Mathematical Methods For Curves And Surfaces

Author : Morten Dæhlen
Publisher : Springer
ISBN 13 : 3642116205
Total Pages : 446 pages
Book Rating : 4.09/5 ( download)

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Download or read book Mathematical Methods for Curves and Surfaces written by Morten Dæhlen and published by Springer. This book was released on 2010-02-12 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Mathematical Methods for Curves and Surfaces, MMCS 2008, held in Tønsberg, Norway, in June/July 2008. The 28 revised full papers presented were carefully reviewed and selected from 129 talks presented at the conference. The topics addressed by the papers range from mathematical analysis of various methods to practical implementation on modern graphics processing units.

Author : M. Abate
Publisher : Springer Science & Business Media
ISBN 13 : 8847019419
Total Pages : 407 pages
Book Rating : 4.16/5 ( download)

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Download or read book Curves and Surfaces written by M. Abate and published by Springer Science & Business Media. This book was released on 2012-06-11 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an introduction to Differential Geometry of Curves and Surfaces. The theory of curves starts with a discussion of possible definitions of the concept of curve, proving in particular the classification of 1-dimensional manifolds. We then present the classical local theory of parametrized plane and space curves (curves in n-dimensional space are discussed in the complementary material): curvature, torsion, Frenet’s formulas and the fundamental theorem of the local theory of curves. Then, after a self-contained presentation of degree theory for continuous self-maps of the circumference, we study the global theory of plane curves, introducing winding and rotation numbers, and proving the Jordan curve theorem for curves of class C2, and Hopf theorem on the rotation number of closed simple curves. The local theory of surfaces begins with a comparison of the concept of parametrized (i.e., immersed) surface with the concept of regular (i.e., embedded) surface. We then develop the basic differential geometry of surfaces in R3: definitions, examples, differentiable maps and functions, tangent vectors (presented both as vectors tangent to curves in the surface and as derivations on germs of differentiable functions; we shall consistently use both approaches in the whole book) and orientation. Next we study the several notions of curvature on a surface, stressing both the geometrical meaning of the objects introduced and the algebraic/analytical methods needed to study them via the Gauss map, up to the proof of Gauss’ Teorema Egregium. Then we introduce vector fields on a surface (flow, first integrals, integral curves) and geodesics (definition, basic properties, geodesic curvature, and, in the complementary material, a full proof of minimizing properties of geodesics and of the Hopf-Rinow theorem for surfaces). Then we shall present a proof of the celebrated Gauss-Bonnet theorem, both in its local and in its global form, using basic properties (fully proved in the complementary material) of triangulations of surfaces. As an application, we shall prove the Poincaré-Hopf theorem on zeroes of vector fields. Finally, the last chapter will be devoted to several important results on the global theory of surfaces, like for instance the characterization of surfaces with constant Gaussian curvature, and the orientability of compact surfaces in R3.

Author : Morten Dæhlen
Publisher : Springer Science & Business Media
ISBN 13 : 3642116191
Total Pages : 453 pages
Book Rating : 4.93/5 ( download)

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Download or read book Mathematical Methods for Curves and Surfaces written by Morten Dæhlen and published by Springer Science & Business Media. This book was released on 2010-03-02 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Mathematical Methods for Curves and Surfaces, MMCS 2008, held in Tønsberg, Norway, in June/July 2008. The 28 revised full papers presented were carefully reviewed and selected from 129 talks presented at the conference. The topics addressed by the papers range from mathematical analysis of various methods to practical implementation on modern graphics processing units.

Author : Michael Floater
Publisher : Springer
ISBN 13 : 331967885X
Total Pages : 325 pages
Book Rating : 4.56/5 ( download)

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Download or read book Mathematical Methods for Curves and Surfaces written by Michael Floater and published by Springer. This book was released on 2017-10-17 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Morten Dæhlen
Publisher :
ISBN 13 :
Total Pages : 584 pages
Book Rating : 4.95/5 ( download)

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Download or read book Mathematical Methods for Curves and Surfaces II written by Morten Dæhlen and published by . This book was released on 1998 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains more than fifty carefully refereed and edited full-length papers on the theory and applications of mathematical methods arising out of the Fourth International Conference on Mathematical Methods in Computer Aided Geometric Design, held in Lillehammer, Norway, in July 1997.

Author : Vladimir Rovenski
Publisher : Springer Science & Business Media
ISBN 13 : 0387712771
Total Pages : 463 pages
Book Rating : 4.72/5 ( download)

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Download or read book Modeling of Curves and Surfaces with MATLAB® written by Vladimir Rovenski and published by Springer Science & Business Media. This book was released on 2010-06-10 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text on geometry is devoted to various central geometrical topics including: graphs of functions, transformations, (non-)Euclidean geometries, curves and surfaces as well as their applications in a variety of disciplines. This book presents elementary methods for analytical modeling and demonstrates the potential for symbolic computational tools to support the development of analytical solutions. The author systematically examines several powerful tools of MATLAB® including 2D and 3D animation of geometric images with shadows and colors and transformations using matrices. With over 150 stimulating exercises and problems, this text integrates traditional differential and non-Euclidean geometries with more current computer systems in a practical and user-friendly format. This text is an excellent classroom resource or self-study reference for undergraduate students in a variety of disciplines.

Author : Morten Dæhlen
Publisher : Vanderbilt University Press (TN)
ISBN 13 :
Total Pages : 608 pages
Book Rating : 4.66/5 ( download)

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Download or read book Mathematical Methods for Curves and Surfaces written by Morten Dæhlen and published by Vanderbilt University Press (TN). This book was released on 1995 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: An edited selection of papers from the Third International Conference on Mathematical Methods in Computer Aided Geometrical Design, held in Ulvik, Norway, June 1994. It includes 12 invited surveys on topics of current interest, along with 38 refereed research papers. Among the topics are data fitting, interpolation, and approximation; fairing and shape preservation; geometry of curves and surfaces; multivariate splines; nonlinear and rational splines; radial basis functions; and connections with wavelets. No index. Annotation copyright by Book News, Inc., Portland, OR

Author : Michael Floater
Publisher : Springer
ISBN 13 : 3642543820
Total Pages : 511 pages
Book Rating : 4.21/5 ( download)

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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 511 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.

Author : David Salomon
Publisher : Springer Science & Business Media
ISBN 13 : 0387284524
Total Pages : 466 pages
Book Rating : 4.21/5 ( download)

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Download or read book Curves and Surfaces for Computer Graphics written by David Salomon and published by Springer Science & Business Media. This book was released on 2007-03-20 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Morten Dæhlen
Publisher :
ISBN 13 : 9780972848244
Total Pages : 386 pages
Book Rating : 4.4X/5 ( download)

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Download or read book Mathematical Methods for Curves and Surfaces written by Morten Dæhlen and published by . This book was released on 2005 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains refereed and edited papers presented atthe conference on Mathematical Methods for Curves and Surfacesheld in Tromso, Norway in July, 2004. The papers deal witha variety of topics in curves and surfaces, and will be of interestto mathematicians, computer-scientists, and engineers.