Sentence examples for a curve segment from inspiring English sources

For some applications of computer-aided geometric design it is important to maintain strictly monotone curvature along a curve segment.

The knot-value sequence is a non-decreasing sequence of knot values t0 through t m+4, and Q i is a curve segment defined by control points P i-3, P i-2, P i-1, P i and blending functions B i-3,4, B i-2,4, B i-1, 4, B i, 4 (t) as follows [ 22]: Q i (t) = P i-3 · Bi-3, 4 + Pi-2 · B i-2,4 + P i-1 · B i-1,4 + P i · B i,4 (t) (16) where 3 ≤ i ≤ m and t i ≤ t ≤ t i+1.

Lagrangian flux through a fixed curve segment within a time interval (tn,tn+k) can be formulated as an integral at the initial time tn over a compact point set called donating region, in which each particle will pass through the curve during the time interval and contribute to the flux.

Let t be the absolute length of a F-D curve segment - this is the length of a string if it was laid along the F-D curve segment.

For some applications, e.g. shape completion in computer vision, it is important to use a single visually pleasing curve segment to smoothly fill a gap, even though the gap may not be filled in a curvature continuous manner.

This paper presents a new kind of aerodynamic shape for reentry capsule, called spherical cap cubic curve segment SCCS) shape, which is modeled by replacing the reversing cone segment of the traditional spherical cap segment-reversing cone SCSC) shape with a more various cubic curve segment, however the spherical cap section is retained.

Curve segment parameters are formulated with respect to vehicle specifications.

Further, we consider valid ranges in which the line tangency constraint can be imposed without the curve segment becoming singular.

This also indirectly insures the smoothness of the vehicle's acceleration profile between two consecutive points of the curve and of the entire path by controlling the curvature values at the extreme points of each composing Bézier curve segment.

The shape specification for a stroke consists of two or more points designating the ends of the line or curve segments that form the stroke, along with one Bézier control point for each curve segment.

The initial state at t = 0 is represented by the thick and nearly horizontal curve segment (labelled "1" in Fig. 3A) located at upper left of the first quadrant of the phase plane, representing a slightly forward tilting posture with a velocity falling forward.