%0 Conference Proceedings
%4 dpi.inpe.br/vagner/1999/11.29.09.56
%2 sid.inpe.br/banon/2001/03.30.15.58.21
%@doi 10.1109/SIBGRA.1999.805728
%T Curvature operators in geometric image processing
%D 1999
%A Mota, Cicero,
%A Gomes, Jonas,
%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 223-230
%S Proceedings
%1 SBC - Brazilian Computer Society and UNICAMP - University of Campinas
%K image coding, image reconstruction, image processing, image compression.
%X In this work we study the problem of reconstructing an image from a perceptual segmentation based on a geometric classification of its points using non-linear curvature filters. We give a mathematical proof that an image can be reconstructed from the regions of non-zero gaussian curvatures. This result provides the theoretical background for a new theory of non-linear two dimensional signal processing as proposed by C. Zetzche, E. Barth and B. Wegman ([15, 16]). We use curvature measures to detect edges and vertices (roughly two dimensional regions) and show that reconstruction is possible from these elements.
%3 050-10397279.pdf
%O The conference was held in Campinas, SP, Brazil, from October 17 to 20.