We discuss strategies for comparing discrete data points to a catalog (reference) curve by means of the Euclidean distance from each point to the curve in a pump's head H vs. flow Qdiagram. In particular we find that a method currently in use is inaccurate. We propose several alternatives that are accurate, fast, robust and stable.
- orthogonal distance from point to curve
- Schwarz-Christoffel transformation
- cubic splines
Hjorth, P. G., Karamehmedović, M., Perram, J., Piche, R., & Kraeatzschmar, M. (2006). Distance of Sample Measurement Points to Prototype Catalog Curve. Journal of Physics - Conference Series, 52(1), 27-35. https://doi.org/10.1088/1742-6596/52/1/003