Title :
Interpolation and gradient estimation of images using the discrete cosine transform
Author :
Foster, George J. ; Namazi, Nader M.
Author_Institution :
Dept. of Electr. Eng., Catholic Univ. of America, Washington, DC, USA
Abstract :
A signal can be represented completely by the weighted sum of any complete orthonormal set of basis functions. The discrete cosine transform (DCT) has long been used in image processing because, short of the Karhunen-Loeve transform, it typically provides the highest amount of compression of the image transforms commonly used. In addition to its use in compression, the DCT may also be used as a set of basis functions. We demonstrate how the DCT basis functions may be used to interpolate an image and provide a gradient estimate at interpolated points.
Keywords :
data compression; discrete cosine transforms; gradient methods; image coding; interpolation; transforms; DCT; discrete cosine transform; image gradient estimation; image interpolation; image transform compression; orthonormal basis function set; Discrete Fourier transforms; Discrete cosine transforms; Fourier transforms; Frequency; Image coding; Image processing; Interpolation; Karhunen-Loeve transforms; Linear approximation; Signal processing;
Conference_Titel :
System Theory, 2002. Proceedings of the Thirty-Fourth Southeastern Symposium on
Print_ISBN :
0-7803-7339-1
DOI :
10.1109/SSST.2002.1027027
