Perpendicular distance
In geometry, the perpendicular distance between two objects is the distance from one to the other, measured along a line that is perpendicular to one or both.
Particular instances include:
- Distance from a point to a line, for the perpendicular distance from a point to a line in two-dimensional space
- Point on plane closest to origin, for the perpendicular distance from the origin to a plane in three-dimensional space
- Distance from a point to a plane, for the perpendicular distance from an arbitrary point to a plane in three-dimensional space
- Nearest distance between skew lines, for the perpendicular distance between two non-parallel lines in three-dimensional space
Curve fitting and line fitting methods may use perpendicular distance to measure the quality of a fit, as in Deming regression and total least squares.
A normal distance between a point and a curve or a surface may also be defined.
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