Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics

Author: Kai Hormann,N. Sukumar

Publisher: CRC Press

ISBN: 1498763618

Category: Computers

Page: 316

View: 7888

In Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics, eminent computer graphics and computational mechanics researchers provide a state-of-the-art overview of generalized barycentric coordinates. Commonly used in cutting-edge applications such as mesh parametrization, image warping, mesh deformation, and finite as well as boundary element methods, the theory of barycentric coordinates is also fundamental for use in animation and in simulating the deformation of solid continua. Generalized Barycentric Coordinates is divided into three sections, with five chapters each, covering the theoretical background, as well as their use in computer graphics and computational mechanics. A vivid 16-page insert illustrates the stunning applications of this fascinating research area.

3D Math Primer for Graphics and Game Development, 2nd Edition

Author: Fletcher Dunn,Ian Parberry

Publisher: CRC Press

ISBN: 1568817231

Category: Computers

Page: 846

View: 6081

This engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics. The text provides an introduction to mathematics for game designers, including the fundamentals of coordinate spaces, vectors, and matrices. It also covers orientation in three dimensions, calculus and dynamics, graphics, and parametric curves.

Computer Graphics

Principles and Practice

Author: James D. Foley

Publisher: Addison-Wesley Professional

ISBN: 9780201848403

Category: Computers

Page: 1175

View: 6132

A guide to the concepts and applications of computer graphics covers such topics as interaction techniques, dialogue design, and user interface software.

Computer Vision

Algorithms and Applications

Author: Richard Szeliski

Publisher: Springer

ISBN: 9781848829466

Category: Computers

Page: 812

View: 7844

Humans perceive the three-dimensional structure of the world with apparent ease. However, despite all of the recent advances in computer vision research, the dream of having a computer interpret an image at the same level as a two-year old remains elusive. Why is computer vision such a challenging problem and what is the current state of the art? Computer Vision: Algorithms and Applications explores the variety of techniques commonly used to analyze and interpret images. It also describes challenging real-world applications where vision is being successfully used, both for specialized applications such as medical imaging, and for fun, consumer-level tasks such as image editing and stitching, which students can apply to their own personal photos and videos. More than just a source of “recipes,” this exceptionally authoritative and comprehensive textbook/reference also takes a scientific approach to basic vision problems, formulating physical models of the imaging process before inverting them to produce descriptions of a scene. These problems are also analyzed using statistical models and solved using rigorous engineering techniques Topics and features: structured to support active curricula and project-oriented courses, with tips in the Introduction for using the book in a variety of customized courses; presents exercises at the end of each chapter with a heavy emphasis on testing algorithms and containing numerous suggestions for small mid-term projects; provides additional material and more detailed mathematical topics in the Appendices, which cover linear algebra, numerical techniques, and Bayesian estimation theory; suggests additional reading at the end of each chapter, including the latest research in each sub-field, in addition to a full Bibliography at the end of the book; supplies supplementary course material for students at the associated website, http://szeliski.org/Book/. Suitable for an upper-level undergraduate or graduate-level course in computer science or engineering, this textbook focuses on basic techniques that work under real-world conditions and encourages students to push their creative boundaries. Its design and exposition also make it eminently suitable as a unique reference to the fundamental techniques and current research literature in computer vision.

A Rational Finite Element Basis

Author: Wachspress

Publisher: Academic Press

ISBN: 0080956238

Category: Computers

Page: 330

View: 5230

A Rational Finite Element Basis

Computational Topology

An Introduction

Author: Herbert Edelsbrunner,John Harer

Publisher: American Mathematical Soc.

ISBN: 0821849255

Category: Mathematics

Page: 241

View: 1592

Combining concepts from topology and algorithms, this book delivers what its title promises: an introduction to the field of computational topology. Starting with motivating problems in both mathematics and computer science and building up from classic topics in geometric and algebraic topology, the third part of the text advances to persistent homology. This point of view is critically important in turning a mostly theoretical field of mathematics into one that is relevant to a multitude of disciplines in the sciences and engineering. The main approach is the discovery of topology through algorithms. The book is ideal for teaching a graduate or advanced undergraduate course in computational topology, as it develops all the background of both the mathematical and algorithmic aspects of the subject from first principles. Thus the text could serve equally well in a course taught in a mathematics department or computer science department.

Advanced Methods in Computer Graphics

With examples in OpenGL

Author: Ramakrishnan Mukundan

Publisher: Springer Science & Business Media

ISBN: 1447123395

Category: Computers

Page: 314

View: 1206

This book brings together several advanced topics in computer graphics that are important in the areas of game development, three-dimensional animation and real-time rendering. The book is designed for final-year undergraduate or first-year graduate students, who are already familiar with the basic concepts in computer graphics and programming. It aims to provide a good foundation of advanced methods such as skeletal animation, quaternions, mesh processing and collision detection. These and other methods covered in the book are fundamental to the development of algorithms used in commercial applications as well as research.

Computer Graphics and Geometric Modelling

Author: Max K. Agoston

Publisher: Springer Science & Business Media

ISBN: 9781852338183

Category: Computers

Page: 907

View: 2003

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.

Visualizing Quaternions

Author: Andrew J. Hanson

Publisher: Elsevier

ISBN: 0080474772

Category: Mathematics

Page: 530

View: 3400

Introduced 160 years ago as an attempt to generalize complex numbers to higher dimensions, quaternions are now recognized as one of the most important concepts in modern computer graphics. They offer a powerful way to represent rotations and compared to rotation matrices they use less memory, compose faster, and are naturally suited for efficient interpolation of rotations. Despite this, many practitioners have avoided quaternions because of the mathematics used to understand them, hoping that some day a more intuitive description will be available. The wait is over. Andrew Hanson's new book is a fresh perspective on quaternions. The first part of the book focuses on visualizing quaternions to provide the intuition necessary to use them, and includes many illustrative examples to motivate why they are important—a beautiful introduction to those wanting to explore quaternions unencumbered by their mathematical aspects. The second part covers the all-important advanced applications, including quaternion curves, surfaces, and volumes. Finally, for those wanting the full story of the mathematics behind quaternions, there is a gentle introduction to their four-dimensional nature and to Clifford Algebras, the all-encompassing framework for vectors and quaternions. Richly illustrated introduction for the developer, scientist, engineer, or student in computer graphics, visualization, or entertainment computing. Covers both non-mathematical and mathematical approaches to quaternions.

Polygon Mesh Processing

Author: Mario Botsch,Leif Kobbelt,Mark Pauly,Pierre Alliez,Bruno Levy

Publisher: CRC Press

ISBN: 1568814267

Category: Computers

Page: 250

View: 9116

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.

From Gestalt Theory to Image Analysis

A Probabilistic Approach

Author: Agnès Desolneux,Lionel Moisan,J.-M. Morel

Publisher: Springer Science & Business Media

ISBN: 0387726357

Category: Computers

Page: 276

View: 8649

This book introduces a new theory in Computer Vision yielding elementary techniques to analyze digital images. These techniques are a mathematical formalization of the Gestalt theory. From the mathematical viewpoint the closest field to it is stochastic geometry, involving basic probability and statistics, in the context of image analysis. The book is mathematically self-contained, needing only basic understanding of probability and calculus. The text includes more than 130 illustrations, and numerous examples based on specific images on which the theory is tested. Detailed exercises at the end of each chapter help the reader develop a firm understanding of the concepts imparted.

Computational Science and Its Applications -- ICCSA 2013

13th International Conference, ICCSA 2013, Ho Chi Minh City, Vietnam, June 24-27, 2013, Proceedings

Author: Beniamino Murgante,Sanjay Misra,Maurizio Carlini,Carmelo Maria Torre,Hong-Quang Nguyen,David Taniar,Bernady O. Apduhan,Osvaldo Gervasi

Publisher: Springer

ISBN: 3642396402

Category: Computers

Page: 659

View: 3444

The five-volume set LNCS 7971-7975 constitutes the refereed proceedings of the 13th International Conference on Computational Science and Its Applications, ICCSA 2013, held in Ho Chi Minh City, Vietnam in June 2013. The 248 revised papers presented in five tracks and 33 special sessions and workshops were carefully reviewed and selected. The 46 papers included in the five general tracks are organized in the following topical sections: computational methods, algorithms and scientific applications; high-performance computing and networks; geometric modeling, graphics and visualization; advanced and emerging applications; and information systems and technologies. The 202 papers presented in special sessions and workshops cover a wide range of topics in computational sciences ranging from computational science technologies to specific areas of computational sciences such as computer graphics and virtual reality.

3D Computer Graphics

A Mathematical Introduction with OpenGL

Author: Samuel R. Buss

Publisher: Cambridge University Press

ISBN: 1139440381

Category: Computers

Page: N.A

View: 8602

This textbook, first published in 2003, emphasises the fundamentals and the mathematics underlying computer graphics. The minimal prerequisites, a basic knowledge of calculus and vectors plus some programming experience in C or C++, make the book suitable for self study or for use as an advanced undergraduate or introductory graduate text. The author gives a thorough treatment of transformations and viewing, lighting and shading models, interpolation and averaging, Bézier curves and B-splines, ray tracing and radiosity, and intersection testing with rays. Additional topics, covered in less depth, include texture mapping and colour theory. The book covers some aspects of animation, including quaternions, orientation, and inverse kinematics, and includes source code for a Ray Tracing software package. The book is intended for use along with any OpenGL programming book, but the crucial features of OpenGL are briefly covered to help readers get up to speed. Accompanying software is available freely from the book's web site.

Geodesic Methods in Computer Vision and Graphics

Author: Gabriel Peyré,Mickael Pechaud,Renaud Keriven,Laurent D. Cohen

Publisher: Now Publishers Inc

ISBN: 1601983964

Category: Computers

Page: 214

View: 8081

Reviews the emerging field of geodesic methods and features the following: explanations of the mathematical foundations underlying these methods; discussion on the state of the art algorithms to compute shortest paths; review of several fields of application, including medical imaging segmentation, 3-D surface sampling and shape retrieval

Graphics and Visualization

Principles & Algorithms

Author: T. Theoharis,Georgios Papaioannou,Nikolaos Platis,Nicholas M. Patrikalakis

Publisher: CRC Press

ISBN: 1568812744

Category: Computers

Page: 752

View: 8216

This book is a comprehensive introduction to visual computing, dealing with the modeling and synthesis of visual data by means of computers. What sets this book apart from other computer graphics texts is the integrated coverage of computer graphics and visualization topics, including important techniques such as subdivision and multi-resolution modeling, scene graphs, shadow generation, ambient occlusion, and scalar and vector data visualization. Students and practitioners will benefit from the comprehensive coverage of the principles that are the basic tools of their trade, from fundamental computer graphics and classic visualization techniques to advanced topics.

An Introduction to Splines for Use in Computer Graphics and Geometric Modeling

Author: Richard H. Bartels,John C. Beatty,Brian A. Barsky

Publisher: Morgan Kaufmann

ISBN: 9781558604001

Category: Computers

Page: 476

View: 7519

As the field of computer graphics develops, techniques for modeling complex curves and surfaces are increasingly important. A major technique is the use of parametric splines in which a curve is defined by piecing together a succession of curve segments, and surfaces are defined by stitching together a mosaic of surface patches. An Introduction to Splines for Use in Computer Graphics and Geometric Modeling discusses the use of splines from the point of view of the computer scientist. Assuming only a background in beginning calculus, the authors present the material using many examples and illustrations with the goal of building the reader's intuition. Based on courses given at the University of California, Berkeley, and the University of Waterloo, as well as numerous ACM Siggraph tutorials, the book includes the most recent advances in computer-aided geometric modeling and design to make spline modeling techniques generally accessible to the computer graphics and geometric modeling communities.

Computational Methods for Multiphase Flows in Porous Media

Author: Zhangxin Chen,Guanren Huan,Yuanle Ma

Publisher: SIAM

ISBN: 0898716063

Category: Computers

Page: 531

View: 3864

This book offers a fundamental and practical introduction to the use of computational methods. A thorough discussion of practical aspects of the subject is presented in a consistent manner, and the level of treatment is rigorous without being unnecessarily abstract. Each chapter ends with bibliographic information and exercises.

LEARNING AND THE LEARNER

INSIGHTS INTO THE PROCESSES OF LEARNING AND TEACHING

Author: N. SUKUMAR GOWDA

Publisher: PHI Learning Pvt. Ltd.

ISBN: 8120351207

Category: Education

Page: 284

View: 1533

The book, in its new edition, continues to discuss the processes and problems of learning in the triadic framework of learner–curriculum–teacher. The purpose of the book is to help the educators develop newer insights into the nature and problems of the learner, and as a result, to enable them develop their own approaches to teaching so as to improve learning. The phenomenon and the process of learning has been looked at in a comprehensive and integrated manner in this book. The concept of learning is discussed by positing its meaning in the wider context of school curriculum and education. He attempts to answer the question ‘how people learn’ from the philosophical, physiological and psychological perspectives. Pedology and pedagogy are the two major components of educational theory. The chapter on ‘Creative Pedagogy’ outlines the conceptual and practical interrelationship between learning and teaching. This chapter also outlines the different modes of teaching, and discusses the teacher’s role in fostering creativity and teaching children how to learn. Learning disabilities particularly those related to reading, spelling and computation are also presented. Finally, the book envisions the future classrooms and strongly advocates liberated, creative, democratic, collaborative and humanistic classrooms. He recommends that Learning Resource Centres should be preferred to the traditional classrooms. This book is intended to be a useful handbook for the students of education and psychology, and for educators, at all levels. NEW TO THIS EDITION Sections on Language and Communication, Reading and Writing, Orthographic bases of Dyslexia and Dysgraphia and Collaborative Classrooms, are added to update the student with the latest developments in the field.

hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes

Author: Andrea Cangiani,Zhaonan Dong,Emmanuil H. Georgoulis,Paul Houston

Publisher: Springer

ISBN: 3319676733

Category: Mathematics

Page: 131

View: 1448

Over the last few decades discontinuous Galerkin finite element methods (DGFEMs) have been witnessed tremendous interest as a computational framework for the numerical solution of partial differential equations. Their success is due to their extreme versatility in the design of the underlying meshes and local basis functions, while retaining key features of both (classical) finite element and finite volume methods. Somewhat surprisingly, DGFEMs on general tessellations consisting of polygonal (in 2D) or polyhedral (in 3D) element shapes have received little attention within the literature, despite the potential computational advantages. This volume introduces the basic principles of hp-version (i.e., locally varying mesh-size and polynomial order) DGFEMs over meshes consisting of polygonal or polyhedral element shapes, presents their error analysis, and includes an extensive collection of numerical experiments. The extreme flexibility provided by the locally variable elemen t-shapes, element-sizes, and element-orders is shown to deliver substantial computational gains in several practical scenarios.