Abstract: The present invention provides a system, device, computer program product, and method for representing a plurality of electronic ink data points. According to one embodiment, the system includes a first computing device having a writing stylus, a handwriting capture interface, a processing element and a transmitter. The handwriting capture interface captures a plurality of electronic ink data points based upon a position of the writing stylus, while the processing element is capable of determining a derivative of at least the second order of the electronic ink data points. The transmitter transmits data representative of the high-order derivative of the electronic ink data points. The system also includes a second computing device capable of receiving the data. The second computing device includes a processing element for reconstructing the electronic ink data points based upon the high-order derivative and independent of all but one of the electronic ink data points originally captured.