Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (8): 689-694.

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PRIMARY RESEARCH ON SUBJECTIVITY GEOMETRY

云天铨   

  1. Department of Engineering Mechanics.South China University of Technology, Guangzhou
  • 收稿日期:1988-05-30 出版日期:1989-08-18 发布日期:1989-08-18
  • 基金资助:
    Supported by Scientific Foundation of South China University of Technology

PRIMARY RESEARCH ON SUBJECTIVITY GEOMETRY

Yun Tian-quan   

  1. Department of Engineering Mechanics.South China University of Technology, Guangzhou
  • Received:1988-05-30 Online:1989-08-18 Published:1989-08-18
  • Supported by:
    Supported by Scientific Foundation of South China University of Technology

摘要: The so-called "Subjectivity Geometry" herein is a course for studying the relationship between the abstracted object configuration and its observed record by means of mathematical methods and described by matlieinatical language. There are many features differing from the common geometry when the effects of the subjectivity (such as the position of the observer, the functions of the visual system of human) are taken into account during the observing-recording process. In this paper, some basic assumptions are made; spherieal observing record is suggested: the fundamental relationship between the abstracted object configuration and its corresponding observed record is studied and an example of apiriication of the above theory is presented. We anticipate that the study of subjectivity geometry will influencc, or will be associated with the study of physiology of the visual system, applied optics etc., and will be useful in surveying, pilotage and imitative biology, etc.

Abstract: The so-called "Subjectivity Geometry" herein is a course for studying the relationship between the abstracted object configuration and its observed record by means of mathematical methods and described by matlieinatical language. There are many features differing from the common geometry when the effects of the subjectivity (such as the position of the observer, the functions of the visual system of human) are taken into account during the observing-recording process. In this paper, some basic assumptions are made; spherieal observing record is suggested: the fundamental relationship between the abstracted object configuration and its corresponding observed record is studied and an example of apiriication of the above theory is presented. We anticipate that the study of subjectivity geometry will influencc, or will be associated with the study of physiology of the visual system, applied optics etc., and will be useful in surveying, pilotage and imitative biology, etc.

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