Boundary Representation Modelling Techniques
Boundary representation is the principle solid modelling method used in modern CAD/CAM systems. There have been a long series of developments on which currently available systems are based, full details of which are only partially known. Ian Stroud’s thor
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Ian Stroud
Boundary Representation Modelling Techniques
Ian Stroud (EPFL), STI-IPR-LICP Ecole Polytechnique Federale de Lausanne Lausanne 1015 Switzerland [email protected]
British Library Cataloguing in Publication Data A catalogue record for this book is available from the British Library Library of Congress Control Number: 2005938356 ISBN-10: 0-387-84628-312-4 ISBN-13: 978-1-84628-312-3 Printed on acid-free paper. © 2006 Springer-Verlag London Limited Apart from any fair dealing for the purposes of research or private study, or criticism or review, as permitted under the Copyright, Designs and Patents Act 1988, this publication may only be reproduced, stored or transmitted, in any form or by any means, with the prior permission in writing of the publishers, or in the case of reprographic reproduction in accordance with the terms of licences issued by the Copyright Licensing Agency. Enquiries concerning reproduction outside those terms should be sent to the publishers. The use of registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant laws and regulations and therefore free for general use. The publisher makes no representation, express or implied, with regard to the accuracy of the information contained in this book and cannot accept any legal responsibility or liability for any errors or omissions that may be made. Printed in the United States of America. 9 8 7 6 5 4 3 2 1 springer.com
(MVY)
This book is dedicated to my wife and family, as well as to numerous colleagues past and present.
Preface This book is concerned with aspects of boundary representation (B-rep) solid modelling, describes several algorithms illustrating both general principles of modelling algorithms and their versatility and outlines the general principles behind the development of such algorithms and the extensions for handling information in models. It goes on to describe feature modelling, graphics, model input and output, and applications. It represents a collection of work partly by the author but also by many other people whose results are described. The purpose of the book is not to give a general introduction to solid modelling. A variety of techniques are available and to go into detail about each one would require much more space than is reasonable. This book attempts to cover basic techniques for one branch. It is not intended to be a review of commercial systems nor to describe any one system. The aim is to describe the techniques behind different systems. The first two chapters describe the background to solid and product modelling and what has already been done. Chapter 1 gives a brief outline of computer modelling, and chapter 2 describes in more detail the background to B-rep modelling specifically, because this forms the basis for the book. Chapter 3 describes an idealised, or recommended B-rep modelling environment, the basic operations or tools that provide a basis for the work described in the book. This ideal
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