Abstract: A computer implemented method for applying a numerical approximation of a convolution of image I as represented by hierarchical signals al of level l with filter f, said method including the steps of: generating a forward transformation by applying a convolution between al and kernel h1 for each level of hierarchy l and by down-sampling the result of convolved al and h1; generating a backward transformation by applying, for each level of hierarchy l, a convolution between kernel h2 and an up-sampled forward transformation and combining the result with a convolution of al with kernel g; and combining the forward transformation with the backward transformation, to yield â0 being an approximation of a convolution between a and f, wherein kernels h1, h1, and g are optimized kernels of filter f.

Abstract: A method of tonally stabilizing a video sequence is provided herein. The method includes the following stages: automatically selecting one or more anchor frames from a sequence of frames; obtaining an anchor adjustment map for each selected anchor frame; applying an edge-preserving smoothing algorithm to the sequence of frames; generating for any given pair of smoothed frames, a robust set of pixels indicating pixels affected by external tonal fluctuation only; initializing an adjustment map for any given frame by applying the anchor adjustment map to accumulated color differences between pixels of the robust set of the given frame and the anchor frame; and completing the initialized adjustment map by predicting values of pixels in each adjustment map not included in the robust set by applying an interpolation at a color space for these pixels, wherein the adjustment maps are usable for tonally aligning the video sequence with the anchor frame.

Abstract: A method of tonally stabilizing a video sequence is provided herein. The method includes the following stages: automatically selecting one or more anchor frames from a sequence of frames; obtaining an anchor adjustment map for each selected anchor frame; applying an edge-preserving smoothing algorithm to the sequence of frames; generating for any given pair of smoothed frames, a robust set of pixels indicating pixels affected by external tonal fluctuation only; initializing an adjustment map for any given frame by applying the anchor adjustment map to accumulated color differences between pixels of the robust set of the given frame and the anchor frame; and completing the initialized adjustment map by predicting values of pixels in each adjustment map not included in the robust set by applying an interpolation at a color space for these pixels, wherein the adjustment maps are usable for tonally aligning the video sequence with the anchor frame.

Abstract: A computer implemented method for A computer implemented method for applying a numerical approximation of a convolution of image I as represented by hierarchical signals al of level l with filter f, said method including the steps of: generating a forward transformation by applying a convolution between al and kernel h1 for each level of hierarchy l and by down-sampling the result of convolved al and h1; generating a backward transformation by applying, for each level of hierarchy l, a convolution between kernel h2 and an up-sampled forward transformation and combining the result with a convolution of al with kernel g; and combining the forward transformation with the backward transformation, to yield â0 being an approximation of a convolution between a and f, wherein kernels h1, h1, and g are optimized kernels of filter f.