Computing contour trees in all dimensions
Computational Geometry: Theory and Applications - Fourth CGC workshop on computional geometry
Concurrent Computation of Attribute Filters on Shared Memory Parallel Machines
IEEE Transactions on Pattern Analysis and Machine Intelligence
Antiextensive connected operators for image and sequence processing
IEEE Transactions on Image Processing
Efficient 2-D Grayscale Morphological Transformations With Arbitrary Flat Structuring Elements
IEEE Transactions on Image Processing
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In this paper we provide an efficient parallel algorithm for reconstruction from markers, and multi-scale analysis through differential morphological profiles, which are top-hat scale spaces based on openings and closings by reconstruction. The new algorithms provide speed gain in two ways: (i) through parallelism, and (ii) through more efficient re-use of previously computed data. The best version of the algorithm provided a 17× speed-up on 24 cores, over computation of the same algorithm on a single core. Compared to the basic method of repeated reconstructions by a sequential algorithm, a speed gain of 25.1 times was obtained.