Structural Analysis of the Additive Noise Impact on the Α-Tree
Type
Event
Date
Sep 25, 2023 — Sep 28, 2023
Location
Atlantica Miramare Beach Hotel
Limassol,
Abstract
Hierarchical representations are very convenient tools when working with
images. Among them, the α-tree is the basis of several powerful
hierarchies used for various applications such as image simplification,
object detection, or segmentation. However, it has been demonstrated that
these tasks are very sensitive to the noise corrupting the image. While the
quality of some α-tree applications has been studied, including some
with noisy images, the noise impact on the whole structure has been little
investigated. Thus, in this paper, we examine the structure of
α-trees built on images corrupted by some noise with respect to the
noise level. We compare its effects on constant and natural images, with
different kinds of content, and we demonstrate the relation between the
noise level and the distribution of every α-tree node depth.
Furthermore, we extend this study to the node persistence under a given
energy criterion, and we propose a novel energy definition that allows
assessing the robustness of a region to the noise.