405 citations · 2k across the 25 of their papers we have counts for
25 papers
Geodesic intersections
Charles F. F. Karney
A complete treatment of the intersections of two geodesics on the surface of an ellipsoid of revolution is given. With a suitable metric for the distances between intersections, bo…
The area of rhumb polygons
Charles F. F. Karney
The formula for the area of a rhumb polygon, a polygon whose edges are rhumb lines on an ellipsoid of revolution, is derived and a method is given for computing the area accurately…
On auxiliary latitudes
Charles F. F. Karney
The auxiliary latitudes are essential tools in cartography. This paper summarizes methods for converting between them with an emphasis on providing full double-precision accuracy.…
Sensor trajectory estimation by triangulating lidar returns
Charles F. F. Karney, Sujeong Kim
The paper describes how to recover the sensor trajectory for an aerial lidar collect using the data for multiple-return lidar pulses. This work extends the work of Gatziolis and Mc…
Sampling exactly from the normal distribution
Charles F. F. Karney
An algorithm for sampling exactly from the normal distribution is given. The algorithm reads some number of uniformly distributed random digits in a given base and generates an ini…
Algorithms for geodesics
Charles F. F. Karney
Algorithms for the computation of geodesics on an ellipsoid of revolution are given. These provide accurate, robust, and fast solutions to the direct and inverse geodesic problems…