Topology on Digital Label Images

Robustness of topology of digital images and point clouds

Such modern applications of topology as digital image analysis and data analysis have to deal with noise and other uncertainty. In this environment, the data structures often appear "filtered" into a sequence of cell complexes. We introduce the homology group of the filtration as a generalization of the homology group of a single cell complex. It is the group of all possible homology classes of...

Topology of Digital Images - Visual Pattern Discovery in Proximity Spaces

Reading a book is also kind of better solution when you have no enough money or time to get your own adventure. This is one of the reasons we show the topology of digital images visual pattern discovery in proximity spaces intelligent systems reference library as your friend in spending the time. For more representative collections, this book not only offers it's strategically book resource. It...

Problems in the Topology of Binary Digital Images

Temperature Mapping Using Ultrasound Digital Images

Introduction:  The  success  of  hyperthermia  depends  on  the  accuracy  of  the  temperature  monitoring in the tumor and the surrounding normal tissue. In this study, the temperature changes  were determined by computing the speckle displacement in the ultrasound digital images. Speckle  tracking algorithm was used to compute the displacement.  Materials and Methods: The experiment was perf...

Axiomatic Digital Topology

As explained in the lecture "Introduction", topological notions of connectedness and of the boundary of a subset are important for image analysis. The widely used concept of m, nadjacencies defines these notions not satisfactorily: different adjacencies for the foreground and background are only applicable for binary images. A subset has two boundaries: the inner and the outer ones. They do not...