Curve and Surface Reconstruction

Curve and Surface Reconstruction
Author: Tamal K. Dey
Publisher: Cambridge University Press
Total Pages: 229
Release: 2006-10-16
Genre: Computers
ISBN: 1139460684

Many applications in science and engineering require a digital model of a real physical object. Advanced scanning technology has made it possible to scan such objects and generate point samples on their boundaries. This book, first published in 2007, shows how to compute a digital model from this point sample. After developing the basics of sampling theory and its connections to various geometric and topological properties, the author describes a suite of algorithms that have been designed for the reconstruction problem, including algorithms for surface reconstruction from dense samples, from samples that are not adequately dense and from noisy samples. Voronoi- and Delaunay-based techniques, implicit surface-based methods and Morse theory-based methods are covered. Scientists and engineers working in drug design, medical imaging, CAD, GIS, and many other areas will benefit from this first book on the subject.

Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space

Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space
Author: Sung Joon Ahn
Publisher: Springer Science & Business Media
Total Pages: 138
Release: 2004-12-07
Genre: Computers
ISBN: 3540239669

Due to the continuing progress of sensor technology, the availability of 3-D cameras is already foreseeable. These cameras are capable of generating a large set of measurement points within a very short time. There are a variety of 3-D camera applications in the fields of robotics, rapid product development and digital factories. In order to not only visualize the point cloud but also to recognize 3-D object models from the point cloud and then further process them in CAD systems, efficient and stable algorithms for 3-D information processing are required. For the automatic segmentation and recognition of such geometric primitives as plane, sphere, cylinder, cone and torus in a 3-D point cloud, efficient software has recently been developed at the Fraunhofer IPA by Sung Joon Ahn. This book describes in detail the complete set of ‘best-?t’ algorithms for general curves and surfaces in space which are employed in the Fraunhofer software.

Visual Motion of Curves and Surfaces

Visual Motion of Curves and Surfaces
Author: Roberto Cipolla
Publisher: Cambridge University Press
Total Pages: 200
Release: 2000
Genre: Computers
ISBN: 9780521632515

Computer vision aims to detect and reconstruct features of surfaces from the images produced by cameras, in some way mimicking the way in which humans reconstruct features of the world around them by using their eyes. In this book the authors describe research in computer vision aimed at recovering the 3D shape of surfaces from image sequences of their 'outlines'. They provide all the necessary background in differential geometry (assuming knowledge of elementary algebra and calculus) and in the analysis of visual motion, emphasising intuitive visual understanding of the geometric techniques with computer-generated illustrations. They also give a thorough introduction to the mathematical techniques and the details of the implementations and apply the methods to data from real images using the most current techniques.

Effective Computational Geometry for Curves and Surfaces

Effective Computational Geometry for Curves and Surfaces
Author: Jean-Daniel Boissonnat
Publisher: Springer Science & Business Media
Total Pages: 352
Release: 2006-10-24
Genre: Mathematics
ISBN: 3540332596

This book covers combinatorial data structures and algorithms, algebraic issues in geometric computing, approximation of curves and surfaces, and computational topology. Each chapter fully details and provides a tutorial introduction to important concepts and results. The focus is on methods which are both well founded mathematically and efficient in practice. Coverage includes references to open source software and discussion of potential applications of the presented techniques.

Advances in Multiresolution for Geometric Modelling

Advances in Multiresolution for Geometric Modelling
Author: Neil Dodgson
Publisher: Springer Science & Business Media
Total Pages: 430
Release: 2006-05-24
Genre: Mathematics
ISBN: 3540268081

Multiresolution methods in geometric modelling are concerned with the generation, representation, and manipulation of geometric objects at several levels of detail. Applications include fast visualization and rendering as well as coding, compression, and digital transmission of 3D geometric objects. This book marks the culmination of the four-year EU-funded research project, Multiresolution in Geometric Modelling (MINGLE). The book contains seven survey papers, providing a detailed overview of recent advances in the various fields within multiresolution modelling, and sixteen additional research papers. Each of the seven parts of the book starts with a survey paper, followed by the associated research papers in that area. All papers were originally presented at the MINGLE 2003 workshop held at Emmanuel College, Cambridge, UK, 9-11 September 2003.

Curves and Surfaces

Curves and Surfaces
Author: Pierre-Jean Laurent
Publisher: CRC Press
Total Pages: 507
Release: 1994-07-15
Genre: Computers
ISBN: 1439863598

This volume documents the results and presentations, related to aspects of geometric design, of the Second International Conference on Curves and Surfaces, held in Chamonix in 1993. The papers represent directions for future research and development in many areas of application. From the table of contents: - Object Oriented Spline Software - An Int

Mathematical Methods for Curves and Surfaces

Mathematical Methods for Curves and Surfaces
Author: Morten Dæhlen
Publisher: Springer Science & Business Media
Total Pages: 453
Release: 2010-03-02
Genre: Computers
ISBN: 3642116191

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.

An Introduction to NURBS

An Introduction to NURBS
Author: David F. Rogers
Publisher: Morgan Kaufmann
Total Pages: 344
Release: 2001
Genre: Computers
ISBN: 1558606696

NURBS (Non-uniform Rational B-Splines) are the computer graphics industry standard for curve and surface description. They are now incorporated into all standard computer-aided design and drafting programs (for instance, Autocad). They are also extensively used in all aspects of computer graphics including much of the modeling used for special effects in film and animation, consumer products, robot control, and automobile and aircraft design. So, the topic is particularly important at this time because NURBS are really at the peak of interest as applied to computer graphics and CAD of all kind.

Frontier Computing

Frontier Computing
Author: Jia-Wei Chang
Publisher: Springer Nature
Total Pages: 2343
Release: 2022-01-01
Genre: Technology & Engineering
ISBN: 9811601151

This book gathers the proceedings of the 10th International Conference on Frontier Computing, held in Singapore, on July 10–13, 2020, and provides comprehensive coverage of the latest advances and trends in information technology, science, and engineering. It addresses a number of broad themes, including communication networks, business intelligence and knowledge management, web intelligence, and related fields that inspire the development of information technology. The respective contributions cover a wide range of topics: database and data mining, networking and communications, web and Internet of things, embedded systems, soft computing, social network analysis, security and privacy, optical communication, and ubiquitous/pervasive computing. Many of the papers outline promising future research directions, and the book benefits students, researchers, and professionals alike. Further, it offers a useful reference guide for newcomers to the field.

Surface Temperature Reconstructions for the Last 2,000 Years

Surface Temperature Reconstructions for the Last 2,000 Years
Author: National Research Council
Publisher: National Academies Press
Total Pages: 160
Release: 2007-01-05
Genre: Science
ISBN: 0309102251

In response to a request from Congress, Surface Temperature Reconstructions for the Last 2,000 Years assesses the state of scientific efforts to reconstruct surface temperature records for Earth during approximately the last 2,000 years and the implications of these efforts for our understanding of global climate change. Because widespread, reliable temperature records are available only for the last 150 years, scientists estimate temperatures in the more distant past by analyzing "proxy evidence," which includes tree rings, corals, ocean and lake sediments, cave deposits, ice cores, boreholes, and glaciers. Starting in the late 1990s, scientists began using sophisticated methods to combine proxy evidence from many different locations in an effort to estimate surface temperature changes during the last few hundred to few thousand years. This book is an important resource in helping to understand the intricacies of global climate change.