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Volume 66, Issue 1Jan 2024
Reflects downloads up to 10 Nov 2024Bibliometrics
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research-article
Introducing Poset-Based Connected n-Manifolds and P-well-composedness in Partially Ordered Sets
Abstract

In discrete topology, discrete surfaces are well-known for their strong topological and regularity properties. Their definition is recursive, and checking if a poset is a discrete surface is tractable. Their applications are numerous: when domain ...

research-article
Dynamic-Clustering Extreme Intensity Prior Based Blind Image Deblurring
Abstract

In blind image deblurring, feasible solutions have been obtained by exploiting image prior information such as dark channel prior, extreme channel prior, and local minimal intensity prior. The performance highly depends on these priors, which may ...

research-article
Regularising Inverse Problems with Generative Machine Learning Models
Abstract

Deep neural network approaches to inverse imaging problems have produced impressive results in the last few years. In this survey paper, we consider the use of generative models in a variational regularisation approach to inverse problems. The ...

research-article
On Strong Basins of Attractions for Non-convex Sparse Spike Estimation: Upper and Lower Bounds
Abstract

In this article, we study the size of strong basins of attractions for the non-convex sparse spike estimation problem. We first extend previous results to obtain a lower bound on the size of sets where gradient descent converges with a linear rate ...

research-article
Geometric Conditions for the Existence or Non-existence of a Solution to the Perspective 3-Point Problem
Abstract

Direct and fairly simple geometric criteria are proved to be necessary for the Perspective 3-Point (P3P) Problem to have a real solution point. This is so under the assumption that the three control points are at the vertices of an acute triangle. ...

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