Title
Image enlargement method based on cubic surfaces with local features as constraints.
Abstract
•This paper proposes a method for constructing the combined cubic surface. A quadratic polynomial surface patch is first constructed in the 3  ×  3 (2  ×  2) region centered on each pixel. Then the effect of each coefficient on low frequency and high frequency information is researched. First calculate the coefficient that has a large effect on the low-frequency information, and then calculate the coefficient that has a greater effect on the high- frequency information. All quadratic surface patches are weighted to form the cubic surface.•This paper proposes an efficient method for constructing the initial cubic polynomial surface fitting to the input image with the constraint of local features (such as image edges and textures) and distance. By sampling the initial surface, the initial high-resolution image with higher precision and better visual effect can be obtained.•This paper proposes an efficient method for constructing error high-resolution image to modify initial high-resolution, including calculating error high-resolution image and constructing the cubic surface with higher precision to smooth error high-resolution image.•This paper proposes an efficient method that combines non-local similarity iteration optimization with secondary filtering to optimize the error high-resolution image.
Year
DOI
Venue
2020
10.1016/j.sigpro.2019.107266
Signal Processing
Keywords
Field
DocType
Local feature,Cubic fitting surface,Quadratic polynomial patch,Iterative optimization
Convergence (routing),Cubic surface,Mathematical optimization,Algorithm,Mathematics
Journal
Volume
ISSN
Citations 
166
0165-1684
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Ye-Peng Liu112.04
Xuemei Li2115.93
Xin Zhang311.36
Caiming Zhang444688.19