Mathematical Foundations and Innovations in Advanced Image and Video Processing

Dear Colleagues,

Advanced Image and Video Processing (AIVP), synergized with Generative AI for Content Creation (AIGC), has emerged as a paradigm shift. AIGC, powered by deep learning (e.g., GANs, diffusion models), redefines content generation (e.g., text-to-image synthesis, video evolution) and mathematical theory.

We are pleased to invite you to contribute to our upcoming issue/focus on the intersection of mathematical theory and AIGC (Artificial Intelligence-Generated Content) media generation.

This Special Issue aims to  encourage research that explores innovative techniques and theoretical frameworks at the intersection of mathematical theory and AIGC media generation. We are particularly interested in studies that bridge mathematical rigor with AIGC innovation—such as developing generative models rooted in differential geometry, optimization theory, or algebraic topology; or advancing mathematical tools to enhance content diversity, semantic coherence, and computational efficiency in media synthesis. Furthermore, we invite submissions that investigate the application of these mathematical-AIGC synergies in diverse domains, including artistic content creation, dynamic scene generation, multimodal data representation.

In this Special Issue, original research articles and reviews are welcome. Research areas may include (but not limited to) the following:

• Digital Image/Video Processing
• Information Theory
• Mathematical Modelling
• Probability Theory & Statistical Learning
• Linear Algebra & Tensor Analysis

I look forward to receiving your contributions.

Dr. Qiang Xu
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 250 words) can be sent to the Editorial Office for assessment.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.