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Open AccessArticle

Interpolation Filter Design Based on All-Phase DST and Its Application to Image Demosaicking

School of Mechanical, Electrical and Information Engineering, Shandong University, Weihai 264209, China
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Information 2018, 9(9), 206; https://doi.org/10.3390/info9090206
Received: 18 July 2018 / Revised: 11 August 2018 / Accepted: 18 August 2018 / Published: 21 August 2018
Based on a deep understanding of all-phase digital filter (APDF) design and all-phase biorthogonal transform (APBT), this paper will further study the windowed all-phase digital filter (WAPDF) and windowed all-phase biorthogonal transform (WAPBT), discuss the principle of the WAPBT, and provide a unified construction method of the all-phase transform (APT). Based on a type of orthogonal transform, i.e., discrete sine transform (DST), an interpolation filter called an all-phase DST (APDST) filter is constructed and used for image demosaicking; it is compared with bilinear interpolation and all-phase inverse discrete cosine transform (APIDCT) interpolation filters, to test its performance in image interpolation and provide analysis and discussion. The experimental results show that APIDCT and APDST filters with a size of 7 × 7 are similar in interpolation performance, but better than the bilinear interpolation method. In addition to its use in image interpolation demosaicking, the low-pass filter designed in this paper can also be widely used in image interpolation, image denoising, image resizing, and other fields of image processing. View Full-Text
Keywords: all-phase transform (APT); interpolation filter design; discrete sine transform (DST); all-phase DST (APDST); windowed all-phase digital filter (WAPDF); image demosaicking all-phase transform (APT); interpolation filter design; discrete sine transform (DST); all-phase DST (APDST); windowed all-phase digital filter (WAPDF); image demosaicking
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Zhou, X.; Wang, C.; Zhang, Z.; Fu, Q. Interpolation Filter Design Based on All-Phase DST and Its Application to Image Demosaicking. Information 2018, 9, 206.

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