A fast efficient computation of cubic-spline interpolation in image codec

It is shown that cubic-spline interpolation (CSI) can be performed by a fast and efficient computation for the encoding and decoding processes of image coding. It requires substantially fewer additions and multiplications than the original CSI algorithm. Furthermore, a new type of overlap-save schem...

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Veröffentlicht in:IEEE transactions on signal processing 2001-06, Vol.49 (6), p.1189-1197
Hauptverfasser: Lung-Jen Wang, Wen-Shyong Hsieh, Trieu-Kien Truong, Reed, I.S., Cheng, T.C.
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container_end_page 1197
container_issue 6
container_start_page 1189
container_title IEEE transactions on signal processing
container_volume 49
creator Lung-Jen Wang
Wen-Shyong Hsieh
Trieu-Kien Truong
Reed, I.S.
Cheng, T.C.
description It is shown that cubic-spline interpolation (CSI) can be performed by a fast and efficient computation for the encoding and decoding processes of image coding. It requires substantially fewer additions and multiplications than the original CSI algorithm. Furthermore, a new type of overlap-save scheme is utilized to solve the boundary-condition problems that occur between two neighboring subimages in the actual image. It is also shown that a very efficient nine-point Winograd discrete Fourier transform (WDFT) can be used to replace the fast Fourier transform (FFT) needed to implement the CSI scheme in the modified JPEG encoder. Finally, the proposed fast new CSI algorithm with a compression ratio of 9:1 is used along with the JPEG standard to speed up the modified JPEG encoder-decoder and still obtain a better quality of reconstructed image for higher compression ratios.
doi_str_mv 10.1109/78.923301
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subjects Algorithms
Applied sciences
Codecs
Coding, codes
Compression ratio
Computational efficiency
Decoding
Discrete Fourier transforms
Exact sciences and technology
Fast Fourier transforms
Fourier transforms
Image coding
Image compression
Image processing
Image reconstruction
Information, signal and communications theory
Interpolation
JPEG encoders-decoders
PSNR
Signal and communications theory
Signal processing
Signal processing algorithms
Telecommunications and information theory
Transform coding
title A fast efficient computation of cubic-spline interpolation in image codec
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