Abstract
This paper presents new theoretical contributions on scale-space representations based on levelings through hierarchies of level sets, i.e., component trees and tree of shapes. Firstly, we prove that reconstructions of pruned trees (component trees and tree of shapes) are levelings. After that, we present a new and fast algorithm for computing the reconstruction based on marker images from component trees. Finally, we show how to build morphological scale-spaces based on levelings through the reconstructions of successive pruning operations (whether based on increasing attributes or marker images).
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Alves, W.A.L., Morimitsu, A., Hashimoto, R.F. (2015). Scale-Space Representation Based on Levelings Through Hierarchies of Level Sets. In: Benediktsson, J., Chanussot, J., Najman, L., Talbot, H. (eds) Mathematical Morphology and Its Applications to Signal and Image Processing. ISMM 2015. Lecture Notes in Computer Science(), vol 9082. Springer, Cham. https://doi.org/10.1007/978-3-319-18720-4_23
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DOI: https://doi.org/10.1007/978-3-319-18720-4_23
Publisher Name: Springer, Cham
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