arXiv Computer Vision
A Tensor Variational Formulation of Gradient Energy Total Variation
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arXiv Computer Vision
Aug 25
On Tensor-Based PDEs and their Corresponding Variational Formulations with Application to Color Image Denoising
arXiv:2608.22302v1 Announce Type: new Abstract: The case when a partial differential equation (PDE) can be considered as an Euler-Lagrange (E-L) equation of an energy functional, consisting of a data...
arXiv Computer Vision
Sep 1
Mapping-Based Image Diffusion
The paper introduces a tensor‑based functional for targeted image enhancement and denoising, incorporating application‑dependent and contextual information through explicit regularization. It establishes existence of a minimizer and discusses tensor symmetry constraints, convexity, and geometric interpretation. The framework demonstrates strong performance in nonlinear scenarios like gamma correction and targeted value‑range filtering, achieving results comparable to state‑of‑the‑art PDE‑based methods.
arXiv Computer Vision
Sep 23
Directional Total Variation-Regularized Implicit Neural Representations (DTV-INR) for Continuous Super-Resolution in Degraded Imaging Domains
arXiv:2609.25429v1 Announce Type: new Abstract: In this paper, we introduce the Directional Total Variation-Regularized Implicit Neural Representation (DTV-INR), an advanced variational paradigm that...
arXiv Computer Vision
Sep 1
Using Channel Representations in Regularization Terms: A Case Study on Image Diffusion
arXiv:2608.29227v1 Announce Type: new Abstract: In this work we propose a novel non-linear diffusion filtering approach for images based on their channel representation. To derive the diffusion updat...
arXiv Computer Vision
Aug 25
A Mixture Autoregressive Image Generative Model on Quadtree Regions for Gaussian Noise Removal via Variational Bayes and Gradient Methods
arXiv:2605.11585v2 Announce Type: replace Abstract: This paper addresses the problem of image denoising for grayscale images. We propose a probabilistic image generative model that combines a quadtre...
arXiv Computer Vision
Aug 25
On the Choice of Tensor Estimation for Corner Detection, Optical Flow and Denoising
arXiv:2608.22314v1 Announce Type: new Abstract: Many image processing methods such as corner detection, optical flow and iterative enhancement make use of image tensors. Generally, these tensors are...