Energy Optimization Method and Subdivision Surfaces

An important research content of surface modeling is to construct fairing curves and surfaces, and the optimization modeling is an important method to construct fairing curves and surfaces, so which has been always being focused by many researchers.

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Subdivision Surface Modeling Technology

Subdivision Surface Modeling Technology

Wenhe Liao Hao Liu Tao Li •



Subdivision Surface Modeling Technology

123

Wenhe Liao College of Mechanical and Electrical Engineering Nanjing University of Aeronautics and Astronautics Nanjing, Jiangsu China

Tao Li Suzhou University of Science and Technology Suzhou, Jiangsu China

Hao Liu College of Mechanical and Electrical Engineering Nanjing University of Aeronautics and Astronautics Nanjing, Jiangsu China

ISBN 978-981-10-3514-2 DOI 10.1007/978-981-10-3515-9

ISBN 978-981-10-3515-9 (eBook)

Jointly published with Higher Education Press, Beijing, China ISBN: 978-7-04-047514-2 Higher Education Press The print edition is not for sale in China Mainland. Customers from China Mainland please order the print book from: Higher Education Press. Library of Congress Control Number: 2017945245 © Springer Nature Singapore Pte Ltd. and Higher Education Press 2017 This work is subject to copyright. All rights are reserved by the Publishers, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publishers, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publishers nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publishers remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer Nature Singapore Pte Ltd. The registered company address is: 152 Beach Road, #21-01/04 Gateway East, Singapore 189721, Singapore

Foreword

Subdivision surface is a popular modeling technique in the field of computer-aided design (CAD) and computer graphics (CG) for its strong modeling capabilities for meshes of any topology. This book makes a comprehensive introduction to subdivision modeling technologies, the focus of which lies in not only fundamental theories but also practical applications. In theory aspect, this book seeks to make readers understand the contacts between spline surfaces and subdivision surfaces and makes the readers master the analysis techniques of subdivision surfaces. In application aspect, it introduces some typical modeling techniques, s