Calibration Using a Manifold and Manifold

Abstract

No instrument is perfect: slight mechanical flaws and sensor uncertainty mean the world seen through an instrument is always distorted, and those distortions define a measurement space – a manifold. In small regions a manifold is straight, square and linear, which is to say Euclidean; across larger regions it is not. John Palmateer introduces the divergence on a manifold, which quantifies how the measurement space changes in independent directions, and shows how it can be used to calibrate. The talk acknowledges Tom Hedges of Metris USA and Gary Hines of Boeing Puget Sound Metrology.