PCHIP

AcronymDefinition
PCHIPProtection of Children Involved in Prostitution Act (Canada)
PCHIPPiecewise Cubic Hermite Interpolating Polynomial
References in periodicals archive ?
Backbone Boundary Lines Regression Algorithm Import backbone boundary point datum ([l.sub.1] [l.sub.2], ..., [l.sub.n]) REG=[] for i=1 to n R=[]; MRE=[] for j-each of [cubic spline, PCHIP spline, linear spline] [R.sub.i] [left arrow] Regress [l.sub.i](x(t),y(t), z(t)) using interpolation method j MR[E.sub.j] [left arrow] [SIGMA] [??] end RE[G.sub.i] [left arrow] R(x(t), ;y(t), z(t)) having the minimum MRE end Where [R.sub.jtx] means the true x value of the blue circle in Figure 2, whereas [R.sub.jrx] represents the regressed x value obtained by using interpolation method/, and vice versa for y and z.
Figure 1(b) is generated by PCHIP that does not look smooth because the function has only ability to remove the undulations in shape preserving curves.
Figure 2(b) is produced by PCHIP to conserve the convexity of convex data but it looks tight at some data points.
The cubic Hermite spline scheme [15] and PCHIP have been used to draw Figures 3(a) and 3(b), respectively, through convex data given in Table 5 which is borrowed from
A remarkable difference in the smoothness with a pleasant graphical view is visible in these figures drawn by PCHIP and proposed rational cubic scheme due to the freedom granted to the designer on the values of shape parameters.
The values of the cross correlation curve Cubic are essentially behind the values of cross correlation curves Akima and Pchip. Besides, the cross correlation curve Cubic is inconsistent having gaps at R{8} and R{11}.
We're still actively involved in the PCHIP. We have two Aboriginal staff working at the safe house, and we also have an Aboriginal community follow-up worker."
More precisely the quadratic spline of the McAllister and Roulier [1981] package and de Boor's [1978] cubic "Taut-splines" allow the introduction of some end conditions, but preserve only the local convexity of the data adding auxiliary knots; the local [C.sup.1] cubics used in the code PCHIP [Fritsch and Carlson 1980] eventually with the modification introduced by Fritsch and Butland [1984] or using the formulas proposed recently by Huynh [1993] (which provide third- or fourth-order interpolants), permits one only to reproduce the monotonicity of the data; the tension methods used in FITPACK [Cline 1974a; 1974b] or TSPACK [Renka 1993] require exponential functions which, in general, are not easy to use for CAD purposes.
The Tsunami crossbar is embodied in three types of integrated circuits: the control chip (Cchip), data--chips (Dchips), and peripheral--interface chips (Pchips).