M. Ikeda et A. Ishiguchi, THE DETECTION OF MIRROR-SYMMETRY STRUCTURE PROJECTED ON A FRONTAL PLANE WITH THE CENTRAL PROJECTION METHOD, Shinrigaku Kenkyu, 69(3), 1998, pp. 188-197
Many previous studies on symmetry perception indicated the importance
of the intrinsic feature in mirror symmetry that the symmetry axis ort
hogonally bisects virtual lines between the symmetry pairs in detectin
g their 2-D mirror symmetry. In the present study, we used 2-D mirror
symmetrical dot patterns on a plane in 3-D space which were rotated in
depth and projected on a frontal plane with the central projection me
thod. Using these stimuli, we investigated the validity of the above f
eature in the detection of 2-D symmetrical structure in 3-D space. The
results showed that 2-D symmetry is detected quickly and exactly in m
any conditions even if the symmetrical patterns do not hold the above
intrinsic feature. In addition, the results of our experiments indicat
ed that symmetry axis has some effects on detection of 2-D symmetry pa
ttern in 3-D space as in the case of the usual 2-D symmetry detection.