Name
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. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1109/FUZZ-IEEE.2016.7737730 | 2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE) |
Keywords | Field | DocType |
bilateral schema,interval-valued image differentiation,interval-valued functions,differentiation schema,bilateral filters,scalar image differentiation,interval-valued arithmetic,image processing task,edge detection | Feature detection (computer vision),Computer science,Edge detection,Visualization,Scalar (physics),Image processing,Theoretical computer science,Interval arithmetic,Ambiguity,Schema (psychology) | Conference |
ISSN | ISBN | Citations |
1544-5615 | 978-1-5090-0627-4 | 1 |
PageRank | References | Authors |
0.36 | 36 | 6 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Carlos Lopez-Molina | 1 | 231 | 21.58 |
| Cédric Marco-Detchart | 2 | 15 | 5.80 |
| Laura De Miguel | 3 | 71 | 11.23 |
| Humberto Bustince | 4 | 1938 | 134.10 |
| Javier Fernandez | 5 | 782 | 46.37 |
| Bernard De Baets | 6 | 2994 | 300.39 |