Composition systems

被引:59
作者
Geman, S [1 ]
Potter, DF [1 ]
Chi, ZY [1 ]
机构
[1] Brown Univ, Div Appl Math, Providence, RI 02912 USA
关键词
D O I
10.1090/qam/1939008
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A mathematical formulation of compositionality was presented. Recursive application of the composition rules were found to define the set of recognizable objects. Composition rules were added to allow two colinear straight lines to bind to form a larger straight line. Analysis showed that any collection of composition rules together with the set T of primitives defined a set or library, of objects.
引用
收藏
页码:707 / 736
页数:30
相关论文
共 41 条
[1]  
[Anonymous], 1938, SOURCE BOOK GESTALT
[2]   RECOGNITION-BY-COMPONENTS - A THEORY OF HUMAN IMAGE UNDERSTANDING [J].
BIEDERMAN, I .
PSYCHOLOGICAL REVIEW, 1987, 94 (02) :115-147
[3]  
BIENENSTOCK E, 1991, P ROYAUM INT WORKSH
[4]   APPLYING PROBABILITY MEASURES TO ABSTRACT LANGUAGES [J].
BOOTH, TL ;
THOMPSON, RA .
IEEE TRANSACTIONS ON COMPUTERS, 1973, C 22 (05) :442-449
[5]   A MINIMUM DESCRIPTION LENGTH MODEL FOR RECOGNIZING OBJECTS WITH VARIABLE APPEARANCES (THE VAPOR MODEL) [J].
CANNING, J .
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1994, 16 (10) :1032-1036
[6]  
CASADEI S, 1996, P IEEE COMP SOC C CO
[7]  
CHI Z, 1998, THESIS BROWN U
[8]  
CHOMSKY N, 1976, SYNTACTIC STRUCTURES
[9]  
Chomsky Noam., 1987, Language and Problems of Knowledge: The Managua Lectures
[10]  
COOPER DB, 1974, P 2 INT JOINT C PATT, P111