Line connectivity algorithms for an asynchronous pyramid computer

Line tracing, which has been conjectured to play an important role in the visual perception of connectivity relations, is examined in this paper from the computational point of view. The problem is formulated in terms of pixel connectivity, with thin black lines on a white background serving as input. The complexity of line tracing is discussed relative to several computation models. Two algorithms for a MIMD pyramid with running time better than linear in the line length are presented and analyzed. Their performance is discussed in view of the available psychophysical results, and compared to that of several previously published algorithms.

[1]  S. Ullman Visual routines , 1984, Cognition.

[2]  Michael Henle,et al.  A combinatorial introduction to topology , 1978 .

[3]  Alan Bundy,et al.  Image Data Structures , 1984 .

[4]  Shimon Edelman,et al.  Quadtrees in Concurrent PROLOG , 1985, ICPP.

[5]  Stephen A. Cook,et al.  The Classifikation of Problems which have Fast Parallel Algorithms , 1983, FCT.

[6]  S. Ullman,et al.  Curve tracing: A possible basic operation in the perception of spatial relations , 1986, Memory & cognition.

[7]  Sartaj Sahni,et al.  Finding Connected Components and Connected Ones on a Mesh-Connected Parallel Computer , 1980, SIAM J. Comput..

[8]  Hanan Samet,et al.  The Quadtree and Related Hierarchical Data Structures , 1984, CSUR.

[9]  C. V. Kameswara Rao,et al.  Checking connectivity preservation properties of some types of picture processing operations , 1978 .

[10]  Narendra Ahuja,et al.  Multiprocessor Pyramid Architectures for Bottom-Up Image Analysis , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[11]  Uzi Vishkin,et al.  An O(log n) Parallel Connectivity Algorithm , 1982, J. Algorithms.

[12]  Jerome A. Feldman,et al.  Rochester Connectionist Papers: 1979-1984. Revision , 1984 .

[13]  S. L. Tanimoto,et al.  Image Processing with Hierarchical Cellular Logic , 1985 .

[14]  Azriel Rosenfeld,et al.  Multiresolution image processing and analysis , 1984 .

[15]  James Christopher Wyllie,et al.  The Complexity of Parallel Computations , 1979 .