This paper introduces a topological approach to detection of image tampering for forensics
purposes. This is based on the emerging Topological Data Analysis (TDA) concept of …

We use persistent homology in order to define a family of fractal dimensions, denoted dim
PH i (μ)\dim _ PH^ i (μ) for each homological dimension i≥ 0, assigned to a probability …

Persistent homology is an important tool in non-linear data reduction. Its sister theory,
persistent cohomology, has attracted less attention in the past years eventhough it has many …

This paper presents a topology-based global descriptor that allows for efficient 3D point
cloud processing tasks associated with the analysis of shapes. The descriptor is called the …

Topological data analysis uses tools from topology--the mathematical area that studies
shapes--to create representations of data. In particular, in persistent homology, one studies …

The increasing interest in big data applications is ushering in a large effort in seeking new,
efficient, and adapted data models to reduce complexity, while preserving maximal intrinsic …

Gait recognition is nowadays an important biometric technique for video surveillance tasks,
due to the advantage of using it at distance. However, when the upper body movements are …

The automatic detection of suspicious abandoned objects has become a priority in video
surveillance in the last years. Terrorist attacks, improperly parked vehicles, abandoned drug …

There are surveillance scenarios where it is important to emit an alarm when a person
carrying an object is detected. In order to detect when a person is carrying an object, we …

Image inpainting is the process of filling in the missing region to preserve continuity of its
overall content and semantic. In this paper, we present a novel approach to improve an …