The goal of the project is to develop efficient image reconstruction methods to gain visual information from incorrect, noisy, uncertain projections. We also investigate how structural or geometrical prior information can facilitate an improve the reconstruction if the number of projections is insufficent to get a unique and exact reconstruction.
A novel solution for reassembling a broken object from its parts without established correspondences, where each part is subject to a linear deformation.
Thinning is a frequently used method for skeletonization by modeling the fire-front propagation. We proposed some sequential and parallel 2D thinning algorithms capable of producing topologically correct skeletons.
Thinning is a widely used pre-processing step in digital image processing and pattern recognition. It is an iterative layer by layer erosion until only the "skeletons" of the objects are left. We proposed some parallel thinning algorithms that are based on some sufficient conditions for topology preservation.
We consider the problem of estimation the parameters of transformations aligning two binary images. The advantage of our algorithm is that it is easy to implement, less sensitive to the strength of the deformation, and robust against segmentation errors.
We consider the problem of planar shape registration on binary images. Our primary goal is to investigate novel methodologies which work without feature point extraction and established correspondences; avoid the solution of complex optimization problems; and provide an exact solution regardless of the strength of the distortion. The newly developed techniques are validated on medical images.
New approaches in Discrete Tomography are investigated. Studies are concentrating on absorbed projections, fan-beam geometry, new geometrical properties of discrete sets. Besides, new application fields (such as neutron radiography) are studied.
The `gas of circles' (GOC) model is a tool to describe a set of circles with an approximately fixed radius. The model is based on the higher-order active contour (HOAC) framework. The method has been succesfully applied to tree crown extraction on aerial images.