%0 Conference Proceedings
%4 dpi.inpe.br/vagner/1999/11.29.10.09
%2 sid.inpe.br/banon/2001/03.30.15.58.30
%@doi 10.1109/SIBGRA.1999.805734
%T Design of statistically optimal stack filters
%D 1999
%A Hirata, N. S. T.,
%A Barrera, J.,
%A Dougherty, E. R.,
%E Stolfi, Jorge,
%E Tozzi, Clésio Luis,
%B Brazilian Symposium on Computer Graphics and Image Processing, 12 (SIBGRAPI)
%C Campinas, SP, Brazil
%8 17-20 Oct. 1999
%I IEEE Computer Society
%J Los Alamitos
%P 265-274
%S Proceedings
%1 SBC - Brazilian Computer Society and UNICAMP - University of Campinas
%K stack filters, design, gray-scale, filters.
%X Any gray-scale image can be represented as a stack of a decreasing sequence of binary images, obtained by thresholding the gray-scale image at each level. Stack filters are a special class of gray-scale image operators whose filtered images can be represented as the stack of binary images resulting of applying an increasing binary operator for each image of the stack. A classical example of stack filter is the median filter: the median of a gray-scale image is the same as the sum of the binary median computed for each of the binary images in the stack. Thus, the design of stack filters can be reduced to the design of the binary operators that characterize them. This paper reviews stack filters in the context of mathematical morphology on discrete images, and shows that the problem of designing optimal mean-absolute error (MAE) stack filters is an optimization problem equivalent to the design of optimal MAE binary increasing operators. A new combinatorial algorithm for designing binary increasing operators is applied on the design of stack filters for impulse and speckle noise reduction.
%3 059-28361096.pdf
%O The conference was held in Campinas, SP, Brazil, from October 17 to 20.