arXiv:1906.07264 Abstract | arXiv Analytics

arXiv:1906.07264 [math.NA]Abstract References Reviews Resources

Uncertainty quantification of modified Cahn-Hilliard equation for image inpainting

Published 2019-06-17Version 1

In this paper, we review modified Cahn-Hilliard equation for image inpainting and explore the effect when the initial condition is uncertain. We study the statistical properties of the solution when the noise is present. The generalized polynomial chaos and the perturbation expansion are used to analyze the equation. Experimental results are attached for comparison of solution behavior.

Categories: math.NA, cs.NA

Keywords: uncertainty quantification, image inpainting, review modified cahn-hilliard equation, initial condition, solution behavior

Related articles: Most relevant | Search more

arXiv:2107.06607 [math.NA] (Published 2021-07-14)

Uncertainty Quantification of Inclusion Boundaries in the Context of X-ray Tomography

Babak Maboudi Afkham, Yiqiu Dong, Per Christian Hansen

arXiv:2106.11117 [math.NA] (Published 2021-06-21)

Uncertainty Quantification by MLMC and Local Time-stepping For Wave Propagation

Marcus J. Grote, Simon Michel, Fabio Nobile

arXiv:2408.10784 [math.NA] (Published 2024-08-20)

Framework for uncertainty quantification of wave-structure interaction in a flume

Xiaoyuan Luo, Vijay Nandurdikar, Sangri-Yi, Alistair Revell, Georgios Fourtakas, Ajay B. Harish