Introduction to geometric computing by Sherif Ghali

Cover of: Introduction to geometric computing | Sherif Ghali

Published by Springer in London .

Written in English

Read online

Subjects:

  • Geometry -- Data processing.,
  • Geometry -- Computer programs.

Edition Notes

Includes bibliographical references (p. [331]-334) and index.

Book details

StatementSherif Ghali.
Classifications
LC ClassificationsQA448.D38 G464 2008
The Physical Object
Paginationxvii, 340 p. :
Number of Pages340
ID Numbers
Open LibraryOL22565992M
ISBN 101848001142
ISBN 109781848001145
LC Control Number2008926727

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From the reviews: "This textbook is excellent for students and programmers working in geometric computing. The main theme of the book is the definition of coordinate-free geometric software layers for Euclidean, spherical, projective, and oriented projective geometries.

Cited by: This book is intended to give a rapid introduction to computing with Geometric Algebra and its. power for geometric modeling. From the geometric objects point of view, it focuses on the most basic ones, namely points, lines and circles. This algebra is called Compass Ruler Algebra, since it is comparable to working with a compass and by: 7.

Introduction to Geometric Computing. Authors: Ghali, Sherif the fundamental topics affecting these disciplines and lies at the intersection of classical geometry and modern computing.

The main theme of the book is the definition of coordinate-free geometric software layers for Euclidean, spherical, projective, and oriented-projective Author: Sherif Ghali. Furthermore, the author recommends the inclusion of a geometric computing course in computing science curriculum, in support of courses on computer graphics, robotics, geographic information systems, computer vision, computer-aided design, and computational geometry.

The book is at the advanced undergraduate and first-year graduate levels. The main theme of the book is the definition of coordinate-free geometric software layers for Euclidean, spherical, projective, and oriented-projective geometries.

Results are derived from elementary linear algebra and many classical computer graphics problems (including the graphics pipeline) are recast in this new language.

This book is intended to give a rapid introduction to computing with Geometric Algebra and its power for geometric modeling. From the geometric objects point of view, it focuses on the most basic ones, namely points, lines and circles. Book Description. From the Foreword: "Dietmar Hildenbrand's new book, Introduction to Geometric Algebra Computing, in my view, fills an important gap in Clifford's geometric algebra literature I can only congratulate the author for the daring simplicity of his novel educational approach taken in this book, consequently combined with hands on computer based exploration.

Introduction to geometric computing Sherif Ghali Ph.D. (auth.) The geometric ideas in computer science, mathematics, engineering, and physics have considerable overlap and students in each of these disciplines will eventually encounter geometric computing problems.

Get this from a library. Introduction to geometric computing. [Sherif Ghali] -- "The geometric ideas in computer science, mathematics, engineering, and physics have considerable overlap and students in each of these disciplines will eventually encounter geometric computing.

— This book has a chapter on geometric algorithms. Frank Nielsen. Visual Computing: Graphics, Vision, and Geometry, Charles River Media, ISBN — This book combines graphics, vision and geometric computing and targets advanced undergraduates and professionals in game development and graphics.

Includes some concise C++ code. Geometric Algebra is a very powerful mathematical system for an easy and intuitive treatment of geometry, but the community working with it is still very small. The main goal of this book is to close this gap with an introduction to Geometric Algebra from an engineering/computing perspective.

Condition. LIKE NEW: This book is in excellent condition and appears as if it has never been used. It is printed on acid-free paper. Description. From the back cover: “The geometric ideas in computer science, mathematics, engineering, and physics have considerable overlap and students in each of these disciplines will eventually encounter geometric computing problems.

Introduction to Geometric Computing Sherif Ghali Before discussing two methods for graph drawing in § and §we spend a moment debating the design of classes for : Sherif Ghali. Introduction to Geometric Computing mobi Every programmer tackling a geometric computing problem encounters design decisions that need to be solved.

What may not be clear to individual programmers is that these design decisions have already been contemplated by others who have gone down some system design path only to discover (usually much.

The exercises are formulated to teach the fundamentals of geometric algebra and to stimulate the development of readers' skills in creative and efficient geometric computing. The book could also be useful to scientists and engineers who are working in various areas related to the development and building of intelligent machines.

use the following search parameters to narrow your results: subreddit:subreddit find submissions in "subreddit" author:username find submissions by "username" site: find. The Complexity of Geometric Problems Computing with Floating Point Numbers Problems References Unit 2: Geometric Concepts Coordinate Systems, Points, Lines and Planes Simple Curves and Surfaces Homogeneous Coordinates Geometric Transformations Problems References Unit 3: Solid Models Solid Representations: An Introduction Wireframe Models.

About this book Introduction Clifford or geometric algebra shows strong unifying aspects and turned out in the s to be a most adequate formalism for describing different geometry-related algebraic systems as specializations of one "mother algebra" in various subfields of physics and engineering.

Introduction to Computing with Geometry | Adrian Bowyer, John Woodwark | download | B–OK. Download books for free. Find books. This book attempts to find the answer. Every programmer tackling a geometric computing problem encounters design decisions that need to be solved. This book reviews the geometric theory then applies it in an attempt to find that elusive "right" design.

Product Information. The author defines Geometric Algebra Computing as the geometrically intuitive development of algorithms using geometric algebra with a focus on their efficient implementation, and the goal of this book is to lay the foundations for the widespread use of geometric algebra as a powerful, intuitive mathematical language for engineering applications in academia and industry.

Mathematics has to be understood as a monolithic whole this is one of the messages of this warmly recommended monography. (Wolfgang Sprößig, Zentralblatt MATH, Vol. )The book under review is an extensive introduction to geometric algebra and its various applications.

Geometric Algebra Computing in Engineering and Computer Science presents contributions from an international selection of experts in the field. This useful text/reference offers new insights and solutions for the development of theorems, algorithms and advanced methods for real-time applications across a range of disciplines.

Introduction to Visual Computing: Core Concepts in Computer Vision, Graphics, and Image Processing covers the fundamental concepts of visual computing. Whereas past books have treated these concepts within the context of specific fields such as computer graphics, computer vision or image processing, this book offers a unified view of these core concepts, thereby providing a unified.

studied in Chapter 7 in this book. It can be used to model trading areas of different cities, to guide robots, and even to describe and simulate the growth of crystals. Computing a geometric structure like a Voronoi diagram requires geometric algorithms.

Such algorithms form the topic of this book. A second Size: KB. This book was set in Syntax and Times Roman by Westchester Book Group. Printed and bound in the United States of America. Library of Congress Cataloging-in-Publication Data Rieffel, Eleanor, – Quantum computing: a gentle introduction / Eleanor Rieffel and Wolfgang Polak.

cm.—(Scientific and engineering computation)File Size: 6MB. nd some hints as to the sorts of geometric elements, operations, structures and algorithms that you may come across when you start computing with geometry. Computing with geometry is a large area of activit.y It can be subdivided into a number of segments based on communities of re-1 Our Financial Wizard got very hu y about this.

Don't we File Size: KB. The book greatly benefits from the original work of the author, and is very readable. After a general introduction to the benefits of geometric algebra, geometric algebra computing and its historical development, the book is divided into three main parts.” (Eckhard M.

Hitzer, Mathematical Reviews, May, ) From the PublisherAuthor: Dietmar Hildenbrand. This book is intended to give a rapid introduction to computing with Geometric Algebra and its. power for geometric modeling. From the geometric objects point of view, it focuses on the most basic ones, namely points, lines and circles.

This algebra is called Compass Ruler Algebra, since it is comparable to working with a compass and ruler. The. Computing is quickly making much of geometry intriguing. What is the core set of topics that a practitioner needs to study before embarking on the design and implementation of a Geometric system in a specialized discipline.

This book attempts to find the answer. This book includes an introduction to Euclidean geometric algebra focused on R^2 and R^3, an introduction to geometric calculus and multivector Green's functions, applications to electromagnetism (82 pages), and some appendices.

Keywords: geometric algebra, geometric computing, point clouds, osculating circle, fitting of spheres, bounding.

Philosophy is written in this grand book, the universe which stands continually open to our gaze. But the book cannot be understood unless one first learns to comprehend the language and read the letters in which it is composed. It is written in the language of mathematics, and its characters are triangles, circles and other geometric figures.

Adaptive Algorithms for Intelligent Geometric Computing: /ch This chapter spans topics from such important areas as Artificial Intelligence, Computational Geometry and Biometric Technologies. The primary focus is on theCited by: 2. The Wolfram Language provides fully integrated support for solid geometry, including basic regions such as points, lines, planes, and spheres; functions for computing basic properties such as arc length, surface area, and volume; and nearest points to solvers to find the.

Geometry, Topology, Geometric Modeling. This book is primarily an introduction to geometric concepts and tools needed for solving problems of a geometric nature with a computer. Topics covered includes: Logic and Computation, Geometric Modeling, Geometric Methods and Applications, Discrete Mathematics, Topology and Surfaces.

Author(s): Jean Gallier. Geometric algebra was initiated by W.K. Clifford over years ago. It unifies all branches of physics, and has found rich applications in robotics, signal processing, ray tracing, virtual reality, computer vision, vector field processing, tracking, geographic information systems and neural computing.

This tutorial explains the basics of geometric algebra, with concrete examples of the plane Cited by: 2. The book greatly benefits from the original work of the author, and is very readable.

After a general introduction to the benefits of geometric algebra, geometric algebra computing and its historical development, the book is divided into three main parts.” (Eckhard Author: Dietmar Hildenbrand.

Book Description. Introduction to Visual Computing: Core Concepts in Computer Vision, Graphics, and Image Processing covers the fundamental concepts of visual computing. Whereas past books have treated these concepts within the context of specific fields such as computer graphics, computer vision or image processing, this book offers a unified view of these core concepts, thereby providing a.

Here is the first modern introduction to geometric probability, also known as integral geometry, presented at an elementary level, requiring little more than first-year graduate mathematics.

Klein and Rota present the theory of intrinsic volumes due to Hadwiger, McMullen, Santaló and others, along with a complete and elementary proof of Hadwiger's characterization theorem of invariant. Introduction 1 Geometric Computing Geometric computing refers to computation with geometric objects such as points, lines, hyperplanes, disks, curves, surfaces, and solids.

These objects live in an ambient space. In this book, ambient space will be add mainly two- and three-dimensional Euclidean space.

Geometric computing is ubiquitous. We. Computational geometry is a branch of computer science devoted to the study of algorithms which can be stated in terms of purely geometrical problems arise out of the study of computational geometric algorithms, and such problems are also considered to be part of computational modern computational geometry is a recent development, it is one of the oldest fields of.Geometric problems in visual computing (computer graphics, computer vision, and image processing) are typically modeled and solved using linear algebra (LA).A book that emphasizes the importance of solving differential equations on a computer, which comprises a large part of what has come to be called scientific computing.

An introductory chapter on this topic gives an overview of modern scientific computing, outlining its .

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