Parallel Line Grouping and Irregular Curve Pyramids (bibtex)

by Walter G. Kropatsch, Dieter Willersinn

Abstract:

Parallel lines are important features for object recognition by grouping. Regular 2x2/2 curve pyramids are hierarchical symbolic representations of curves that can be constructed and processed in logarithmic time. The rigidity of the regular structure causes an unstable, shift variant representation of parallel lines. In order to usefully apply the concept of the curve pyramid on grouping problems, the shift variance problem had to be overcome by extending the concept to irregular pyramids. These have a structure that adapts to the image data by deriving control information from curve relations. The algorithm that builds the irregular curve pyramid by deriving higher levels of abstraction from a set of relations goes far beyond merely solving the shift variance problem. It can reduce the computational complexity in comparable applications where all possible combinations of parts have to be checked in order to reassemble complex objects.

Reference:

Parallel Line Grouping and Irregular Curve Pyramids (Walter G. Kropatsch, Dieter Willersinn), Technical report, PRIP, TU Wien, 1994.

Bibtex Entry:

@TechReport{TR022, author = "Walter G. Kropatsch and Dieter Willersinn", institution = "PRIP, TU Wien", number = "PRIP-TR-022", title = "Parallel {L}ine {G}rouping and {I}rregular {C}urve {P}yramids", year = "1994", url = "ftp://ftp.prip.tuwien.ac.at/pub/publications/trs/tr22.pdf", abstract = "Parallel lines are important features for object recognition by grouping. Regular 2x2/2 curve pyramids are hierarchical symbolic representations of curves that can be constructed and processed in logarithmic time. The rigidity of the regular structure causes an unstable, shift variant representation of parallel lines. In order to usefully apply the concept of the curve pyramid on grouping problems, the shift variance problem had to be overcome by extending the concept to irregular pyramids. These have a structure that adapts to the image data by deriving control information from curve relations. The algorithm that builds the irregular curve pyramid by deriving higher levels of abstraction from a set of relations goes far beyond merely solving the shift variance problem. It can reduce the computational complexity in comparable applications where all possible combinations of parts have to be checked in order to reassemble complex objects.", }

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