High-quality image interpolation via nonlinear image decomposition

Takahiro Saito; Yuki Ishii; Haruya Aizawa; Takashi Komatsu

doi:10.1117/12.761059

3 March 2008 High-quality image interpolation via nonlinear image decomposition

Takahiro Saito, Yuki Ishii, Haruya Aizawa, Takashi Komatsu

Proceedings Volume 6812, Image Processing: Algorithms and Systems VI; 68120V (2008) https://doi.org/10.1117/12.761059
Event: Electronic Imaging, 2008, San Jose, California, United States

Abstract

This paper presents a new image-interpolation approach where one can adjust edge sharpness and texture intensity according to one's taste. This approach is composed of the three stages. At the first stage, with the BV-G imagede-composition variational model, an image is represented as a product of its two components so that its separated structural component may correspond to a cartoon image-approximation and its separated texture components may collect almost all oscillatory variations representing textures, and the texture component can be amplified or attenuated according to user's taste. At the second stage, each separated component is interpolated with an interpolation method suitable to it. Since the structural component keeps sharp edges, its proper interpolation method is a TV-regularization super-resolution interpolation method that can restore frequency components higher than the Nyquist frequency and remove sample-hold blurs without producing ringing artifacts near edges. The texture component is an oscillatory function, and its proper interpolation method is a smoothness-regularization super-resolution interpolation method that can restore continuous variations and remove the blurs. At the final stage, the two interpolated components are combined. The approach enlarges images without not only blurring edges but also destroying textures, and removes blurs caused by the sample-hold and/or the optical low-pass filter without producing ringing artifacts.

Citation Download Citation

Takahiro Saito, Yuki Ishii, Haruya Aizawa, and Takashi Komatsu "High-quality image interpolation via nonlinear image decomposition", Proc. SPIE 6812, Image Processing: Algorithms and Systems VI, 68120V (3 March 2008); https://doi.org/10.1117/12.761059

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KEYWORDS

Super resolution

Diffusion

Image interpolation

Image quality

Signal to noise ratio

Linear filtering

Visualization

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