Primary research on Subjectivity Geometry

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 mathematical 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; spherical observing record is suggested; the fundamental relationship between the abstracted object configuration and its corresponding observed record is studied and an example of application of the above theory is presented. We anticipate that the study of subjectivity geometry will influence, 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.