Implicit Curves And Surfaces Mathematics Data Structures And Algorithms

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Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms

Author : Abel Gomes
Publisher : Springer Science & Business Media
ISBN 13 : 1848824068
Total Pages : 351 pages
Book Rating : 4.8/5 (488 download)

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Book Synopsis Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms by : Abel Gomes

Download or read book Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms written by Abel Gomes and published by Springer Science & Business Media. This book was released on 2009-05-12 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms

Author : Abel Gomes
Publisher : Springer
ISBN 13 : 9781848824164
Total Pages : 351 pages
Book Rating : 4.8/5 (241 download)

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Book Synopsis Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms by : Abel Gomes

Download or read book Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms written by Abel Gomes and published by Springer. This book was released on 2009-08-29 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms

Author : Abel Gomes
Publisher : Springer
ISBN 13 : 9781848824058
Total Pages : 351 pages
Book Rating : 4.8/5 (24 download)

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Book Synopsis Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms by : Abel Gomes

Download or read book Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms written by Abel Gomes and published by Springer. This book was released on 2009-05-15 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

3D Imaging, Analysis and Applications

Author : Yonghuai Liu
Publisher : Springer Nature
ISBN 13 : 3030440702
Total Pages : 736 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis 3D Imaging, Analysis and Applications by : Yonghuai Liu

Download or read book 3D Imaging, Analysis and Applications written by Yonghuai Liu and published by Springer Nature. This book was released on 2020-09-11 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is designed for postgraduate studies in the field of 3D Computer Vision. It also provides a useful reference for industrial practitioners; for example, in the areas of 3D data capture, computer-aided geometric modelling and industrial quality assurance. This second edition is a significant upgrade of existing topics with novel findings. Additionally, it has new material covering consumer-grade RGB-D cameras, 3D morphable models, deep learning on 3D datasets, as well as new applications in the 3D digitization of cultural heritage and the 3D phenotyping of crops. Overall, the book covers three main areas: ● 3D imaging, including passive 3D imaging, active triangulation 3D imaging, active time-of-flight 3D imaging, consumer RGB-D cameras, and 3D data representation and visualisation; ● 3D shape analysis, including local descriptors, registration, matching, 3D morphable models, and deep learning on 3D datasets; and ● 3D applications, including 3D face recognition, cultural heritage and 3D phenotyping of plants. 3D computer vision is a rapidly advancing area in computer science. There are many real-world applications that demand high-performance 3D imaging and analysis and, as a result, many new techniques and commercial products have been developed. However, many challenges remain on how to analyse the captured data in a way that is sufficiently fast, robust and accurate for the application. Such challenges include metrology, semantic segmentation, classification and recognition. Thus, 3D imaging, analysis and their applications remain a highly-active research field that will continue to attract intensive attention from the research community with the ultimate goal of fully automating the 3D data capture, analysis and inference pipeline.

Computational Electrostatics for Biological Applications

Author : Walter Rocchia
Publisher : Springer
ISBN 13 : 3319122118
Total Pages : 311 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Computational Electrostatics for Biological Applications by : Walter Rocchia

Download or read book Computational Electrostatics for Biological Applications written by Walter Rocchia and published by Springer. This book was released on 2014-11-29 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents established and new approaches to perform calculations of electrostatic interactions at the nanoscale, with particular focus on molecular biology applications. It is based on the proceedings of the Computational Electrostatics for Biological Applications international meeting, which brought together researchers in computational disciplines to discuss and explore diverse methods to improve electrostatic calculations. Fostering an interdisciplinary approach to the description of complex physical and biological problems, this book encompasses contributions originating in the fields of geometry processing, shape modeling, applied mathematics, and computational biology and chemistry. The main topics covered are theoretical and numerical aspects of the solution of the Poisson-Boltzmann equation, surveys and comparison among geometric approaches to the modelling of molecular surfaces and related discretization and computational issues. It also includes a number of contributions addressing applications in biology, biophysics and nanotechnology. The book is primarily intended as a reference for researchers in the computational molecular biology and chemistry fields. As such, it also aims at becoming a key source of information for a wide range of scientists who need to know how modeling and computing at the molecular level may influence the design and interpretation of their experiments.

Curves and Surfaces in Geometric Modeling

Author : Jean H. Gallier
Publisher : Morgan Kaufmann
ISBN 13 : 9781558605992
Total Pages : 512 pages
Book Rating : 4.6/5 (59 download)

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Book Synopsis Curves and Surfaces in Geometric Modeling by : Jean H. Gallier

Download or read book Curves and Surfaces in Geometric Modeling written by Jean H. Gallier and published by Morgan Kaufmann. This book was released on 2000 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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

Computational Science and Its Applications – ICCSA 2020

Author : Osvaldo Gervasi
Publisher : Springer Nature
ISBN 13 : 3030588025
Total Pages : 1003 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Computational Science and Its Applications – ICCSA 2020 by : Osvaldo Gervasi

Download or read book Computational Science and Its Applications – ICCSA 2020 written by Osvaldo Gervasi and published by Springer Nature. This book was released on 2020-10-01 with total page 1003 pages. Available in PDF, EPUB and Kindle. Book excerpt: The seven volumes LNCS 12249-12255 constitute the refereed proceedings of the 20th International Conference on Computational Science and Its Applications, ICCSA 2020, held in Cagliari, Italy, in July 2020. Due to COVID-19 pandemic the conference was organized in an online event. Computational Science is the main pillar of most of the present research, industrial and commercial applications, and plays a unique role in exploiting ICT innovative technologies. The 466 full papers and 32 short papers presented were carefully reviewed and selected from 1450 submissions. Apart from the general track, ICCSA 2020 also include 52 workshops, in various areas of computational sciences, ranging from computational science technologies, to specific areas of computational sciences, such as software engineering, security, machine learning and artificial intelligence, blockchain technologies, and of applications in many fields.

Solving Large Scale Learning Tasks. Challenges and Algorithms

Author : Stefan Michaelis
Publisher : Springer
ISBN 13 : 3319417061
Total Pages : 397 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Solving Large Scale Learning Tasks. Challenges and Algorithms by : Stefan Michaelis

Download or read book Solving Large Scale Learning Tasks. Challenges and Algorithms written by Stefan Michaelis and published by Springer. This book was released on 2016-07-02 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: In celebration of Prof. Morik's 60th birthday, this Festschrift covers research areas that Prof. Morik worked in and presents various researchers with whom she collaborated. The 23 refereed articles in this Festschrift volume provide challenges and solutions from theoreticians and practitioners on data preprocessing, modeling, learning, and evaluation. Topics include data-mining and machine-learning algorithms, feature selection and feature generation, optimization as well as efficiency of energy and communication.

Static Analysis

Author : Jens Palsberg
Publisher : Springer Science & Business Media
ISBN 13 : 3642032362
Total Pages : 369 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Static Analysis by : Jens Palsberg

Download or read book Static Analysis written by Jens Palsberg and published by Springer Science & Business Media. This book was released on 2009-07-20 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 16th International Symposium on Static Analysis, SAS 2009, held in Los Angeles, CA, USA in August 2009 - co-located with LICS 2009, the 24th IEEE Symposium on Logic in Computer Science. The 21 revised full papers presented together with two invited lectures were carefully reviewed and selected from 52 submissions. The papers address all aspects of static analysis including abstract domains, abstract interpretation, abstract testing, compiler optimizations, control flow analysis, data flow analysis, model checking, program specialization, security analysis, theoretical analysis frameworks, type based analysis, and verification systems.

Real-Time Rendering, Fourth Edition

Author : Tomas Akenine-Möller
Publisher : CRC Press
ISBN 13 : 1351816152
Total Pages : 1199 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Real-Time Rendering, Fourth Edition by : Tomas Akenine-Möller

Download or read book Real-Time Rendering, Fourth Edition written by Tomas Akenine-Möller and published by CRC Press. This book was released on 2018-08-06 with total page 1199 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thoroughly updated, this fourth edition focuses on modern techniques used to generate synthetic three-dimensional images in a fraction of a second. With the advent of programmable shaders, a wide variety of new algorithms have arisen and evolved over the past few years. This edition discusses current, practical rendering methods used in games and other applications. It also presents a solid theoretical framework and relevant mathematics for the field of interactive computer graphics, all in an approachable style. New to this edition: new chapter on VR and AR as well as expanded coverage of Visual Appearance, Advanced Shading, Global Illumination, and Curves and Curved Surfaces.

Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space

Author : Sung Joon Ahn
Publisher : Springer Science & Business Media
ISBN 13 : 3540239669
Total Pages : 138 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space by : Sung Joon Ahn

Download or read book Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space written by Sung Joon Ahn and published by Springer Science & Business Media. This book was released on 2004-12-07 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Applications of Virtual Reality

Author : Cecília Sik Lányi
Publisher : BoD – Books on Demand
ISBN 13 : 9535105833
Total Pages : 226 pages
Book Rating : 4.5/5 (351 download)

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Book Synopsis Applications of Virtual Reality by : Cecília Sik Lányi

Download or read book Applications of Virtual Reality written by Cecília Sik Lányi and published by BoD – Books on Demand. This book was released on 2012-05-02 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information Technology is growing rapidly. With the birth of high-resolution graphics, high-speed computing and user interaction devices Virtual Reality has emerged as a major new technology in the mid 90es, last century. Virtual Reality technology is currently used in a broad range of applications. The best known are games, movies, simulations, therapy. From a manufacturing standpoint, there are some attractive applications including training, education, collaborative work and learning. This book provides an up-to-date discussion of the current research in Virtual Reality and its applications. It describes the current Virtual Reality state-of-the-art and points out many areas where there is still work to be done. We have chosen certain areas to cover in this book, which we believe will have potential significant impact on Virtual Reality and its applications. This book provides a definitive resource for wide variety of people including academicians, designers, developers, educators, engineers, practitioners, researchers, and graduate students.

Curves and Surfaces

Author : Jean-Daniel Boissonnat
Publisher : Springer
ISBN 13 : 3319228048
Total Pages : 502 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Curves and Surfaces by : Jean-Daniel Boissonnat

Download or read book Curves and Surfaces written by Jean-Daniel Boissonnat and published by Springer. This book was released on 2015-08-13 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the thoroughly refereed post-conference proceedings of the 8th International Conference on Curves and Surfaces, held in Paris, France, in June 2014. The conference had the overall theme: "Representation and Approximation of Curves and Surfaces and Applications". The 32 revised full papers presented were carefully reviewed and selected from 39 submissions. The scope of the conference was on following topics: approximation theory, computer-aided geometric design, computer graphics and visualization, computational geometry and topology, geometry processing, image and signal processing, interpolation and smoothing, mesh generation, finite elements and splines, scattered data processing and learning theory, sparse and high-dimensional approximation, subdivision, wavelets and multi-resolution method.

Computer Graphics and Geometric Modelling

Author : Max K. Agoston
Publisher : Springer Science & Business Media
ISBN 13 : 9781852338183
Total Pages : 960 pages
Book Rating : 4.3/5 (381 download)

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Book Synopsis Computer Graphics and Geometric Modelling by : Max K. Agoston

Download or read book Computer Graphics and Geometric Modelling written by Max K. Agoston and published by Springer Science & Business Media. This book was released on 2005-01-04 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt: Possibly the most comprehensive overview of computer graphics as seen in the context of geometric modeling, this two-volume work covers implementation and theory in a thorough and systematic fashion. It covers the computer graphics part of the field of geometric modeling and includes all the standard computer graphics topics. The CD-ROM features two companion programs.

Conversion Methods Between Parametric and Implicit Curves and Surfaces

Author :
Publisher :
ISBN 13 :
Total Pages : 65 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Conversion Methods Between Parametric and Implicit Curves and Surfaces by :

Download or read book Conversion Methods Between Parametric and Implicit Curves and Surfaces written by and published by . This book was released on 1990 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present methods for parameterizing implicit curves and surfaces and for implicitizing parametric curves and surfaces, based on computational techniques from algebraic geometry. After reviewing the basic mathematical facts of relevance, we describe and illustrate state-of-the-art algorithms and insights for the conversions problem. Keywords: Points.

Discovering Curves and Surfaces with Maple®

Author : Maciej Klimek
Publisher : Springer Science & Business Media
ISBN 13 : 1461218268
Total Pages : 231 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Discovering Curves and Surfaces with Maple® by : Maciej Klimek

Download or read book Discovering Curves and Surfaces with Maple® written by Maciej Klimek and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite the fact that Maple is one of the most popular computer algebra systems on the market, surprisingly few users realise its potential for scientific visualisation. This book equips readers with the graphics tools needed on the voyage into the complex and beautiful world of curves and surfaces. A comprehensive treatment of Maples graphics commands and structures is combined with an introduction to the main aspects of visual perception, with priority given to the use of light, colour, perspective, and geometric transformations. Numerous examples cover all aspects of Maple graphics, and these may be easily tailored to the individual needs of the reader. The approach is context-independent, and as such will appeal to students, educators, and researchers in a broad spectrum of scientific disciplines. For the general user at any level of experience, this book will serve as a comprehensive reference manual. For the beginner, it offers a user-friendly introduction to the subject, with mathematical requirements kept to a minimum, while, for those interested in advanced mathematical visualisation, it explains how to maximise Maples graphical capabilities.

Guide to Computational Geometry Processing

Author : J. Andreas Bærentzen
Publisher : Springer Science & Business Media
ISBN 13 : 1447140753
Total Pages : 330 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Guide to Computational Geometry Processing by : J. Andreas Bærentzen

Download or read book Guide to Computational Geometry Processing written by J. Andreas Bærentzen and published by Springer Science & Business Media. This book was released on 2012-05-31 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.