A fast operator-splitting method for Beltrami color image denoising

Y Duan, Q Zhong, XC Tai, R Glowinski - Journal of Scientific Computing, 2022 - Springer
The Beltrami framework is a successful technique for color image denosing by regarding
color images as manifolds embedded in a five dimensional spatial-chromatic space. It can …

A denoising model based on the fractional Beltrami regularization and its numerical solution

A Ben-Loghfyry, A Hakim, A Laghrib - Journal of Applied Mathematics and …, 2023 - Springer
In image processing, the regularization term is always hard to choose. In this paper, we
introduce a model based on the fractional derivative, which is derived from the classical …

Image reconstruction by minimizing curvatures on image surface

Q Zhong, K Yin, Y Duan - Journal of Mathematical Imaging and Vision, 2021 - Springer
The curvature regularities are well-known for providing strong priors in the continuity of
edges, which have been applied to a wide range of applications in image processing and …

Elastica models for color image regularization

H Liu, XC Tai, R Kimmel, R Glowinski - SIAM Journal on Imaging Sciences, 2023 - SIAM
The choice of a proper regularization measure plays an important role in the field of image
processing. One classical approach treats color images as two-dimensional surfaces …

A color elastica model for vector-valued image regularization

H Liu, XC Tai, R Kimmel, R Glowinski - SIAM Journal on Imaging Sciences, 2021 - SIAM
Models related to the Euler's elastica energy have proven to be useful for many applications
including image processing. Extending elastica models to color images and multichannel …

A unified approach for registration and depth in depth from defocus

R Ben-Ari - IEEE transactions on pattern analysis and machine …, 2014 - ieeexplore.ieee.org
Depth from Defocus (DFD) suggests a simple optical set-up to recover the shape of a scene
through imaging with shallow depth of field. Although numerous methods have been …

Hypersurface curvatures of geological features

I Ravve, AL Tertois, B de Ribet… - Geophysical Journal …, 2023 - academic.oup.com
Reflector-normal angles and reflector-curvature parameters are the principal geometric
attributes used in seismic interpretation for characterizing the orientations and shapes …

Numerical schemes for linear and non-linear enhancement of DW-MRI

E Creusen, R Duits, A Vilanova… - … : Theory, Methods and …, 2013 - cambridge.org
We consider the linear and non-linear enhancement of diffusion weighted magnetic
resonance images (DW-MRI) to use contextual information in denoising and inferring fiber …

Image dehaze using alternating Laplacian and Beltrami regularizations

Z Dou, Y Han, W Sheng, X Ma - Journal of Electronic Imaging, 2015 - spiedigitallibrary.org
We propose an effective physical model based single-image dehazing algorithm under the
regularization framework. Using an anisotropic Laplacian term as a constraint, the …

Numerical schemes for linear and non-linear enhancement of DW-MRI

EJ Creusen, R Duits, TCJ Dela Haije - International Conference on Scale …, 2011 - Springer
We consider left-invariant diffusion processes on DTI data by embedding the data into the
space R^3\rtimesS^2 of 3D positions and orientations. We then define and solve the …