Computer-Aided Geometric Design

A Totally Four-Dimensional Approach

By: S. A. Gureev, F. Yamaguchi, Fujio Yamaguchi

Write A Review

Hardcover | 1 October 2008

At a Glance

Hardcover
672 Pages

Dimensions(cm)
24.13 x 15.88 x 5.08

Hardcover

$249.00

or 4 interest-free payments of $62.25 with

Ships in 5 to 7 business days

Computer graphics, computer-aided design, and computer-aided manufacturing are tools that have become indispensable to a wide array of activities in contemporary society. Euclidean processing provides the basis for these computer-aided design systems although it contains elements that inevitably lead to an inaccurate, non-robust, and complex system. The primary cause of the deficiencies of Euclidean processing is the division operation, which becomes necessary if an n-space problem is to be processed in n-space. The difficulties that accompany the division operation may be avoided if processing is conducted entirely in (n+1)-space. The paradigm attained through the logical extension of this approach, totally four-dimensional processing, is the subject of this book. This book offers a new system of geometric processing techniques that attain accurate, robust, and compact computations, and allow the construction of a systematically structured CAD system.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $89.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Engineering & Technology Technology in General Technical Design Arts & Entertainment Art Forms Drawing & Drawings Handicrafts, Decorative Arts & Crafts Painting, Drawing & Art Manuals Computing & I.T.Graphical & Digital Media Applications Computer-Aided Design CAD

Engineering in General Computer Programming & Software Development Software Engineering Digital Lifestyle & Online World: Consumer & User Guides Computer Games & Online Games Strategy Guides

Other Editions and Formats

Paperback

Published: 21st October 2012

View Product

Preface
Notation used in this book
List of Figures
List of Tables
Problem Definitions	p. 1
Problems of Euclidean Approach	p. 3
Homogeneous Coordinates	p. 13
Classical Projective Space	p. 21
Two-Sided Space	p. 33
Processing in Projective Spaces	p. 67
Transformations	p. 71
Presentation of a Solution - Four-dimensional Processing	p. 85
A Solution	p. 87
Geometric Definitions in General	p. 105
Geometric Element Definitions	p. 123
Homogeneous Curves	p. 159
Homogeneous Surfaces	p. 199
Basic Intersections	p. 207
4 x 4 Determinant Methods	p. 215
The Homogeneous Determinant Method	p. 247
Geometric Newton-Raphson Method	p. 299
Exact Arithmetic	p. 325
Fundamentals of Topology	p. 351
Data Structures	p. 381
Euclidean and Affine	p. 417
Set Operations	p. 435
Polyhedron Subdivisions	p. 467
Reconstruction of 3-D Points	p. 489
Display Process	p. 495
Classical or Two-Sided?	p. 519
Test Results	p. 525
Various Tests	p. 527
Conclusions	p. 559
Evaluations	p. 561
Role of Division Operations	p. 571
Various Interpretations	p. 575
Afterword	p. 577
Bibliography	p. 579
Fundamentals on Euclidean Processing	p. 585
App. B: Various Geometries	p. 591
Plane Determinant Method	p. 593
Analytical Geometry in Vector Space	p. 611
App. E: Proofs for Chapter 16	p. 619
Index	p. 622
Table of Contents provided by Blackwell. All Rights Reserved.

Computer-Aided Geometric Design

A Totally Four-Dimensional Approach

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

More in Software Engineering

Federated Learning for Healthcare

Applications with Case Studies

Mobile and Ubiquitous Systems: Computing, Networking and Services

22nd EAI International Conference, MobiQuitous 2025, Shanghai, China, November 7-9, 2025, Proceedings, Part I

Design Patterns

Elements of Reusable Object-Oriented Software

The Essence of Software Engineering

Building Microservices

Designing Fine-Grained Systems 2nd Edition

The Manager`s Path

A Guide for Tech Leaders Navigating Growth and Change

Code

2nd Edition - The Hidden Language of Computer Hardware and Software

Coding All-in-One For Dummies

2nd Edition

Refactoring 2ed

Improving the Design of Existing Code

The Pragmatic Programmer 2nd edition

your journey to mastery, 20th Anniversary Edition

Architecture Patterns with Python

Enabling Test-Driven Development, Domain-Driven Design, and Event-Driven Microservices

Swim Training Patterns

1st Edition - Plan your Training Sessions with the Power of Mathematics

Hacking For Dummies

For Dummies (Computer/Tech)

Git : Pocket Guide

A Working Introduction

Arduino for Dummies

Blackwell Philosophy Anthologies

Web Application Security

2nd Eidtion - Exploitation and Countermeasures for Modern Web Applications

Typescript Cookbook

Real World Type-Level Programming

User Story Mapping

Discover the Whote Story, Build the Right Product

Site Reliability Engineering

How Google Runs Production Systems

Head First Design Patterns

Building Extensible and Maintainable Object-Oriented Software 2nd Edition

The Devops Handbook: 2nd Edition

How to Create World-Class Agility, Reliability, & Security in Technology

Architectural Approach to Level Design

Second edition

Learning Algorithms

A Programmer's Guide to Writing Better Code

Go Cookbook

Expert Solutions for Commonly Needed Go Tasks

This product is categorised by