Optimal Accelerometer Layouts for Data Recovery in Signature Verification
John S. Lew · IBM Journal of Research and Development · 1980
Current experimental use of pen acceleration data for signature verification has prompted the mathematical theory of our recent paper on the subject, expounding motion recovery techniques for a special pen with imbedded accelerometers. This continuation seeks to optimize the instrument layout as a mechanical filter which serves to extract the kinematic observables from the experimental noise. Our early sections, through various algebraic postulates, determine a simplest function of the layout geometry expressing the relative desirability of an accelerometer configuration. Any nontrivial layout demands some off-axial instruments, but natural “feel” requires few such placements. Hence, our middle sections prove mathematical results under various geometric assumptions which yield optimal layouts with one, two, or three off-axial instruments. Our final sections discuss the further constraint that all accelerometers measure just three directions. They assume not more than two off-axial instruments and obtain the best configurations of these tridirectional types.