Proceedings ArticleDOI
Noise equalization in resampling of images
Daniel Seidner
- pp 75-77
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TLDR
In this article, a simple procedure for equalization of the sampling circuit noise modulation is described, which is based on handling each of the L interpolation kernels separately, and so the analysis is conducted for the one-dimensional case.Abstract:
Changing resolution of images is a common operation. Typical applications use linear interpolation or piecewise cubic interpolation. Enlarging an image by a factor of (L/M), is represented by first interpolating the image on a grid L times finer than the original sampling grid, and then resampling it every M grid points. An equivalent but more efficient implementation is to use L interpolation kernels, which are decimated versions of the original interpolation kernel. The appropriate kernel is applied according to the desired position of the output pixel. When enlarging an image by a factor of (L/M), every L samples of the output signal are produced "from" M input samples (and their neighborhood) using different kernels. This pattern of resampling repeats itself every L output samples. Since the frequency responses of these kernels are totally different, the resampling cause "modulation", with a period of L samples, to high frequencies, e.g., the sampling circuit noise. This paper describes a simple procedure for equalization of this noise modulation. The procedure is based on handling each of the L interpolation kernels separately. We discuss separable interpolation and so the analysis is conducted for the one-dimensional case.read more
Citations
More filters
Journal ArticleDOI
Polyphase antialiasing in resampling of images
TL;DR: This paper suggests reducing the aliasing effects using a polyphase representation of the interpolation process and treating the polyphase filters separately, a considerable reduction in the aliase effects is obtained for a small interpolation kernel size.
Polyphase Antialiasing in Enlargements.
TL;DR: This paper suggests reducing the aliasing effects using a polyphase representation of the interpolation process, and treating the polyphase filters separately.
Proceedings ArticleDOI
Polyphase vs. classical aliasing analysis in enlargements
TL;DR: The Normalized Aliasing Index is used for measuring the aliasing expected from an interpolation signal and shows that the classical analysis is identical to the polyphase one when an appropriate equalizer is used in series to the interpolation lter.
Dissertation
A resampling theory for non-bandlimited signals and its applications : a thesis presented for the partial fulfillment of the requirements for the degree of Doctor of Philosophy in Engineering at Massey University, Wellington, New Zealand
TL;DR: The results show that the proposed resampling system has many advantages over existing approaches, including lower computational and time complexities, more accurate prediction of system performances, as well as robustness against noise.
Proceedings ArticleDOI
Asymptotic aliasing index of interpolation filters [image scaling applications]
TL;DR: In this paper, the normalized aliasing index for an infinitesimally fine grid is defined for a grid that is L times finer than the original image grid, i.e., when L goes to infinity.
References
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Book
Discrete-Time Signal Processing
TL;DR: In this paper, the authors provide a thorough treatment of the fundamental theorems and properties of discrete-time linear systems, filtering, sampling, and discrete time Fourier analysis.
Journal ArticleDOI
Cubic convolution interpolation for digital image processing
TL;DR: It can be shown that the order of accuracy of the cubic convolution method is between that of linear interpolation and that of cubic splines.
Journal ArticleDOI
Image reconstruction by parametric cubic convolution
TL;DR: A parametric implementation of cubic convolution image reconstruction is presented which is generally superior to the standard algorithm and which can be optimized to the frequency content of the image.
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