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The Mathematics of Surfaces IX

Roberto Cipolla
The Mathematics of Surfaces IX Book PDF

Author : Roberto Cipolla
Publisher : Springer Science & Business Media
Page : 520 pages
File Size : 53,6 Mb
Release : 2000
Category : Mathematics
ISBN : STANFORD:36105120948174

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The Mathematics of Surfaces IX by Roberto Cipolla Pdf

This book contains the Proceedings of the Ninth Mathematics of Surfaces Conference organised by the Institute of Mathematics and its Applications, and held in Cambridge, UK, on 4th - 6th September 2000. The papers describe the mathematical construction, representation, approximation, recognition, and manipulation of surfaces, with an emphasis on computational methods. Highlights include invited papers from M. Floater (SNTEF, Norway), O. Faugeras (INRIA, France), P. Giblin (Liverpool University, UK), M.-S. Kim (Seoul National University, Korea), J. Koenderink (University of Utrecht, Netherlands), N. Patrikalakis (MIT, USA), H. Pottmann (Technical University of Vienna, Austria) and R. Schaback (University of Göttingen, Germany).

The Mathematics of Surfaces IX

Roberto Cipolla,Ralph Martin
The Mathematics of Surfaces IX Book PDF

Author : Roberto Cipolla,Ralph Martin
Publisher : Springer Science & Business Media
Page : 510 pages
File Size : 45,5 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781447104957

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The Mathematics of Surfaces IX by Roberto Cipolla,Ralph Martin Pdf

These proceedings collect the papers accepted for presentation at the bien nial IMA Conference on the Mathematics of Surfaces, held in the University of Cambridge, 4-7 September 2000. While there are many international con ferences in this fruitful borderland of mathematics, computer graphics and engineering, this is the oldest, the most frequent and the only one to concen trate on surfaces. Contributors to this volume come from twelve different countries in Eu rope, North America and Asia. Their contributions reflect the wide diversity of present-day applications which include modelling parts of the human body for medical purposes as well as the production of cars, aircraft and engineer ing components. Some applications involve design or construction of surfaces by interpolating or approximating data given at points or on curves. Others consider the problem of 'reverse engineering'-giving a mathematical descrip tion of an already constructed object. We are particularly grateful to Pamela Bye (at the Institue of Mathemat ics and its Applications) for help in making arrangements; Stephanie Harding and Karen Barker (at Springer Verlag, London) for publishing this volume and to Kwan-Yee Kenneth Wong (Cambridge) for his heroic help with com piling the proceedings and for dealing with numerous technicalities arising from large and numerous computer files. Following this Preface is a listing of the programme committee who with the help of their colleagues did much work in refereeing the papers for these proceedings.

The Mathematics of Surfaces IX

Roberto Cipolla,Ralph Martin
The Mathematics of Surfaces IX Book PDF

Author : Roberto Cipolla,Ralph Martin
Publisher : Springer
Page : 500 pages
File Size : 40,6 Mb
Release : 2012-02-06
Category : Mathematics
ISBN : 144710496X

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The Mathematics of Surfaces IX by Roberto Cipolla,Ralph Martin Pdf

These proceedings collect the papers accepted for presentation at the bien nial IMA Conference on the Mathematics of Surfaces, held in the University of Cambridge, 4-7 September 2000. While there are many international con ferences in this fruitful borderland of mathematics, computer graphics and engineering, this is the oldest, the most frequent and the only one to concen trate on surfaces. Contributors to this volume come from twelve different countries in Eu rope, North America and Asia. Their contributions reflect the wide diversity of present-day applications which include modelling parts of the human body for medical purposes as well as the production of cars, aircraft and engineer ing components. Some applications involve design or construction of surfaces by interpolating or approximating data given at points or on curves. Others consider the problem of 'reverse engineering'-giving a mathematical descrip tion of an already constructed object. We are particularly grateful to Pamela Bye (at the Institue of Mathemat ics and its Applications) for help in making arrangements; Stephanie Harding and Karen Barker (at Springer Verlag, London) for publishing this volume and to Kwan-Yee Kenneth Wong (Cambridge) for his heroic help with com piling the proceedings and for dealing with numerous technicalities arising from large and numerous computer files. Following this Preface is a listing of the programme committee who with the help of their colleagues did much work in refereeing the papers for these proceedings.

Mathematics of Surfaces

Michael J. Wilson,Ralph R. Martin
Mathematics of Surfaces Book PDF

Author : Michael J. Wilson,Ralph R. Martin
Publisher : Springer
Page : 400 pages
File Size : 44,8 Mb
Release : 2003-11-03
Category : Mathematics
ISBN : 9783540394228

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Mathematics of Surfaces by Michael J. Wilson,Ralph R. Martin Pdf

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.

Complex Algebraic Surfaces

Arnaud Beauville
Complex Algebraic Surfaces Book PDF

Author : Arnaud Beauville
Publisher : Cambridge University Press
Page : 148 pages
File Size : 53,9 Mb
Release : 1996-06-28
Category : Mathematics
ISBN : 0521498422

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Complex Algebraic Surfaces by Arnaud Beauville Pdf

Developed over more than a century, and still an active area of research today, the classification of algebraic surfaces is an intricate and fascinating branch of mathematics. In this book Professor BeauviIle gives a lucid and concise account of the subject, following the strategy of F. Enriques, but expressed simply in the language of modern topology and sheaf theory, so as to be accessible to any budding geometer. This volume is self contained and the exercises succeed both in giving the flavour of the extraordinary wealth of examples in the classical subject, and in equipping the reader with most of the techniques needed for research.

Mathematics of Surfaces XII

Ralph Martin,Malcolm Sabin,Joab Winkler
Mathematics of Surfaces XII Book PDF

Author : Ralph Martin,Malcolm Sabin,Joab Winkler
Publisher : Springer
Page : 514 pages
File Size : 44,5 Mb
Release : 2007-08-28
Category : Computers
ISBN : 9783540738435

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Mathematics of Surfaces XII by Ralph Martin,Malcolm Sabin,Joab Winkler Pdf

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 papers cover a range of ideas from underlying theoretical tools to industrial uses of surfaces. Research is reported on theoretical aspects of surfaces as well as more practical topics.

Mathematics of Surfaces XI

Malcolm Sabin,Ralph Martin,Helmut Bez
Mathematics of Surfaces XI Book PDF

Author : Malcolm Sabin,Ralph Martin,Helmut Bez
Publisher : Springer
Page : 481 pages
File Size : 48,5 Mb
Release : 2005-10-03
Category : Computers
ISBN : 9783540318354

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Mathematics of Surfaces XI by Malcolm Sabin,Ralph Martin,Helmut Bez Pdf

This book constitutes the refereed proceedings of the 11th IMA International Conference on the Mathematics of Surfaces, held in Loughborough, UK in September 2005. The 28 revised full papers presented were carefully reviewed and selected from numerous submissions. Among the topics addressed are Voronoi diagrams, linear systems, curvatures on meshes, approximate parameterization, condition numbers, pythagorean hodographs, artifacts in B-spline surfaces, Bézier surfaces of minimal energy, line subdivision, subdivision surfaces, level sets and symmetry, the topology of algebraic surfaces, embedding graphs in manifolds, recovery of 3D shape from shading, finding optimal feedrates for machining, and improving of range data.

Mathematical Methods for Curves and Surfaces

Michael Floater,Tom Lyche,Marie-Laurence Mazure,Knut Mørken,Larry L. Schumaker
Mathematical Methods for Curves and Surfaces Book PDF

Author : Michael Floater,Tom Lyche,Marie-Laurence Mazure,Knut Mørken,Larry L. Schumaker
Publisher : Springer
Page : 325 pages
File Size : 41,8 Mb
Release : 2017-10-17
Category : Computers
ISBN : 9783319678856

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Mathematical Methods for Curves and Surfaces by Michael Floater,Tom Lyche,Marie-Laurence Mazure,Knut Mørken,Larry L. Schumaker Pdf

This volume constitutes the thoroughly refereed post-conference proceedings of the 9th International Conference on Mathematical Methods for Curves and Surfaces, MMCS 2016, held in Tønsberg, Norway, in June 2016. The 17 revised full papers presented were carefully reviewed and selected from 115 submissions. The topics range from mathematical theory to industrial applications.

Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms

Abel Gomes,Irina Voiculescu,Joaquim Jorge,Brian Wyvill,Callum Galbraith
Implicit Curves and Surfaces Mathematics Data Structures and Algorithms Book PDF

Author : Abel Gomes,Irina Voiculescu,Joaquim Jorge,Brian Wyvill,Callum Galbraith
Publisher : Springer Science & Business Media
Page : 351 pages
File Size : 42,7 Mb
Release : 2009-05-12
Category : Computers
ISBN : 9781848824065

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Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms by Abel Gomes,Irina Voiculescu,Joaquim Jorge,Brian Wyvill,Callum Galbraith Pdf

Implicit objects have gained increasing importance in geometric modeling, visualisation, animation, and computer graphics, because their geometric properties provide a good alternative to traditional parametric objects. This book presents the mathematics, computational methods and data structures, as well as the algorithms needed to render implicit curves and surfaces, and shows how implicit objects can easily describe smooth, intricate, and articulatable shapes, and hence why they are being increasingly used in graphical applications. Divided into two parts, the first introduces the mathematics of implicit curves and surfaces, as well as the data structures suited to store their sampled or discrete approximations, and the second deals with different computational methods for sampling implicit curves and surfaces, with particular reference to how these are applied to functions in 2D and 3D spaces.

Mathematics of Surfaces XIII

Edwin R. Hancock,Ralph R. Martin,Malcolm A. Sabin
Mathematics of Surfaces XIII Book PDF

Author : Edwin R. Hancock,Ralph R. Martin,Malcolm A. Sabin
Publisher : Springer
Page : 409 pages
File Size : 48,7 Mb
Release : 2009-08-27
Category : Computers
ISBN : 9783642035968

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Mathematics of Surfaces XIII by Edwin R. Hancock,Ralph R. Martin,Malcolm A. Sabin Pdf

This book constitutes the refereed proceedings of the 13th IMA International Conference on the Mathematics of Surfaces held in York, UK in September 2009. The papers in the present volume include seven invited papers, as well as 16 submitted papers. The topics covered include subdivision schemes and their continuity, polar patchworks, compressive algorithms for PDEs, surface invariant functions, swept volume parameterization, Willmore flow, computational conformal geometry, heat kernel embeddings, and self-organizing maps on manifolds, mesh and manifold construction, editing, flattening, morphing and interrogation, dissection of planar shapes, symmetry processing, morphable models, computation of isophotes, point membership classification and vertex blends. Surface types considered encompass polygon meshes as well as parametric and implicit surfaces.

Mostly Surfaces

Richard Evan Schwartz
Mostly Surfaces Book PDF

Author : Richard Evan Schwartz
Publisher : American Mathematical Soc.
Page : 330 pages
File Size : 50,5 Mb
Release : 2011
Category : Mathematics
ISBN : 9780821853689

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Mostly Surfaces by Richard Evan Schwartz Pdf

The goal of the book is to present a tapestry of ideas from various areas of mathematics in a clear and rigorous yet informal and friendly way. Prerequisites include undergraduate courses in real analysis and in linear algebra, and some knowledge of complex analysis. --from publisher description.

Curves and Surfaces

Jean-Daniel Boissonnat,Patrick Chenin,Albert Cohen,Christian Gout,Tom Lyche,Marie-Laurence Mazure,Larry Schumaker
Curves and Surfaces Book PDF

Author : Jean-Daniel Boissonnat,Patrick Chenin,Albert Cohen,Christian Gout,Tom Lyche,Marie-Laurence Mazure,Larry Schumaker
Publisher : Springer
Page : 758 pages
File Size : 42,8 Mb
Release : 2012-01-06
Category : Computers
ISBN : 9783642274138

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Curves and Surfaces by Jean-Daniel Boissonnat,Patrick Chenin,Albert Cohen,Christian Gout,Tom Lyche,Marie-Laurence Mazure,Larry Schumaker Pdf

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.

Moduli Spaces of Riemann Surfaces

Benson Farb,Richard Hain,Eduard Looijenga
Moduli Spaces of Riemann Surfaces Book PDF

Author : Benson Farb,Richard Hain,Eduard Looijenga
Publisher : American Mathematical Soc.
Page : 371 pages
File Size : 46,9 Mb
Release : 2013-08-16
Category : Mathematics
ISBN : 9780821898871

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Moduli Spaces of Riemann Surfaces by Benson Farb,Richard Hain,Eduard Looijenga Pdf

Mapping class groups and moduli spaces of Riemann surfaces were the topics of the Graduate Summer School at the 2011 IAS/Park City Mathematics Institute. This book presents the nine different lecture series comprising the summer school, covering a selection of topics of current interest. The introductory courses treat mapping class groups and Teichmüller theory. The more advanced courses cover intersection theory on moduli spaces, the dynamics of polygonal billiards and moduli spaces, the stable cohomology of mapping class groups, the structure of Torelli groups, and arithmetic mapping class groups. The courses consist of a set of intensive short lectures offered by leaders in the field, designed to introduce students to exciting, current research in mathematics. These lectures do not duplicate standard courses available elsewhere. The book should be a valuable resource for graduate students and researchers interested in the topology, geometry and dynamics of moduli spaces of Riemann surfaces and related topics. Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.

Knots and Surfaces

N. D. Gilbert,T. Porter
Knots and Surfaces Book PDF

Author : N. D. Gilbert,T. Porter
Publisher : Oxford University Press, UK
Page : 285 pages
File Size : 54,7 Mb
Release : 1994-12-01
Category : Electronic
ISBN : 9780191591907

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Knots and Surfaces by N. D. Gilbert,T. Porter Pdf

Completely up-to-date, illustrated throughout, and written in an accessible style, Knots and Surfaces is an account of the mathematical theory of knots and its interaction with related fields. This is an area of intense research activity, and this text provides the advanced undergraduate with a superb introduction to this exciting field. Beginning with a simple diagrammatic approach, the book proceeds through recent advances to areas of current research. Topics including topological spaces, surfaces, the fundamental group, graphs, free groups, and group presentations combine to form a coherent and highly developed theory with which to explore and explain the accessible and intuitive problems of knots and surfaces. - ;The main theme of this book is the mathematical theory of knots and its interaction with the theory of surfaces and of group presentations. Beginning with a simple diagrammatic approach to the study of knots, reflecting the artistic and geometric appeal of interlaced forms, Knots and Surfaces takes the reader through recent advances in our understanding to areas of current research. Topics included are straightforward introductions to topological spaces, surfaces, the fundamental group, graphs, free groups, and group presentations. These topics combine into a coherent and highly developed theory to explore and explain the accessible and intuitive problems of knots and surfaces. Both as an introduction to several areas of prime importance to the development of pure mathematics today, and as an account of pure mathematics in action in an unusual context, this book presents novel challenges to students and other interested readers. -

Computational Methods for Algebraic Spline Surfaces

Tor Dokken,Bert Jüttler
Computational Methods for Algebraic Spline Surfaces Book PDF

Author : Tor Dokken,Bert Jüttler
Publisher : Springer Science & Business Media
Page : 252 pages
File Size : 52,8 Mb
Release : 2004-12-10
Category : Mathematics
ISBN : 3540232745

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Computational Methods for Algebraic Spline Surfaces by Tor Dokken,Bert Jüttler Pdf

This volume contains revised papers that were presented at the international workshop entitled Computational Methods for Algebraic Spline Surfaces (“COMPASS”), which was held from September 29 to October 3, 2003, at Schloß Weinberg, Kefermarkt (A- tria). The workshop was mainly devoted to approximate algebraic geometry and its - plications. The organizers wanted to emphasize the novel idea of approximate implici- zation, that has strengthened the existing link between CAD / CAGD (Computer Aided Geometric Design) and classical algebraic geometry. The existing methods for exact implicitization (i. e. , for conversion from the parametric to an implicit representation of a curve or surface) require exact arithmetic and are too slow and too expensive for industrial use. Thus the duality of an implicit representation and a parametric repres- tation is only used for low degree algebraic surfaces such as planes, spheres, cylinders, cones and toroidal surfaces. On the other hand, this duality is a very useful tool for - veloping ef?cient algorithms. Approximate implicitization makes this duality available for general curves and surfaces. The traditional exact implicitization of parametric surfaces produce global rep- sentations, which are exact everywhere. The surface patches used in CAD, however, are always de?ned within a small box only; they are obtained for a bounded parameter domain (typically a rectangle, or – in the case of “trimmed” surface patches – a subset of a rectangle). Consequently, a globally exact representation is not really needed in practice.