Title : Detection of Lines with Wiggles using the Radon Transform
Author : Peter Toft
Department of Mathematical Modelling,
Technical University of Denmark,
DK-2800 Lyngby, Denmark
Email: pto@imm.dtu.dk
Presented at: NORSIG 96
Abstract
The discrete Radon transform is a useful tool in image processing for
detection of lines (or in general curves) in digital images.
One of the key properties of the discrete Radon transform is that a
line in an image is transformed into a peak in the parameter domain,
where the position of the peak corresponds to the line parameters.
What often is needed, is to determine whether a Radon transform based
curve detection algorithm will work in presence of noise.
Lately analytical expressions for the probability of detecting a curve
in presence of additive noise has been analyzed, and in this paper
another kind of noise is analyzed theoretically, namely that the lines
in the images might not be perfectly linear but include some random
misalignment, here called wiggles.