Systems and methods are disclosed for determining a touch position from data received from a touch panel. In one implementation, an apparatus for processing a touch input signal includes a processor that may be configured for parallel processing, a touch device, a memory, operably connected to the processor, and configured to store processor instructions. The processor instructions can configure the processor to receive a plurality of data points corresponding to a plurality of touch events on the touch device, determine a center of mass estimate from the plurality of data points, determine a search radius of center of mass estimate, and determine an optimal touch point position based on the center of mass estimate and the search radius using the processor.