Special Section in this Issue: Applications of Geometry Processing

Special Section in this Issue: Applications of Geometry Processing PDF Author: Andrei Sharf
Publisher:
ISBN:
Category :
Languages : en
Pages : 57

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Book Description

Special Section in this Issue: Applications of Geometry Processing

Special Section in this Issue: Applications of Geometry Processing PDF Author: Andrei Sharf
Publisher:
ISBN:
Category :
Languages : en
Pages : 57

Get Book Here

Book Description


Polygon Mesh Processing

Polygon Mesh Processing PDF Author: Mario Botsch
Publisher: CRC Press
ISBN: 1568814267
Category : Computers
Languages : en
Pages : 244

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Book Description
Geometry processing, or mesh processing, is a fast-growing area of research that uses concepts from applied mathematics, computer science, and engineering to design efficient algorithms for the acquisition, reconstruction, analysis, manipulation, simulation, and transmission of complex 3D models. Applications of geometry processing algorithms already cover a wide range of areas from multimedia, entertainment, and classical computer-aided design, to biomedical computing, reverse engineering, and scientific computing. Over the last several years, triangle meshes have become increasingly popular, as irregular triangle meshes have developed into a valuable alternative to traditional spline surfaces. This book discusses the whole geometry processing pipeline based on triangle meshes. The pipeline starts with data input, for example, a model acquired by 3D scanning techniques. This data can then go through processes of error removal, mesh creation, smoothing, conversion, morphing, and more. The authors detail techniques for those processes using triangle meshes. A supplemental website contains downloads and additional information.

Computer Aided Geometric Design

Computer Aided Geometric Design PDF Author: Robert E. Barnhill
Publisher: Academic Press
ISBN: 1483268489
Category : Technology & Engineering
Languages : en
Pages : 337

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Book Description
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.

Special Issue: Geometry Processing

Special Issue: Geometry Processing PDF Author: Leif Kobbelt
Publisher:
ISBN:
Category :
Languages : en
Pages : 114

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Book Description


Geometry Processing for Design and Manufacturing

Geometry Processing for Design and Manufacturing PDF Author: Robert E. Barnhill
Publisher: SIAM
ISBN: 0898712807
Category : Mathematics
Languages : en
Pages : 207

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Book Description
This text includes papers covering topics in geometry processing applications, such as surface-surface intersections and offset surfaces. Present methods fundamental to geometric modelling are highlighted.

Image and Geometry Processing for 3-D Cinematography

Image and Geometry Processing for 3-D Cinematography PDF Author: Rémi Ronfard
Publisher: Springer Science & Business Media
ISBN: 3642123929
Category : Mathematics
Languages : en
Pages : 307

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Book Description
papers, illustrated with examples. They include wavelet bases, implicit functions de ned on a space grid, etc. It appears that a common pattern is the recovery of a controllable model of the scene, such that the resulting images can be edited (interaction). Changing the viewpoint is only one (important) aspect, but changing the lighting and action is equally important [2]. Recording and representing three-dimensional scenes is an emerging technology made possible by the convergence of optics, geometry and computer science, with many applications in the movie industry, and more generally in entertainment. Note that the invention of cinema (camera and projector) was also primarily a scienti c invention that evolved into an art form. We suspect the same thing will probably happen with 3-D movies. 3 Book Contents The book is composed of 12 chapters, which elaborate on the content of talks given at the BANFF workshop. The chapters are organized into three sections. The rst section presents an overview of the inter-relations between the art of cinemat- raphy and the science of image and geometry processing; the second section is devoted to recent developments in geometry; and the third section is devoted to recent developmentsin image processing. 3.1 3-D Cinematography and Applications The rst section of the book presents an overview of the inter-relations between the art of cinematography and the science of image and geometry processing.

Information Geometry and Its Applications

Information Geometry and Its Applications PDF Author: Shun-ichi Amari
Publisher: Springer
ISBN: 4431559787
Category : Mathematics
Languages : en
Pages : 378

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Book Description
This is the first comprehensive book on information geometry, written by the founder of the field. It begins with an elementary introduction to dualistic geometry and proceeds to a wide range of applications, covering information science, engineering, and neuroscience. It consists of four parts, which on the whole can be read independently. A manifold with a divergence function is first introduced, leading directly to dualistic structure, the heart of information geometry. This part (Part I) can be apprehended without any knowledge of differential geometry. An intuitive explanation of modern differential geometry then follows in Part II, although the book is for the most part understandable without modern differential geometry. Information geometry of statistical inference, including time series analysis and semiparametric estimation (the Neyman–Scott problem), is demonstrated concisely in Part III. Applications addressed in Part IV include hot current topics in machine learning, signal processing, optimization, and neural networks. The book is interdisciplinary, connecting mathematics, information sciences, physics, and neurosciences, inviting readers to a new world of information and geometry. This book is highly recommended to graduate students and researchers who seek new mathematical methods and tools useful in their own fields.

Computational Geometry

Computational Geometry PDF Author: Mark de Berg
Publisher: Springer Science & Business Media
ISBN: 3662042452
Category : Computers
Languages : en
Pages : 370

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Book Description
This introduction to computational geometry focuses on algorithms. Motivation is provided from the application areas as all techniques are related to particular applications in robotics, graphics, CAD/CAM, and geographic information systems. Modern insights in computational geometry are used to provide solutions that are both efficient and easy to understand and implement.

Discrete Differential Geometry

Discrete Differential Geometry PDF Author: Alexander I. Bobenko TU Berlin
Publisher: Springer Science & Business Media
ISBN: 3764386215
Category : Mathematics
Languages : en
Pages : 341

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Book Description
This is the first book on a newly emerging field of discrete differential geometry providing an excellent way to access this exciting area. It provides discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral surfaces. The carefully edited collection of essays gives a lively, multi-facetted introduction to this emerging field.

Organizing Data for CIM Applications

Organizing Data for CIM Applications PDF Author: Charles S. Knox
Publisher:
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 384

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Book Description