Image sharpening algorithm based on a variety of interpolation methods
Li Rui, Qiong Lv
Abstract
Li Rui, Qiong Lv
Abstract
Image sharpening is achieved by increasing the resolution of an original image. Specifically speaking, it can be achieved by calculating the new pixel information according to the information of surrounding pixels, which is called digital image interpolation. This thesis, because of the demand of image clarity, makes a more detailed analysis and research of the classic interpolation algorithm, and finds that piecewise polynomial interpolation in the traditional bicubic interpolation algorithm has a better approximation with the sync function. However, this piecewise polynomial interpolation only has the continuity of 0 to 1, which does no good for some details of the image. Thus, considering the reason hereinbefore, the writers conduct the deduction of the second order and obtain the relationship among the interpolated polynomial coefficients, then ultimately determining the interpolated polynomial coefficients and gets a superior bicubic interpolation polynomial through a large number of experimental validations.
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Image sharpening is achieved by increasing the resolution of an original image. Specifically speaking, it can be achieved by calculating the new pixel information according to the information of surrounding pixels, which is called digital image interpolation. This thesis, because of the demand of image clarity, makes a more detailed analysis and research of the classic interpolation algorithm, and finds that piecewise polynomial interpolation in the traditional bicubic interpolation algorithm has a better approximation with the sync function. However, this piecewise polynomial interpolation only has the continuity of 0 to 1, which does no good for some details of the image. Thus, considering the reason hereinbefore, the writers conduct the deduction of the second order and obtain the relationship among the interpolated polynomial coefficients, then ultimately determining the interpolated polynomial coefficients and gets a superior bicubic interpolation polynomial through a large number of experimental validations.
Key concepts: Bicubic interpolation, Stairstep interpolation, Interpolation (computer graphics), Sharpening, Nearest-neighbor interpolation, Polynomial interpolation, Bilinear interpolation, Image scaling