Multi-level decomposition of Euclidean spheres.
Michael S. Vaz, Atilla P. Kiraly, Russell M. Mersereau · Biblioteca Digital da Memória Científica do INPE (National Institute for Space Research) · 2007
Mathematical Morphology (MM) is used in medical image analysis for applications such as segmentation and skeletonization. The available efficient MM methods do not readily adapt to true Euclidean disc/sphere structuring elements (SE), which we are particularly interested in, without sacrificing accuracy for efficiency. An efficient method for MM using convex/symmetric SE, including Euclidean discs/spheres, is presented. Performance results for a chest CT dataset are presented for the proposed method and a commercially available software package. Increasing gains of the method for larger SE are demonstrated, making the method suitable for analysis of high resolution images. The method is efficient for iso/anisotropic SE.