Sentence examples for fair curve from inspiring English sources

A technique for composing a fair curve from a pair of Pythagorean hodograph quintic spiral segments is examined and presented.

As utility curve, a shifted version of the -proportional fair curve with is used, which is a more throughput oriented metric: (39).

The application aims to derive a fair curve from a set of dense and error-filled data points digitised from a complex surface, such that the basic shape information recorded in the original point data is relatively unaffected.

Spiral segments are useful in the design of fair curves.

Within Computer Aided Design (CAD) there is a need to construct fair curves.

Log-aesthetic spirals are currently being studied as fair curves that can be used in computer aided design.

It is also useful for other computer aided design or computer-aided geometric design applications in which drawing curves with controlled curvature, e.g. fair curves, is important.

This paper generalises earlier results on planar PH quintic spiral segments and examines techniques for designing fair curves using the new results.

We present superspirals, a new and very general family of fair curves, whose radius of curvature is given in terms of a completely monotonic Gauss hypergeometric function.

Pythagorean hodograph curves with no curvature extrema for an S-shaped transition, and a single curvature extremum for a C-shaped transition are suitable for the design of fair curves, e.g. in highway design, or for blending in CAD applications.

By choosing low order polynomials for representing the curvature radius functions, the interpolating curves can be spirals that have monotone curvatures or fair curves with small numbers of curvature extremes.