A Method of Improving Image Resolution Based on the Curved Surfaces of Local Images Expressed by Polynomials and the Subspace of a High Resolution Image
Hiroki Imamura, Makoto Fujimura, Hideo Kuroda · The Journal of The Institute of Image Information and Television Engineers · 2005
To expand images, linear interpolation methods or cubic spline methods have generally been used. However, the expanded images generated by the methods are blurred because of a lack of high frequency components in the image signals. To obtain clear expanded images, methods based on DCT coefficients, wavelet cOefficients, or the Laplacian pyramid have been proposed. Because these methods generate or emphasize the high frequency components of image signals, problems arise such as ringings, block noise, or noise in flat parts of images. We developed a method based on a new apploach using the curved surfaces of local images expressed by polynomials and the subspace of a high-resolution image. We expect it to solve the above problems.