computers
  • Page: 307
  • View: 2786
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This book offers a comprehensive introduction to Subdivision Surface Modeling Technology focusing not only on fundamental theories but also on practical applications. It furthers readers’ understanding of the contacts between spline surfaces and subdivision surfaces, enabling them to master the Subdivision Surface Modeling Technology for analyzing subdivision surfaces. Subdivision surface modeling is a popular technology in the field of computer aided design (CAD) and computer graphics (CG) thanks to its ability to model meshes of any topology. The book also discusses some typical Subdivision Surface Modeling Technologies, such as interpolation, fitting, fairing, intersection, as well as trimming and interactive editing. It is a valuable tool, enabling readers to grasp the main technologies of subdivision surface modeling and use them in software development, which in turn leads to a better understanding of CAD/CG software operations.

Curves and Surfaces in Geometric Modeling

Curves and Surfaces in Geometric Modeling

Theory and Algorithms

  • Author: Jean H. Gallier
  • Publisher: Morgan Kaufmann
  • ISBN: 9781558605992
  • Category: Computers
  • Page: 491
  • View: 1628
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"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

Issues in Computer Programming: 2011 Edition

Issues in Computer Programming: 2011 Edition

  • Author: N.A
  • Publisher: ScholarlyEditions
  • ISBN: 1464967024
  • Category: Computers
  • Page: 314
  • View: 9801
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Issues in Computer Programming / 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Computer Programming. The editors have built Issues in Computer Programming: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Computer Programming in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Computer Programming: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Introduction to the Mathematics of Subdivision Surfaces

Introduction to the Mathematics of Subdivision Surfaces

  • Author: Lars-Erik Andersson,Neil F. Stewart
  • Publisher: SIAM
  • ISBN: 0898716977
  • Category: Mathematics
  • Page: 356
  • View: 2763
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This is an introduction to the mathematical theory which underlies subdivision surfaces, as it is used in computer graphics and animation. Subdivision surfaces enable a designer to specify the approximate form of a surface that defines an object and then to refine it to get a more useful or attractive version. A considerable amount of mathematical theory is needed to understand the characteristics of the resulting surfaces, and this book explains the material carefully and rigorously. The text is highly accessible, organising subdivision methods in a unique and unambiguous hierarchy which builds insight and understanding. The material is not restricted to questions related to regularity of subdivision surfaces at so-called extraordinary points, but gives a broad discussion of the various methods. It is therefore an excellent preparation for more advanced texts that delve more deeply into special questions of regularity.

Acta Numerica 2002:

Acta Numerica 2002:

  • Author: Arieh Iserles
  • Publisher: Cambridge University Press
  • ISBN: 9780521818766
  • Category: Mathematics
  • Page: 590
  • View: 5670
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An annual volume presenting substantive survey articles in numerical mathematics and scientific computing.

Guide to Computational Geometry Processing

Guide to Computational Geometry Processing

Foundations, Algorithms, and Methods

  • Author: J. Andreas Bærentzen,Jens Gravesen,François Anton,Henrik Aanæs
  • Publisher: Springer Science & Business Media
  • ISBN: 1447140753
  • Category: Computers
  • Page: 326
  • View: 3962
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This book reviews the algorithms for processing geometric data, with a practical focus on important techniques not covered by traditional courses on computer vision and computer graphics. Features: presents an overview of the underlying mathematical theory, covering vector spaces, metric space, affine spaces, differential geometry, and finite difference methods for derivatives and differential equations; reviews geometry representations, including polygonal meshes, splines, and subdivision surfaces; examines techniques for computing curvature from polygonal meshes; describes algorithms for mesh smoothing, mesh parametrization, and mesh optimization and simplification; discusses point location databases and convex hulls of point sets; investigates the reconstruction of triangle meshes from point clouds, including methods for registration of point clouds and surface reconstruction; provides additional material at a supplementary website; includes self-study exercises throughout the text.

Discrete Geometry for Computer Imagery

Discrete Geometry for Computer Imagery

12th International Conference, DGCI 2005, Poitiers, France, April 11-13, 2005, Proceedings

  • Author: Eric Andres,Guillaume Damiand
  • Publisher: Springer Science & Business Media
  • ISBN: 3540255133
  • Category: Computers
  • Page: 428
  • View: 538
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This book constitutes the refereed proceedings of the 12th International Conference on Discrete Geometry for Computer Imagery, DGCI 2005, held in Poitiers, France in April 2005. The 36 revised full papers presented together with an invited paper were carefully reviewed and selected from 53 submissions. The papers are organized in topical sections on applications, discrete hierarchical geometry, discrete tomography, discrete topology, object properties, reconstruction and recognition, uncertain geometry, and visualization.

Handbook of Computer Aided Geometric Design

Handbook of Computer Aided Geometric Design

  • Author: Gerald E. Farin,Josef Hoschek,Myung-Soo Kim
  • Publisher: Elsevier
  • ISBN: 0444511040
  • Category: Computers
  • Page: 820
  • View: 9834
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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.

Discrete Geometry for Computer Imagery

Discrete Geometry for Computer Imagery

8th International Conference, DGCI'99, Marne-la-Vallee, France, March 17-19, 1999 Proceedings

  • Author: Gilles Bertrand,Michel Couprie,Laurent Perroton
  • Publisher: Springer Science & Business Media
  • ISBN: 3540656855
  • Category: Mathematics
  • Page: 462
  • View: 3422
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These proceedings contain papers presented at the 8th Discrete Geometry for Computer Imagery conference, held 17-19, March 1999 at ESIEE, Marne-la- Vall ee. The domains of discrete geometry and computer imagery are closely related. Discrete geometry provides both theoretical and algorithmic models for the p- cessing, analysis and synthesis of images; in return computer imagery, in its variety of applications, constitutes a remarkable experimentational eld and is a source of challenging problems. The number of returning participants, the arrival each year of contributions from new laboratories and new researchers, as well as the quality and originality of the results have contributed to the success of the conference and are an - dication of the dynamism of this eld. The DGCI has become one of the major conferences related to this topic, including participating researchers and la- ratories from all over the world. Of the 41 papers received this year, 24 have been selected for presentation and 7 for poster sessions. In addition to these, four invited speakers have contributed to the conference. The site of Marne-la-Vall ee, just 20 min away from Paris, is particularly we- suited to hold the conference. Indeed, as a newly built city, it showcases a great amount of modern creative architecture, whose pure lines and original shapes o er a favorable context for the topic of Geometry.

Mathematics of Surfaces

Mathematics of Surfaces

10th IMA International Conference, Leeds, UK, September 15-17, 2003, Proceedings

  • Author: England) Ima Conference on the Mathematics of Surfaces 2003 (Leeds,Michael J. Wilson,IMA International Conference on the Mathematics of Surfaces (10 : 2003 : Leeds)
  • Publisher: Springer Science & Business Media
  • ISBN: 3540200533
  • Category: Computers
  • Page: 391
  • View: 2346
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This book constitutes the refereed proceedings of the 10th IMA International Conference on the Mathematics of Surfaces, held in Leeds, UK in September 2003. The 25 revised full papers presented were carefully reviewed and selected from numerous submissions. Among the topics addressed are triangulated surface parameterization, bifurcation structures, control vertex computation, polyhedral surfaces, watermarking 3D polygonal meshed, subdivision surfaces, surface reconstruction, vector transport, shape from shading, surface height recovery, algebraic surfaces, box splines, the Plateau-Bezier problem, spline geometry, generative geometry, manifold representation, affine arithmetic, and PDE surfaces.

Mathematics of Surfaces XII

Mathematics of Surfaces XII

12th IMA International Conference, Sheffield, UK, September 4-6, 2007, Proceedings

  • Author: Ralph Martin,Malcolm Sabin
  • Publisher: Springer Science & Business Media
  • ISBN: 3540738428
  • Category: Computers
  • Page: 507
  • View: 2083
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This book constitutes the refereed proceedings of the 12th IMA International Conference on the Mathematics of Surfaces, held in Sheffield, UK in September 2007. The 22 revised full papers presented together with 8 invited papers were carefully reviewed and selected from numerous submissions. Among the topics addressed is the applicability of various aspects of mathematics to engineering and computer science, especially in domains such as computer aided design, computer vision, and computer graphics. The papers cover a range of ideas from underlying theoretical tools to industrial uses of surfaces. Research is reported on theoretical aspects of surfaces including topology, parameterization, differential geometry, and conformal geometry, and also more practical topics such as geometric tolerances, computing shape from shading, and medial axes for industrial applications. Other specific areas of interest include subdivision schemes, solutions of differential equations on surfaces, knot insertion, surface segmentation, surface deformation, and surface fitting.

Proceedings

Proceedings

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Computer graphics
  • Page: N.A
  • View: 1137
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Subdivision Methods for Geometric Design

Subdivision Methods for Geometric Design

A Constructive Approach

  • Author: Joseph D. Warren,Henrik Weimer
  • Publisher: Morgan Kaufmann
  • ISBN: 9781558604469
  • Category: Computers
  • Page: 299
  • View: 2606
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Subdivision 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

An Integrated Introduction to Computer Graphics and Geometric Modeling

An Integrated Introduction to Computer Graphics and Geometric Modeling

  • Author: Ronald Goldman
  • Publisher: CRC Press
  • ISBN: 1439803358
  • Category: Computers
  • Page: 574
  • View: 9569
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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 fractals, rather than the typical line-drawing algorithms found in many standard texts. He also brings the turtle back from obscurity to introduce several major concepts in computer graphics. Supplying the mathematical foundations, the book covers linear algebra topics, such as vector geometry and algebra, affine and projective spaces, affine maps, projective transformations, matrices, and quaternions. The main graphics areas explored include reflection and refraction, recursive ray tracing, radiosity, illumination models, polygon shading, and hidden surface procedures. The book also discusses geometric modeling, including planes, polygons, spheres, quadrics, algebraic and parametric curves and surfaces, constructive solid geometry, boundary files, octrees, interpolation, approximation, Bezier and B-spline methods, fractal algorithms, and subdivision techniques. Making the material accessible and relevant for years to come, the text avoids descriptions of current graphics hardware and special programming languages. Instead, it presents graphics algorithms based on well-established physical models of light and cogent mathematical methods.

Computational Science and Its Applications - ICCSA 2003

Computational Science and Its Applications - ICCSA 2003

International Conference, Montreal, Canada, May 18-21, 2003, Proceedings

  • Author: ICCSA,ICCSA 2003 (2003 : Montréal, Quebec)
  • Publisher: Springer Science & Business Media
  • ISBN: 3540401563
  • Category: Computers
  • Page: 948
  • View: 1298
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The three-volume set, LNCS 2667, LNCS 2668, and LNCS 2669, constitutes the refereed proceedings of the International Conference on Computational Science and Its Applications, ICCSA 2003, held in Montreal, Canada, in May 2003. The three volumes present more than 300 papers and span the whole range of computational science from foundational issues in computer science and mathematics to advanced applications in virtually all sciences making use of computational techniques. The proceedings give a unique account of recent results in computational science.

Discrete Geometry for Computer Imagery

Discrete Geometry for Computer Imagery

18th IAPR International Conference, DGCI 2014, Siena, Italy, September 10-12, 2014. Proceedings

  • Author: Elena Barcucci,Andrea Frosini,Simone Rinaldi
  • Publisher: Springer
  • ISBN: 3319099558
  • Category: Computers
  • Page: 423
  • View: 1957
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This book constitutes the thoroughly refereed proceedings of the 18th International Conference on Discrete Geometry for Computer Imagery, DGCI 2014, held in Siena, Italy, September 2014. The 34 revised full papers presented were carefully selected from 60 submissions. The papers are organized in topical sections on Models for Discrete Geometry, Discrete and Combinatorial Topology, Geometric Transforms, Discrete Shape Representation, Recognition and Analysis, Discrete Tomography, Morphological Analysis, Discrete Modelling and Visualization, Discrete and Combinatorial Tools for Image Segmentation and Analysis.