Generating Quasi-symbolic Representation of Three-Dimensional Flow


Understanding flow in the three-dimensional phase space is challenging both to human experts and to current computer science technology . To break through the barrier, we are building a program called PSX3 that can autonomously explore the flow in a three-dimensional phase space, by integrating Al and numerical techniques . In this paper, I point out that quasi-symbolic representation called flow mappings is effective as a means of capturing qualitative aspects of threedimensional flow and present a method of generating flow mappings for a system of ordinary differential equations with three unknown functions . The method is based on a finding that geometric cues for generating a set of flow patterns can be classified into five categories . I demonstrate how knowledge about interaction of geometric cues is utilized for intelligentlycontrolling numerical computation .

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@inproceedings{Nishida1993GeneratingQR, title={Generating Quasi-symbolic Representation of Three-Dimensional Flow}, author={Toyoaki Nishida}, booktitle={AAAI}, year={1993} }