Title :
Edge-forming methods for color image zooming
Author :
Cha, Youngjoon ; Kim, Seongjai
Author_Institution :
Dept. of Appl. Math., Sejong Univ., Seoul, South Korea
Abstract :
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 th effectiveness and reliability of the algorithm.
Keywords :
edge detection; image colour analysis; image restoration; interpolation; nonlinear differential equations; partial differential equations; alternating direction implicit method; anisotropic diffusion; artifact reduction; artifact removal; checkerboard effect; color image zooming; edge-forming methods; general magnification factors; image blur; image interpolation; nonconvex noninterpolation methods; nonconvex nonlinear partial differential equations; Anisotropic magnetoresistance; Color; Discrete transforms; Image resolution; Interpolation; Kernel; Mathematics; Noise reduction; Nonlinear equations; Partial differential equations; Anisotropic diffusion; checkerboard effect; edge forming; image zooming; interpolation; Algorithms; Artificial Intelligence; Colorimetry; Image Enhancement; Image Interpretation, Computer-Assisted; Information Storage and Retrieval; Pattern Recognition, Automated;
Journal_Title :
Image Processing, IEEE Transactions on
DOI :
10.1109/TIP.2006.875182