Relative-perfectness of discrete gradient vector fields and multi-parameter persistent homology
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Combinatorial Optimization"
DOI: 10.1007/s10878-021-00729-x
Abstract: The combination of persistent homology and discrete Morse theory has proven very effective in visualizing and analyzing big and heterogeneous data. Indeed, topology provides computable and coarse summaries of data independently from specific coordinate systems… read more here.
Keywords: gradient vector; perfectness; discrete gradient; homology ... See more keywords
Allowing cycles in discrete Morse theory
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DOI: 10.1016/j.topol.2017.05.008
Abstract: Discrete gradient vector fields are combinatorial structures that can be used for accelerating the homology computation of CW complexes, such as simplicial or cubical complexes, by reducing their number of cells. Consequently, they provide a… read more here.
Keywords: vector; gradient vector; allowing cycles; vector field ... See more keywords
Small Maritime Target Detection Using Gradient Vector Field Characterization of Infrared Image
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing"
DOI: 10.1109/jstars.2022.3210112
Abstract: Infrared small maritime target detection under strong ocean waves, a challenging task, plays a key role in maritime distress target search and rescue applications. Many methods based on directionality or gradient properties have proven to… read more here.
Keywords: vector field; gradient vector; detection; target ... See more keywords