Systems and methods for implementing a touch user interface using at least one at least one edge detection algorithm to produce edge data that is in turn provided to at least one curve-fitting algorithm to produce curve parameter data. The curve parameter data in turn provided to at least one calculation algorithm to produce interpreted data, wherein the interpreted data comprises user interface information responsive to the human touch made by the user to the touch surface. In various implementations the touch sensor can include a capacitive matrix, pressure sensor array, LED array, arrays of on-off contact sensors, or a video camera. The resulting arrangement can be configured to detect touch gestures comprising changes in finger pitch angles and roll angles.