Area based interpolation for image scaling
First Claim
1. A method for image scaling by area based interpolation, comprising the steps of:
- deconvolving the data xmn by low resolution sensor function, where xmn is the output of a single sensor;
upsampling to a desired resolution;
convolving the up-sampled data by a high resolution sensor function; and
low pass filtering to remove spectral aliases.
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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.
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Citations
2 Claims
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1. A method for image scaling by area based interpolation, comprising the steps of:
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deconvolving the data xmn by low resolution sensor function, where xmn is the output of a single sensor; upsampling to a desired resolution; convolving the up-sampled data by a high resolution sensor function; and low pass filtering to remove spectral aliases.
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2. An apparatus for image scaling by area based interpolation, comprising:
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means for deconvolving the data xmn by low resolution sensor function, where xmn is the output of a single sensor; a sampler for upsampling to a desired resolution; means for convolving the up-sampled data by a high resolution sensor function; and a low pass filter for removing spectral aliases.
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Specification