Fuzzy shape analysis in 2D and 3D
Ingela Nyström, Joakim Lindblad, Gunilla Borgefors
Funding: SLU S Faculty, UU TN Faculty
Period: 0109-
Partners:
Nataša Sladoje (Matic), Faculty of Engineering, University of Novi Sad, Serbia;
Abstract: The advantages of representing objects in images
as fuzzy spatial sets are numerous and have lead to increased
interest for fuzzy approaches in image analysis. Fuzziness is an
intrinsic property of images and a natural outcome
of most imaging devices. Preservation of fuzziness implies
preservation of important information about objects and images.
Our previous results within this project show that an improved precision
of a shape description can be achieved if the description is based on
a fuzzy, instead of a crisp shape representation, where the fuzzy
membership of a point reflects the level to which that point belongs to the object.
During 2006, a manuscript on the representation and reconstruction of fuzzy
disks by moments, containing derivation of theoretical error bounds for the
accuracy of the estimation of moments of a continuous fuzzy disk from the
moments of its digitization, as well as showing that, for a certain class of
membership functions, there exists a one-to-one correspondence between
the set of fuzzy disks and the set of their generalized moment representations,
was accepted for publication in the Fuzzy Sets and Systems journal.