
Types of geometrical transformations and perceptual similarity of figures
Author(s) -
Dragan Rangelov
Publication year - 2004
Publication title -
psihologija
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.222
H-Index - 16
eISSN - 1451-9283
pISSN - 0048-5705
DOI - 10.2298/psi0404483r
Subject(s) - mathematics , projection (relational algebra) , similarity (geometry) , plane (geometry) , perception , transformation (genetics) , set (abstract data type) , rotation (mathematics) , combinatorics , communication , pure mathematics , geometry , psychology , artificial intelligence , image (mathematics) , computer science , algorithm , neuroscience , biochemistry , chemistry , gene , programming language
In this study it was investigated which of several types of geometrical transformations emerge as dominant principle in grouping forms. It was assumed that forms which have more similar features would be grouped together more often. The stimuli consisted of basic form (O) and it’s transformation: (T1) rotation; (T2) projection onto horizontal plane; (T3) projection onto vertical plane; (T4) stretching and (T5) twisting. There were two groups of stimuli: (G1) asymmetrical planes and (G2) linear patterns. Stimuli varied in complexity (i.e. number of lines they contain): (S1) four; (S2) five and (S3) six.The sets of stimuli were created given by formula O-Tm-Tn. Subjects were asked to choose which of the stimuli from the set doesn’t go along with others. Results showed that the stimuli would be grouped together more often if they had more common features. These results were obtained for both groups of stimuli and all levels of complexity