How to map a point onto a warped grid
问题 Say you have a collection of points with coordinates on a Cartesian coordinate system. You want to plot another point, and you know its coordinates in the same Cartesian coordinate system. However, the plot you're drawing on is distorted from the original. Imagine taking the original plane, printing it on a rubber sheet, and stretching it in some places and pinching it in others, in an asymmetrical way (no overlapping or anything complex). (source) You know the stretched and unstretched