2000 |
Fernand Meyer, Petros Maragos Nonlinear scale-space representation with morphological levelings Journal Article Journal of Visual Communication and Image Representation, 11 (2), pp. 245–265, 2000, ISSN: 10473203. Abstract | BibTeX | Links: [PDF] @article{113, title = {Nonlinear scale-space representation with morphological levelings}, author = {Fernand Meyer and Petros Maragos}, url = {http://robotics.ntua.gr/wp-content/uploads/publications/MeyerMaragos_NonlinScaleSpaceLevelings_JVCIR2000.pdf}, doi = {10.1006/jvci.1999.0447}, issn = {10473203}, year = {2000}, date = {2000-01-01}, journal = {Journal of Visual Communication and Image Representation}, volume = {11}, number = {2}, pages = {245--265}, abstract = {In this paper we present a nonlinear scale-space representation based on a general class of morphological strong filters, the levelings, which include the openings and closings by reconstruction. These filters are very useful for image simplification and segmentation. From one scale to the next, details vanish, but the contours of the remaining objects are preserved sharp and perfectly localized. Both the lattice algebraic and the scale-space properties of levelings are analyzed and illustrated. We also develop a nonlinear partial differential equation that models the generation of levelings as the limit of a controlled growth starting from an initial seed signal. Finally, we outline the use of levelings in improving the Gaussian scale-space by using the latter as an initial seed to generate multiscale levelings that have a superior preservation of image edges. textcopyright 2000 Academic Press.}, keywords = {}, pubstate = {published}, tppubtype = {article} } In this paper we present a nonlinear scale-space representation based on a general class of morphological strong filters, the levelings, which include the openings and closings by reconstruction. These filters are very useful for image simplification and segmentation. From one scale to the next, details vanish, but the contours of the remaining objects are preserved sharp and perfectly localized. Both the lattice algebraic and the scale-space properties of levelings are analyzed and illustrated. We also develop a nonlinear partial differential equation that models the generation of levelings as the limit of a controlled growth starting from an initial seed signal. Finally, we outline the use of levelings in improving the Gaussian scale-space by using the latter as an initial seed to generate multiscale levelings that have a superior preservation of image edges. textcopyright 2000 Academic Press. |
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