In silico prediction methods of self-interacting proteins: an empirical and academic survey
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 …
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 …
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 …
involved in numerous and various tasks. Notably, Deep Learning has become increasingly …
Multivariate Hadamard self-similarity: testing fractal connectivity
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 …
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 …
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 …
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
This work examines the scaling properties of Mars topography through a wavelet-based
formalism. We conduct exhaustive one-dimensional (both longitudinal and latitudinal) and …
formalism. We conduct exhaustive one-dimensional (both longitudinal and latitudinal) and …
A generalized multifractal formalism for the estimation of nonconcave multifractal spectra
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 …
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 …
an important topic of Probability theory and Statistics. This notion of regularity has also been …
Multivariate selfsimilarity: Multiscale eigenstructures for selfsimilarity parameter estimation
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 …
and ubiquitously used to model temporal dynamics in real-world data. However, its practical …