Multiresolution Analysis of the Intensity Axis of Symmetry

The previous three chapters defined the intensity axis of symmetry (IAS), described an implementation of the IAS and illustrated the application of this shape description to the problem of image segmentation. This chapter describes the multiresolution behavior of the IAS and outlines two methods for calculating a quasi-hierarchical shape description based on this information. The first method uses the close relationship between symmetry and maximal curvature while the second approach makes use of the approximate relationship between symmetry and watershed boundaries. This chapter concludes with a summary of unsolved problems and suggestions for future work.