On Maxitive Image Processing - LIRMM - Laboratoire d’Informatique, de Robotique et de Microélectronique de Montpellier
Book Sections Year : 2021

On Maxitive Image Processing

Olivier Strauss
Kevin Loquin
  • Function : Author
  • PersonId : 1448848
Florentin Kucharczak

Abstract

Digital image processing has become the most common form of image processing. Many transformations can be achieved by very simple and versatile algorithms such as contrast enhancing, restoration, color correction, etc. However, a wide branch of image processing algorithms make an extensive use of spatial transformations that are only defined in the analog domain such as rotation, translation, zoom, anamorphosis, homography, distortion, derivation, etc. Designing a digital image processing algorithm that mimic a spatial transformation is usually achieved by using the so-called kernel based approach. This approach involves two kernels to ensure the continuous to discrete interplay: the sampling kernel and the reconstruction kernel, whose choice is highly arbitrarily made. The maxitive kernel based approach can be seen as an extension of the conventional kernel based approach that reduces the impact of such an arbitrary choice. Replacing a conventional kernel by a maxitive kernel in a digital image spatial transformation leads to compute the convex set of all the images that would have been obtained by using a (continuous convex set) of conventional kernels. Using this set induces a kind of robustness that can reduce the risk of false interpretation. Medical imaging for example would be a kind of applications that could benefit of such an approach.
Fichier principal
Vignette du fichier
OlivierStrauss.pdf (2.16 Mo) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

lirmm-04798463 , version 1 (22-11-2024)

Identifiers

Cite

Olivier Strauss, Kevin Loquin, Florentin Kucharczak. On Maxitive Image Processing. Fuzzy Approaches for Soft Computing and Approximate Reasoning: Theories and Applications, 394, Springer International Publishing, pp.201-215, 2021, Studies in Fuzziness and Soft Computing, ⟨10.1007/978-3-030-54341-9_18⟩. ⟨lirmm-04798463⟩
3 View
7 Download

Altmetric

Share

More