Geometric Properties of the Union of Maximal Neighborhoods

Authors:
L. P. Cordella;G. Sanniti di Baja
Affiliations:
-;-
Venue:
IEEE Transactions on Pattern Analysis and Machine Intelligence
Year:
1989

Citing 3
Cited 1

Computation of geometric properties from the medial axis transform in O (n log n) time

Computer Vision, Graphics, and Image Processing
A vectorizer and feature extractor for document recognition

Computer Vision, Graphics, and Image Processing
Digital Picture Processing

Digital Picture Processing

Visual form processing

Journal of Visual Languages and Computing

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Abstract

The problem of computing area and perimeter of a digital figure presented by its discrete medial axis transform (MAT) is addressed. The figure is seen as the union of the square-shaped maximal neighborhoods centered on the local maxima of the MAT. The contribution given by each maximal neighborhood to figure area and perimeter is computed while tracing the MAT. Multiple overlaps among the maximal neighborhoods are possible. However, due to the properties of the local maxima and their associated maximal neighborhoods a single tracing of the MAT is provided to be sufficient to obtain the desired result. Thus, the procedure requires O(N) time, where N is the number of MAT pixels.