Fractional Transform Methods in Complexity Analysis: Theory and Image Applications

Dear Colleagues,

The integration of fractional transform methods with complexity analysis has become a pivotal, fast-evolving research frontier at the intersection of applied mathematics, signal processing, and computer science. It enriches complexity quantification theory—using fractional transforms’ non-local, memory-dependent properties to capture intricate dynamics—and advances image applications (enhancing feature extraction, noise-robust analysis, etc.), with impacts on medical imaging (e.g., tumor characterization), remote sensing, and industrial defect detection.

This Special Issue requests high-quality papers covering the following: novel fractional transform paradigms (e.g., fractional Fourier/wavelet transforms) for complexity quantification; theoretical explorations of fractional transform-enhanced complexity metrics (e.g., entropy); image applications such as denoising, segmentation, and content security; comparative/validation studies of fractional vs. traditional methods in image scenarios. Cross-disciplinary studies on complexity analysis and applications (e.g., integrating with machine learning for intelligent image interpretation) are also encouraged. Comprehensive review articles on the field’s progress, challenges, and future directions will also be considered.

Dr. Hao Zhang
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. Fractal and Fractional is an international peer-reviewed open access monthly 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 2700 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.

• complexity analysis
• fractional theory
• fractals theory
• nonlinear dynamics
• image encryption and coding
• image compression
• image watermarking and information hiding
• image segmentation and processing
• control and stability with complexities
• AI methods in image processing