Antialiasing the Hough transform

N. Kiryati*, A. M. Bruckstein

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The discretization of the Hough transform parameter plane is considered. It is shown that the popular accumulator method implies sampling of a nonbandlimited signal. The resultant aliasing accounts for several familiar difficulties in the algorithm. Bandlimiting the parameter plane would allow Nyquist sampling, thus aliasing could be avoided. An effectively alias-free Hough algorithm is presented and analyzed. The uncertainty principle of signal representation induces a compromise between image-space localization and parameter-space sampling density, as well as an upper bound on the performance of the algorithm. These results contribute to the development of a design methodology for hierarchical "coarse to fine" Hough algorithms.

Original languageEnglish
Pages (from-to)213-222
Number of pages10
JournalCVGIP: Graphical Models and Image Processing
Volume53
Issue number3
DOIs
StatePublished - May 1991
Externally publishedYes

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