A Multiresolution Image Registration Procedure Using Spline Pyramids
M. Unser, A. Aldroubi, C.R. Gerfen
Proceedings of the SPIE Conference on Mathematical Imaging: Wavelet Applications in Signal and Image Processing, San Diego CA, USA, July 15-16, 1993, vol. 2034, pp. 160–170.
The authors present an iterative multiresolution algorithm for the translational and rotational alignment of digital images. An image is represented by an interpolating spline. Coarser versions of this continuous image model are obtained by using spline approximations at various scales (polynomial spline pyramid). The authors use a coarse-to-fine updating strategy to compute the alignment parameters iteratively, using a variation of the Levenberg-Marquardt nonlinear least-squares optimization method. This approach yields very precise image registration with subpixel accuracy. It is also much faster and more robust than a comparable single-scale implementation, because the resolution of the underlying image model is adapted to the step size of the algorithm.
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