視的配景変換系の構成とその応用 (II) : ⊿_0 尺度の二次元化とその写像系の解析

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This paper consists of two experimental study. First, in Experiment IIA, adjustments of subjective parallel vertical line were carried out for the purpose of investigate about perceptual homogeneousness and aptitude of a polar coordinate system (called ⊿ coordinate system), simply 2-dimensionaly extended with the one dimensional scale, constructed by the Auther in previous paper, on the assumption of homogeneous direction angle φ. From the results of multi-regression analyis for the data of estimated error on the adjustment, it is known that the ⊿ coordinate system is perceptualy homogeneous and is regarded as essentialy appropriate system. Moreover, investigating the character of adjusted parallel lines that are perspecively transformed to front parallel plane, it is shown that a hyperbola which is known as Helmholtz's chess-bord is insolvable by means of a fish-eye projection regarding the spherical surface as a functional retina. Second, in Experiment IIB, adjustments of subjective rectangle were carried out. Consequently, it is shown that a problem on character of figure in perceptual dimension is directly solved in Perspective Vision as a character of similar figure in geometric dimension. This fact shows that the hypothesis of the Perspective Vision has a clear meaning in visual space perception, and on the other hand, proving the ⊿ coordinate system is a sufficient approximation for the representation of Perspective Vision. Further, it is suggested that some anisotropy for the ⊿ coordinate system and some visual constancy for judging the parallelness should be latently existed.