The present invention is a method of processing a sequence of frames from digital motion picture cameras to allow remapping of the time-base of the input frames to a new and possibly variable time-base in the output frame sequence. This invention provides a method that makes small adjustments to the user's specified positions to achieve optimal integer mapping from input frames to output frames in the integrated function. The present invention provides for an algorithm for frame rate resampling providing a method for determining the mapping of input frames to output frames and a method for smoothly ramping the mapping of input frames to output frames based on interactive user input and a method for optimizing the alignment of input frames to output frames such that during areas of constant speed the alignment is optimally centered on the frames and a method for computing the weighting function for averaging input frames to output frames and a method for handling negative values in the weighting function in regions of bright highlights.