This paper presents new theoretical contributions on scalespace 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).
CITATION STYLE
Alves, W. A. L., Morimitsu, A., & Hashimoto, R. F. (2015). Scale-space representation based on levelings through hierarchies of level sets. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 9082, 265–276. https://doi.org/10.1007/978-3-319-18720-4_23
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