R. Victor Klassen

Learn More
Forward differencing is widely used to generate rapidly large numbers of points at equally space parameter values along a curve. A failing of forward differencing is the tendency to generate many extraneous points for curves with highly nonuniform parameterizations. A key result is presented and proven, namely, that a few levels of subdivision, prior to(More)
The technique of placing directed line segments at grid points, known as hedgehogging, has been used for some time as a tool for visualizing two dimensional vector fields. We provide a means of rapidly rendering a slice of a three dimensional field, suitable for a bilevel display. Shape and shadowing are used to disambiguate orientation. Liberal use of(More)
Two incremental cubic interpolation algorithms are derived and analysed. Each is based on a known linear interpolation algorithm and modified for third order forward differencing. The tradeoff between overflow avoidance and loss of precision has made forward differencing a method which, although known to be fast, can be difficult to implement. It is shown(More)