Area based interpolation for image scaling

Image analysis – Image transformation or preprocessing – Changing the image coordinates

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Details

382279, 382299, 358451, H04N 1393, G06K 1536, G06K 964, G06K 932

Patent

active

057968799

ABSTRACT:
A technique, referred to as area-based interpolation, performs image interpolation. The system determines a curve by the pixel value at a location by taking the integral of a curve over a small area, where the size of the area is determined by the sampling size of a sampling cell. When the image is resampled with respect to a sampling cell that has a finer spacing, the system integrates the polynomial using a finer integration area. In accordance with the invention, the relation between the reintegrated, resampled high resolution image and the low resolution image is a function of an up-sampler, followed by a linear filter. The coefficients of the filter are independent of the data, but are dependent on the family of curves used. If the system models by, for example, a third degree or fourth degree polynomial everywhere in the image, then that model determines the number of coefficients that are in the filter. Once the up-sampling factor and degree of the polynomial are determined, the filter coefficients are fixed, and can be calculated by solving a set of linear equations. It is not necessary to determine these values on an image-by-image basis. The system calculates the filter once and the consistency constraint is then satisfied for all image scaling.

REFERENCES:
patent: 5335293 (1994-08-01), Vannelli et al.
patent: 5453844 (1995-09-01), George et al.
Cormac Herley, "Multirate Operations for Exact Interpolation and Iterative Subdivision Schemes", ISCAS, Digital Signal Processing (DSP) London, May 30-Jun. 2, 1994, vol. 2, May 30, 1994, IEEE, pp. 169-172.
Jonathan Yen, "Binary Image Scaling by Piecewise Polynomial Interpolation",4th International Conference on Computer-Aided Design and Computer Graphics, Wuhan, China, 23-25 Oct. 1995, vol. 2644. Proceedings of the SPIE-The International Society for Optical Engineering, 1996, pp. 2-8.
R.V. Klassen, R. H. Bartels: "Using B-Splines for Re-sizing Images", Technical Report, University of Waterloo, Department of Computer Science, 1986, Canada.

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