TY - JOUR
T1 - Image Denoising Based on the Surface Fitting Strategy
AU - Pang , Z.-F.
AU - Shi , B.
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 102
EP - 116
PY - 2014
DA - 2014/11
SN - 11
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/516.html
KW - Two-step model, Staircase effect, Projection gradient method, Edge indicator function.
AB - <p style="text-align: justify;">In this work, we propose a surface fitting strategy based on a two-step model to remove noise from digital images. In the first step, we minimize the total variation energy functional of
an image by using the projection gradient method in order to obtain the dual variable as the
smoothed normal vector. In the second step, we try to find a surface as the recovered image to fit
the smoothed normal vector. Based on the projection gradient method and the variable splitting
method, we propose an efficient numerical method to solve this two-step model and also give the
convergence analysis of the proposed method. Some numerical comparisons are given to validate
the effectiveness of our proposed model.</p>