Lower order circle and ellipse Hough transform

In this work we present two new algorithms for the detection of circles and ellipses which use the FHT algorithm as a basis: Fast Circle Hough Transform (FCHT) and Fast Ellipse Hough Transform (FEHT). The first stage of these two algorithms, devoted to obtaining the centers of the figures, is computationally the most costly. With the objective of improving the execution times of this stage it has been implemented using 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, specially in the case where multiple figures appear in the image, or when they are of very different sizes. We also perform a labelling of the image points that permits discriminating which of these belong to each figure, saving computations in subsequent stages.