Adaptive total variation based image segmentation with semi-proximal alternating minimization

T Wu, X Gu, Y Wang, T Zeng - Signal Processing, 2021 - Elsevier
To improve the image segmentation quality, it is important to adequately describe the local
features of targets in images. In this paper, we develop a novel adaptive total variation …

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 …

An operator-splitting method for the Gaussian curvature regularization model with applications to surface smoothing and imaging

H Liu, XC Tai, R Glowinski - SIAM Journal on Scientific Computing, 2022 - SIAM
Gaussian curvature is an important geometric property of surfaces, which has been used
broadly in mathematical modeling. Due to the full nonlinearity of the Gaussian curvature …

[PDF][PDF] Image segmentation via Fischer-Burmeister total variation and thresholding

T Wu, Y Zhao, Z Mao, L Shi, Z Li, Y Zeng - Adv. Appl. Math. Mech, 2022 - doc.global-sci.org
Image segmentation is a significant problem in image processing. In this paper, we propose
a new two-stage scheme for segmentation based on the Fischer-Burmeister total variation …

FAS-UNet: a novel FAS-driven UNet to learn variational image segmentation

H Zhu, S Shu, J Zhang - Mathematics, 2022 - mdpi.com
Solving variational image segmentation problems with hidden physics is often expensive
and requires different algorithms and manually tuned model parameters. The deep learning …

A weighted bounded Hessian variational model for image labeling and segmentation

Y Yang, Q Zhong, Y Duan, T Zeng - Signal Processing, 2020 - Elsevier
Natural images are usually composed of multiple objects at different scales in flat and
slanted regions. Traditional labeling/segmentation approaches based on total variation …

Colour image segmentation based on a convex K‐means approach

T Wu, X Gu, J Shao, R Zhou, Z Li - IET Image Processing, 2021 - Wiley Online Library
Image segmentation is a fundamental and challenging task in image processing and
computer vision. The colour image segmentation is attracting more attention as the colour …

Numerical computation of fractional partial differential equations with variable coefficients utilizing the modified fractional Legendre wavelets and error analysis

J Xie - Mathematical Methods in the Applied Sciences, 2021 - Wiley Online Library
This paper presents a numerical scheme to address a type of fractional spatial–temporal
telegraph equations with variable coefficients by applying the modified fractional Legendre …

A hybride active contour model driven by global and local image information

X Li, H Liu, Y Xing - Neural Processing Letters, 2019 - Springer
In this paper, a novel active contour model based on hybrid image fitting energy which
utilizes both global and local image information is proposed. Two fitting images are …

A two-level method for image deblurring problem

F Fairag, S Ahmad - 2019 8th International Conference on …, 2019 - ieeexplore.ieee.org
Image deblurring model with computationally expensive regularization is used to improve
the quality of the deblurred images. These models are very efficient in preserving edges and …