Edge-forming methods for color image zooming

被引:30
作者
Cha, Youngjoon [1 ]
Kim, Seongjai
机构
[1] Sejong Univ, Dept Appl Math, Seoul 143747, South Korea
[2] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA
基金
美国国家科学基金会;
关键词
anisotropic diffusion; checkerboard effect; edge forming; image zooming; interpolation;
D O I
10.1109/TIP.2006.875182
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper introduces edge-forming schemes for image zooming of color images by general magnification factors. In order to remove/reduce artifacts arising in image interpolation, such as image blur and the checkerboard effect, an edge-forming method is suggested to be applied as a postprocess of standard interpolation methods. The method is based on nonconvex nonlinear partial differential equations. The equations are carefully discretized, incorporating numerical schemes of anisotropic diffusion, to be able to form reliable edges satisfactorily. The alternating direction implicit (ADI) method is employed for an efficient simulation of the model. It has been numerically verified that the resulting algorithm can form clear edges in 2 to 3 ADI iterations. Various results are given to show the effectiveness and reliability of the algorithm.
引用
收藏
页码:2315 / 2323
页数:9
相关论文
共 29 条
[1]   Color TV: Total variation methods for restoration of vector-valued images [J].
Blomgren, P ;
Chan, TF .
IEEE TRANSACTIONS ON IMAGE PROCESSING, 1998, 7 (03) :304-309
[2]  
BLOMGREN PV, 1998, THESIS U CALIFORNIA
[3]   Regularity-preserving image interpolation [J].
Carey, WK ;
Chuang, DB ;
Hemami, SS .
IEEE TRANSACTIONS ON IMAGE PROCESSING, 1999, 8 (09) :1293-1297
[4]  
CHA Y, IN PRESS J MATH IMAG
[5]   Variational restoration of nonflat image features: Models and algorithms [J].
Chan, T ;
Shen, JH .
SIAM JOURNAL ON APPLIED MATHEMATICS, 2000, 61 (04) :1338-1361
[6]   Total variation denoising and enhancement of color images based on the CB and HSV color models [J].
Chan, TF ;
Kang, SH .
JOURNAL OF VISUAL COMMUNICATION AND IMAGE REPRESENTATION, 2001, 12 (04) :422-435
[7]   ON THE NUMERICAL INTEGRATION OF D2U-DX2+D2U-DY2=DU-D+ IMPLICIT METHODS [J].
DOUGLAS, J .
JOURNAL OF THE SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS, 1955, 3 (01) :42-65
[8]   Improved accuracy for locally one-dimensional methods for parabolic equations [J].
Douglas, J ;
Kim, S .
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2001, 11 (09) :1563-1579
[9]   NUMERICAL SOLUTION OF 2-DIMENSIONAL HEAT-FLOW PROBLEMS [J].
DOUGLAS, J ;
PEACEMAN, DW .
AICHE JOURNAL, 1955, 1 (04) :505-512
[10]  
Gonzalez R., 2019, Digital Image Processing, V2nd