25 March 1996 Symmetrization of grey-scale images based on dilation
Author Affiliations +
We generalize set symmetrization transformations based on Minkowski addition to symmetrization transformations for numerical functions. For this purpose two types of function representation are used. The first one is umbra representation, when symmetrization transformations are performed to the set of points under the graph of a function. This corresponds to introducing of transformations using gray-scale dilation. The second representation of a function is based on a family of threshold sets. Flat function symmetrization transformations are generated by corresponding set transformations operating on threshold sets.
© (1996) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Alexander V. Tuzikov, Alexander V. Tuzikov, O. V. Krivonos, O. V. Krivonos, } "Symmetrization of grey-scale images based on dilation", Proc. SPIE 2662, Nonlinear Image Processing VII, (25 March 1996); doi: 10.1117/12.235836; https://doi.org/10.1117/12.235836

Back to Top