A bilateral schema for interval-valued image differentiation
- Author
- Carlos Lopez-Molina, Cédric Marco-Detchart, Laura De Miguel, Humberto Bustince, Javier Fernandez and Bernard De Baets (UGent)
- Organization
- Abstract
- Differentiation of interval-valued functions is an intricate problem, since it cannot be defined as a direct generalization of differentiation of scalar ones. Literature on interval arithmetic contains proposals and definitions for differentiation, but their semantic is unclear for the cases in which intervals represent the ambiguity due to hesitancy or lack of knowledge. In this work we analyze the needs, tools and goals for interval-valued differentiation, focusing on the case of interval-valued images. This leads to the formulation of a differentiation schema inspired by bilateral filters, which allows for the accommodation of most of the methods for scalar image differentiation, but also takes support from interval-valued arithmetic. This schema can produce area-, segment-and vector-valued gradients, according to the needs of the image processing task it is applied to. Our developments are put to the test in the context of edge detection.
- Keywords
- EDGE-DETECTION, ANISOTROPIC DIFFUSION, FUZZY-LOGIC, COMPRESSION, MORPHOLOGY
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8553266
- MLA
- Lopez-Molina, Carlos, et al. “A Bilateral Schema for Interval-Valued Image Differentiation.” IEEE International Fuzzy Systems Conference Proceedings, IEEE, 2016, pp. 516–23, doi:10.1109/fuzz-ieee.2016.7737730.
- APA
- Lopez-Molina, C., Marco-Detchart, C., De Miguel, L., Bustince, H., Fernandez, J., & De Baets, B. (2016). A bilateral schema for interval-valued image differentiation. IEEE International Fuzzy Systems Conference Proceedings, 516–523. https://doi.org/10.1109/fuzz-ieee.2016.7737730
- Chicago author-date
- Lopez-Molina, Carlos, Cédric Marco-Detchart, Laura De Miguel, Humberto Bustince, Javier Fernandez, and Bernard De Baets. 2016. “A Bilateral Schema for Interval-Valued Image Differentiation.” In IEEE International Fuzzy Systems Conference Proceedings, 516–23. New York, NY, USA: IEEE. https://doi.org/10.1109/fuzz-ieee.2016.7737730.
- Chicago author-date (all authors)
- Lopez-Molina, Carlos, Cédric Marco-Detchart, Laura De Miguel, Humberto Bustince, Javier Fernandez, and Bernard De Baets. 2016. “A Bilateral Schema for Interval-Valued Image Differentiation.” In IEEE International Fuzzy Systems Conference Proceedings, 516–523. New York, NY, USA: IEEE. doi:10.1109/fuzz-ieee.2016.7737730.
- Vancouver
- 1.Lopez-Molina C, Marco-Detchart C, De Miguel L, Bustince H, Fernandez J, De Baets B. A bilateral schema for interval-valued image differentiation. In: IEEE International Fuzzy Systems Conference Proceedings. New York, NY, USA: IEEE; 2016. p. 516–23.
- IEEE
- [1]C. Lopez-Molina, C. Marco-Detchart, L. De Miguel, H. Bustince, J. Fernandez, and B. De Baets, “A bilateral schema for interval-valued image differentiation,” in IEEE International Fuzzy Systems Conference Proceedings, Vancouver, BC, Canada, 2016, pp. 516–523.
@inproceedings{8553266,
abstract = {{Differentiation of interval-valued functions is an intricate problem, since it cannot be defined as a direct generalization of differentiation of scalar ones. Literature on interval arithmetic contains proposals and definitions for differentiation, but their semantic is unclear for the cases in which intervals represent the ambiguity due to hesitancy or lack of knowledge. In this work we analyze the needs, tools and goals for interval-valued differentiation, focusing on the case of interval-valued images. This leads to the formulation of a differentiation schema inspired by bilateral filters, which allows for the accommodation of most of the methods for scalar image differentiation, but also takes support from interval-valued arithmetic. This schema can produce area-, segment-and vector-valued gradients, according to the needs of the image processing task it is applied to. Our developments are put to the test in the context of edge detection.}},
author = {{Lopez-Molina, Carlos and Marco-Detchart, Cédric and De Miguel, Laura and Bustince, Humberto and Fernandez, Javier and De Baets, Bernard}},
booktitle = {{IEEE International Fuzzy Systems Conference Proceedings}},
isbn = {{9781509006267}},
issn = {{1544-5615}},
keywords = {{EDGE-DETECTION,ANISOTROPIC DIFFUSION,FUZZY-LOGIC,COMPRESSION,MORPHOLOGY}},
language = {{eng}},
location = {{Vancouver, BC, Canada}},
pages = {{516--523}},
publisher = {{IEEE}},
title = {{A bilateral schema for interval-valued image differentiation}},
url = {{http://doi.org/10.1109/fuzz-ieee.2016.7737730}},
year = {{2016}},
}
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