Abstract: A method and system for on-the-run processing of source data is disclosed. In one embodiment, the system includes an input device to trace the moving object, such as a pen, an on-the-run filter, coupled to the input device, to perform denoising of the source data without noticeable shrinkage of the trace using recursive reparameterization filtering, and a storage device, coupled to the on-the-run filter, to compress and store the data.

Abstract: In one embodiment, a method for encoding source data includes defining a source polygon using a parametric representation associated with the source data, and identifying one or more portions of the source polygon. The method further includes passing a filter throughout the entire sequence of the samples representing the source polygon, and performing a piecewise, portion by portion, re-parameterization of the source polygon using the corresponding portions of the filtered polygon to obtain an updated sequence of samples representing the source polygon. The passing of the filter and the performance of the piecewise re-parameterization are then iteratively repeated until a convergence condition is satisfied, to provide encoded data.

Abstract: In one embodiment, a method for curve generation includes forming an initial interpolation polygon using samples within input data as interpolation knots, and upsampling the interpolation polygon by inserting extra samples in each segment between interpolation knots. A filter is then passed throughout a sequence of samples representing the upsampled interpolation polygon. Next, the interpolation polygon is substituted with the filtered polygon converted into a next interpolation polygon using segment-by-segment transformations, where segments of the filtered polygon are delimited by consecutive samples corresponding to interpolation knots, and each segment is transformed to fit between respective interpolation knots. Further, the passing of the filter and the substitution of the current interpolation polygon are repeated until a predefined condition is satisfied, to provide fitting curves.