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In this note a unified Residue Number System scaling technique is presented which allows the designer a great deal of flexibility in choosing the scale factor. The technique is based on the L(E + 6)-CRT , a generalization of the work descibed in [7], [9], and [l-41. By embedding the scaling process in the Chinese Remainder Theorem, the L(e + 6)-CRT can also be used to simplify the residue-te analog conversion problem. The flexibility in choosing the scale factor and new reduced system modulus comes at the cost of potentially large errors, however. We show that the errors induced by the L(e + 6)-CRT can be divided into two distinct bands; a, band of small errors and a band of errors on the order of the reduced system modulus. For a given scale factor, we give inequalities that allow us to choose a reduced system modulus so that the large error band is avoided.

An image fusion algorithm based on multiscale analysis along arbitrary orientations is presented. After a steerable dyadic wavelet transform decomposition of multi-sensor images is carried out, the maximum local oriented energy is determined at each level of scale and spatial position. Maximum local oriented energy and local dominant orientation are used to combine transform coefficients obtained from the analysis of each input image. Reconstruction is accomplished from the modified coefficients, resulting in a fused image. Examples of multi-sensor fusion and fusion using different settings of a single sensor are demonstrated.

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