Distance Field Model Concept for Space Representation
Yasuyuki Murai*, Suguru Asaoka**, Hiroyuki Tsuji**,
Hisayuki Tatsumi***, and Shinji Tokumasu**
*School of Pharmaceutical Sciences, Nihon Pharmaceutical University, 10281 Komuro, Inamachi, Kita-adachi-gun, Saitama 362-0806, Japan
**Dept. of Information and Computer Sciences, Kanagawa Institute of Technology, 1030 Shimo-ogino, Atsugi, Kanagawa 243-0292, Japan
***Dept. of Computer Science, Tsukuba University of Technology, 4-12-7 Kasuga, Tsukuba, Ibaraki 305-8521, Japan
The distance field model (DFM), a new approach to space reasoning, i.e., the recognition and understanding of space, is realized by introducing the concept that a spatial object placed in a space generates a “distance field” represented by a function that maps arbitrary point P in space into a real number: the distance from P to this object. Analyzing the distance field, it is easy to judge, for example, what the surroundings are or how close obstacles are. To enable readers to understand the DFM concept, we introduce an object-oriented scheme to represent functions, and, by constructing a simplified object-oriented version of 2-dimensional (2D) DFM, we have compactly and comprehensively implemented the model. We also show that DFM is not limited to 2-dimensional space, but can be extended from the original to 3-dimensional (3D) or 2D-3D mixed systems.
Hisayuki Tatsumi, and Shinji Tokumasu, “Distance Field Model Concept for Space Representation,” J. Adv. Comput. Intell. Intell. Inform., Vol.11, No.10, pp. 1241-1249, 2007.
-  I. C. Blaid and C. A. Lang, “Computer aided design of mechanical components with volume building bricks,” Proc., Programing Languages for Machine Tools, pp. 173-184, 1973.
-  N. Okino, Y. Kakazu, and H. Kubo, “TIPS-1: Technical information processing system for computer aided design, drawing and manufacturing,” Proc., Computer Languages for Numerical Control, pp. 141-150, 1973.
-  S. Nonaka, S. Tokumasu, Y. Kawashima, and K. Takahashi, “’A new geometric model,” Proc., The 15th (ASME) Design Automation Conf. on Advances in Design Automation, pp. 135-141, 1989.
-  S. Tokumasu, H. Tatsumi et al., “3D distance measure model and its posture control of the moving bodies,” Proc., Japan USA Symposium on Flexible Automation, pp. 913-920, 1996.
-  T. Kuki, Y. Murai, H. Tatsumi, and S. Tokumasu, “Search of robot passage routes using fuzzy sensing algorithm under unknown environment,” Proc., JSMVL2001 The Second Korea-Japan Joint Symposium on Multiple Valued Logic, pp. 75-78, 2001.
-  Y. Murai, T. Matsuda, H. Tatsumi, and S. Tokumasu, “3D passage navigation under known environments based on distance field space model,” Proc., The 6th Int. Conf. on Engineering Design and Automation, pp. 591-600, 2002.
-  Y. Murai, K. Matsumura, H. Tatsumi, and S. Tokumasu, “Introduction and improvement of genetic programming for intelligent fuzzy robots,” Proc., The 4th Int. Symposium on Advanced Intelligent Systems, pp. 388-391, 2003.
-  Y. Nagata, Y. Murai, H. Tsuji, and S. Tokumasu, “3D passage navigation under unknown environments based on distance field space model,” Proc., The 4th Int. Symposium on Advanced Intelligent Systems, pp. 500-503, 2003.
-  Y. Nagata, Y. Murai, H. Tsuji, and S. Tokumasu, “3D robot navigation under unknown environments,” Proc., Int. Conf. on Intelligent Technologies 2003, pp. 746-754, 2003.