Subdivision Surface Modeling Technology

1. Front Matter

   Pages i-xvi

   PDF

2. Introduction

   • Wenhe Liao, Hao Liu, Tao Li

   Pages 1-13

3. Splines and Subdivision

   • Wenhe Liao, Hao Liu, Tao Li

   Pages 15-63

4. Meshes and Subdivision

   • Wenhe Liao, Hao Liu, Tao Li

   Pages 65-96

5. Analysis of Subdivision Surface

   • Wenhe Liao, Hao Liu, Tao Li

   Pages 97-134

6. n-Sided Patches and Subdivision Surfaces

   • Wenhe Liao, Hao Liu, Tao Li

   Pages 135-166

7. Energy Optimization Method and Subdivision Surfaces

   • Wenhe Liao, Hao Liu, Tao Li

   Pages 167-195

8. Interactive Shape Editing for Subdivision Surfaces

   • Wenhe Liao, Hao Liu, Tao Li

   Pages 197-216

9. Intersection and Trimming of Subdivision Surfaces

   • Wenhe Liao, Hao Liu, Tao Li

   Pages 217-231

10. Subdivision Surfaces and Curve Networks

    • Wenhe Liao, Hao Liu, Tao Li

    Pages 233-258

11. Fitting Unstructured Triangle Meshes Using Subdivision Surfaces

    • Wenhe Liao, Hao Liu, Tao Li

    Pages 259-275

12. Poisson Mesh Editing Guided by Subdivision Surface

    • Wenhe Liao, Hao Liu, Tao Li

    Pages 277-295

13. Back Matter

    Pages 297-307

    PDF

This book offers a comprehensive introduction to Subdivision Surface Modeling Technology focusing not only on fundamental theories but also on practical applications. It furthers readers’ understanding of the contacts between spline surfaces and subdivision surfaces, enabling them to master the Subdivision Surface Modeling Technology for analyzing subdivision surfaces. Subdivision surface modeling is a popular technology in the field of computer aided design (CAD) and computer graphics (CG) thanks to its ability to model meshes of any topology. The book also discusses some typical Subdivision Surface Modeling Technologies, such as interpolation, fitting, fairing, intersection, as well as trimming and interactive editing. It is a valuable tool, enabling readers to grasp the main technologies of subdivision surface modeling and use them in software development, which in turn leads to a better understanding of CAD/CG software operations.

• Computer Aided Design
• Geometric Modeling
• Computer Graphics
• CAD
• Computational Mathematics
• B-spline Curves and Surfaces

“Surface modeling is a fundamental tool of CAGD. It's derived from the aeronautics industry because shapes of airplanes are complex and it is very difficult to express these shapes by using analytical surfaces. ... this book represents an important tool for graduate students, teachers and technical staff using CAGD, CAD and other related fields .” (Antonio López-Carmona, Mathematical Reviews, April 2018)

• College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China

  Wenhe Liao, Hao Liu

• Suzhou University of Science and Technology, Suzhou, China

  Tao Li

Prof. Liao Wenhe is professor and Vice President of Nanjing University of Science and Technology, Nanjing, China. He has published 2 books and over 150 peer-reviewed journal/conference papers. He is also a member of associations and is Editor-in-Chief of CAD/CAM and Digital Manufacturing Industry. His main areas of research include airplane three-dimensional (3D) digital design, digital assembly, high-precision digital medical equipment and mini/micro-satellite techniques.


Prof. Hao Liu is Associate Professor at Nanjing University of Aeronautics and Astronautics. His main areas of research and consulting expertise include mathematics and image and graphic processing. He was visiting scholar at the Department of Computer Information and Science Engineering, University of Florida from Jan. 2015 to Jan. 2016. He has been involved in a number of research collaborations and has written numerous articles. 


Prof. Tao Li is a lecturer at Suzhou University of Science & Technology, China. His research focuses on subdivision surface modeling, and he has received the Teaching and Research Award Program for Outstanding Young Teachers in Higher Education Institutions of MOE, China.

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