In 2011, we published two journal papers and two conference papers on this subject. For example, a survey paper on digital distance functions on three-dimensional grids and a paper on neighborhood sequences in a hexagonal grid.
In 2011, mainly papers on distance functions have been published in this project, see Project 37. See also Project 9.
Depending on how the distance measure is defined, it exhibits different properties, such as metricity, monotonicity, continuity, sensitivity to noise, complexity and speed of computation. It is therefore of interest to study and further develop different set distance measures, to be able to select appropriate distances for the different applications. In this project we evaluate existing and develop new set distances which are useful in image registration related problems. Of particular interest are properties of monotonicity and continuity.
We have proposed a new set distance between crisp sets of points and evaluated its usefulness for rigid body registration of binary images as well as its applicability for the real task of multi-modal 2D-3D registration of 2D histological sections of bone implant with corresponding 3D synchrotron radiation micro computed tomography (SRCT) bone implant volumes. This work is submitted for a journal publication.
We extended the proposed set distance for crisp sets to a distance between fuzzy sets and observed the improved registration performance when utilizing fuzzy object representations, as compared to using a crisp object representation of the same resolution. Results of this study were presented at the 14th International Workshop on Combinatorial Image Analysis (IWCIA2011).
During 2011, some of the project findings were presented at the 3DIMPVT conference in Hangzhou, China.