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Image registration refers to the mergence of two partially- overlapped images,subject to rotation, translation and scaling, into one big image.In this thesis, we first extend differential operators derived from orthonormal compactely supported wavelets to partial derivative operators for two-dimensional signals. The partial derivative operators are then used to compute the gradient of two images to be registered to each other. The gradient-based edge detector are used to locate feature points in both image.From these feature points, the angle of rotation , the distance of translation and the factor of scaling between the two original images can be computed, with very good accuracy. The matching or correspondence between the two sets of features points in the images to be registered is computation intensive and prone to errors .In this thesis,however, we take advantage of the color information in images to achieve more accurate matching between these feature points.An estimate of the matchingparameters are carried out with knowledge of the vector relations between the the refined matched pairs . It follows that an even more refined match can besaught based on those newly computed matching parameters.In fact,this refinementprocess can be repeated for a few more times,if necessary.Finally,the differencein the color of the two original images are reduced with histogram specificationon the red,greed and blue planes,respectively. Experiment with simulated and real images show that the proposed method produces accurate registration of image even when the factor of scale and the rotationbetween the images are large or the overlap between them is small.Keywords: Wavelet, Image Registration, Feature Points ,Differential Operator Color Image.
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