In silico prediction methods of self-interacting proteins: an empirical and academic survey

Z Chen, Z You, Q Zhang, Z Guo, S Wang… - Frontiers of Computer …, 2023 - Springer
In silico prediction of self-interacting proteins (SIPs) has become an important part of
proteomics. There is an urgent need to develop effective and reliable prediction methods to …

On Lp rectangular multifractal multivariate functions

MB Slimane, I Alzughaibi, O Algahtani - Chaos, Solitons & Fractals, 2024 - Elsevier
Multifractal analysis has traditionally been based on the pointwise Hölder regularity for
locally bounded functions. However, recently an extension to the rectangular pointwise …

Multivariate multifractal texture DCGAN synthesis: How well does it work? How does one know?

P Abry, V Mauduit, E Quemener, S Roux - Journal of Signal Processing …, 2022 - Springer
In a recent past, Deep Learning emerged as a standard tool in Image Processing, commonly
involved in numerous and various tasks. Notably, Deep Learning has become increasingly …

Multivariate Hadamard self-similarity: testing fractal connectivity

H Wendt, G Didier, S Combrexelle, P Abry - Physica D: Nonlinear …, 2017 - Elsevier
While scale invariance is commonly observed in each component of real world multivariate
signals, it is also often the case that the inter-component correlation structure is not fractally …

Removal of canvas patterns in digital acquisitions of paintings

B Cornelis, H Yang, A Goodfriend… - … on Image Processing, 2016 - ieeexplore.ieee.org
We address the removal of canvas artifacts from high-resolution digital photographs and X-
ray images of paintings on canvas. Both imaging modalities are common investigative tools …

Unveiling the invisible: mathematical methods for restoring and interpreting illuminated manuscripts

L Calatroni, M d'Autume, R Hocking, S Panayotova… - Heritage science, 2018 - Springer
The last 50 years have seen an impressive development of mathematical methods for the
analysis and processing of digital images, mostly in the context of photography, biomedical …

Mars topography investigated through the wavelet leaders method: A multidimensional study of its fractal structure

A Deliège, T Kleyntssens, S Nicolay - Planetary and Space Science, 2017 - Elsevier
This work examines the scaling properties of Mars topography through a wavelet-based
formalism. We conduct exhaustive one-dimensional (both longitudinal and latitudinal) and …

A generalized multifractal formalism for the estimation of nonconcave multifractal spectra

R Leonarduzzi, P Abry, H Wendt… - IEEE Transactions …, 2018 - ieeexplore.ieee.org
Multifractal analysis has become a powerful signal processing tool that characterizes signals
or images via the fluctuations of their pointwise regularity, quantified theoretically by the so …

Anisotropy of Hölder Gaussian random fields: characterization, estimation, and application to image textures

FJP Richard - Statistics and Computing, 2018 - Springer
The characterization and estimation of the Hölder regularity of random fields has long been
an important topic of Probability theory and Statistics. This notion of regularity has also been …

Multivariate selfsimilarity: Multiscale eigenstructures for selfsimilarity parameter estimation

CG Lucas, G Didier, H Wendt… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Scale-free dynamics, formalized by selfsimilarity, provides a versatile paradigm massively
and ubiquitously used to model temporal dynamics in real-world data. However, its practical …