TY - JOUR
T1 - Enlargement and reduction of image/video via discrete cosine transform pair, part 1
T2 - Novel three-dimensional discrete cosine transform and enlargement
AU - Guo, Shu Mei
AU - Li, Chen Bang
AU - Chen, Chia Wei
AU - Liao, Yueh Ching
AU - Tsai, Jason Sheng Hong
N1 - Funding Information:
This work was supported by the National Science Council of Republic of China under contracts NSC-95-2211-E-006-109 and NSC-95-2211-E-006-362.
PY - 2007
Y1 - 2007
N2 - We propose novel matrix-form representations of the conventional forward three-dimensional (3-D) discrete cosine transform (DCT) and the inverse 3-D DCT. The pair of the computationally efficient 3-D DCTs causes the formulation to be more concise with a systematic structure, which has a high potential for the development of other applications via the 3-D DCT pair. Applications for enlargement of image/video implemented by the DCT pair are also presented. These new algorithms effectively eliminate ripple and blocky effects and maintain the original characteristic. Moreover, due to the essentially even-function property of the DCT, the proposed enlargement of an image demonstrates the desired symmetric property. As a result, they can also find numerous applications in image processing and video coding. Simulation results show that proposed mechanisms enable good performance for scaling algorithms of sequences, images, and videos, as expected.
AB - We propose novel matrix-form representations of the conventional forward three-dimensional (3-D) discrete cosine transform (DCT) and the inverse 3-D DCT. The pair of the computationally efficient 3-D DCTs causes the formulation to be more concise with a systematic structure, which has a high potential for the development of other applications via the 3-D DCT pair. Applications for enlargement of image/video implemented by the DCT pair are also presented. These new algorithms effectively eliminate ripple and blocky effects and maintain the original characteristic. Moreover, due to the essentially even-function property of the DCT, the proposed enlargement of an image demonstrates the desired symmetric property. As a result, they can also find numerous applications in image processing and video coding. Simulation results show that proposed mechanisms enable good performance for scaling algorithms of sequences, images, and videos, as expected.
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U2 - 10.1117/1.2804710
DO - 10.1117/1.2804710
M3 - Article
AN - SCOPUS:37549041299
SN - 1017-9909
VL - 16
JO - Journal of Electronic Imaging
JF - Journal of Electronic Imaging
IS - 4
M1 - 043006
ER -