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Inferring solids composed of linear and quadratic surfaces from incomplete three views

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Abstract

This paper introduces an automatically reasoning system for inferring linear and quadratic surface solids from incomplete three views. The method is based on human reasoning. Initially, quadratic surface primitives are recognized and extracted according to possibility computation. Then, the data relative only to quadratic surface primitives are removed from the given three views and polyhedrons are constructed based on the remaining data. The final solid is constructed by assembling all the generated quadratic surface primitives and the polyhedrons. The system has been implemented in C and OpenGL on Windows NT. The constructed solid can be observed at any angle by rotating it using the keyboard. Many examples are tested and the experimental results show that the system is very robust, and can accurately and effectively construct a suitable solid composed of linear and quadratic surfaces from incomplete three views.

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Authors and Affiliations

  1. Faculty of Environment and Information Management, Nagoya Sangyo University, 488-8711, Aichi, Japan

    Chao Yuyan

  2. Faculty of Information Science and Technology, Aichi Prefectural University, 480-1198, Aichi, Japan

    He Lifeng

  3. Department of Artificial Intelligence and Computer Science, Nagoya Institute of Technology, 466-8555, Nagoya, Japan

    Itoh Hidenori

Authors
  1. Chao Yuyan
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  2. He Lifeng
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  3. Itoh Hidenori
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Corresponding author

Correspondence to Chao Yuyan.

Additional information

This research is partially supported by the Hori Information Science Promotion Foundation of Japan.

Yuyan Chao received the Ph.D. degree from Nagoya University (Japan) in 2000. From Apr. 2000 to Mar. 2002, she was a postdoctoral fellow of Nagoya Institute of Technology. From Apr. 2002 to Sept. 2002, she was a postdoctoral fellow of the Japan Society of the Promotion of Science. She is currently a lecturer at Nagoya Sangyo University. Her research interests include graphic understanding, CAD, image processing and automated reasoning.

Lifeng He received the Ph.D. degree from Nagoya Institute of Technology (Japan) in 1997. Since 1999, he has been an associate professor at Aichi Prefectural University, Japan. His research interests include automated reasoning, theorem proving, knowledge bases, multi-agent system and image processing.

Itoh Hidenori received the Ph.D. degree from Nagoya University in 1974. From 1974 to 1985, he worked at Nippon Telephone and Telegraph Lab. From 1985 to 1989, he was with the Institute for New Generation Computer Technology. Since 1989, he has been a professor at Nagoya Institute of Technology. His current research interests include multimedia, artificial life and AI.

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Yuyan, C., Lifeng, H. & Hidenori, I. Inferring solids composed of linear and quadratic surfaces from incomplete three views. J. Comput. Sci. & Technol. 18, 332–342 (2003). https://doi.org/10.1007/BF02948903

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  • DOI: https://doi.org/10.1007/BF02948903

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