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| 001 | 1046459 | ||
| 005 | 20260122125235.0 | ||
| 024 | 7 | _ | |a 10.1007/s10851-025-01267-5 |2 doi |
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| 100 | 1 | _ | |a Kahra, Marvin |0 P:(DE-HGF)0 |b 0 |e Corresponding author |
| 245 | _ | _ | |a Matrix-Valued LogSumExp Approximation for Colour Morphology |
| 260 | _ | _ | |a Dordrecht [u.a.] |c 2025 |b Springer Science + Business Media B.V |
| 336 | 7 | _ | |a article |2 DRIVER |
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| 520 | _ | _ | |a Mathematical morphology is a part of image processing that employs a moving window to modify pixel values through the application of specific operations. The supremum and infimum are pivotal concepts, yet defining them in a general sense for high-dimensional data such as colour is a challenging endeavour. As a result, a number of different approaches have been taken to try to find a solution, with certain compromises being made along the way. In this paper, we present an analysis of a novel approach that replaces the supremum within a morphological operation with the LogExp approximation of the maximum for matrix-valued colours. This approach has the advantage of extending the associativity of dilation from the one-dimensional to the higher-dimensional case. Furthermore, the minimality property is investigated and a relaxation specified to ensure that the approach is continuously dependent on the input data. |
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| 700 | 1 | _ | |a Breuß, Michael |0 P:(DE-HGF)0 |b 1 |
| 700 | 1 | _ | |a Kleefeld, Andreas |0 P:(DE-Juel1)169421 |b 2 |u fzj |
| 700 | 1 | _ | |a Welk, Martin |0 P:(DE-HGF)0 |b 3 |
| 773 | _ | _ | |a 10.1007/s10851-025-01267-5 |g Vol. 67, no. 5, p. 52 |0 PERI:(DE-600)1479363-5 |n 5 |p 52 |t Journal of mathematical imaging and vision |v 67 |y 2025 |x 0924-9907 |
| 856 | 4 | _ | |u https://juser.fz-juelich.de/record/1046459/files/s10851-025-01267-5.pdf |y OpenAccess |
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