In this work we present two new algorithms for the detection of circle
s and ellipses which use the FHT algorithm as a basis: Fast Circle Hou
gh Transform (FCHT) and Fast Ellipse Hough Transform (FEHT). The first
stage of these two algorithms, devoted to obtaining the centers of th
e figures, is computationally the most costly. With the objective of i
mproving the execution times of this stage it has been implemented usi
ng a new focusing algorithm instead of the typical polling process in
a parameter space. This new algorithm uses a new strategy that manages
to reduce the execution times, especially in the case where multiple
figures appear in the image, or when they are of very different sizes.
We also perform a labeling of the image points that permits discrimin
ating which of these belong to each figure, saving computations in sub
sequent stages. (C) 1997 Pattern Recognition Society. Published by Els
evier Science Ltd.