Our long standing work based on distance transforms and related algorithms continues, it is now mainly focussed on volume images. Robin Strand is studying distance transforms and skeletons in multi-dimensional images with more general tesselations than the common cubic one. He is PhD student at CBA funded by the Graduate School in Mathematics and Computing (FMB) at UU. Gunilla Borgefors is also main supervisor for Erik Melin who is PhD student at the Dept. of Mathematics at UU funded by the FMB. And she is assistant supervisor to Hania Uscka-Wehlou also at Dept. of Mathematics, UU. Mathematics Professor Emeritus Christer Kiselman is assistant supervisor to these students.
By representing objects in a fuzzy rather than crisp, binary way several advantages can be obtained, albeit at the expense of increased complexity. We have been studying how to obtain more precise measurements, shape decomposition methods and methods for defuzzification which can give representations with increased resolution. By grey-weighting distance measures similar advantages can be obtained as with some fuzzy approaches and visiting researcher Céline Fouard has together with PhD student Magnus Gedda compared diffferent such measures. Also Stina Svensson looked at the possibility of improving the HCMA algorithm by adding grey-weighting. Joakim Lindblad and Ingela Nyström are also active in this area.
Although hardly a theoretical project, our long term effort of developing a well functioning general image analysis platform to be used for our research and teaching is mentioned under this heading since it is non-application specific. That project has gone on also this year with about 30% of Bo Nordin's time.