POLYNOMIALCURVEPOSITION Compute position on a curve for a given length.
POS = polynomialCurvePosition(T, XCOEF, YCOEF, L)
XCOEF and YCOEF are row vectors of coefficients, in the form:
[a0 a1 a2 ... an]
T is a 1x2 row vector, containing the bounds of the parametrization
variable: T = [T0 T1], with T taking all values between T0 and T1.
L is the geodesic length corresponding to the searched position.
POS is a scalar, verifying relation:
L = polynomialCurveLength([T(1) POS], XCOEF, YCOEF);
POS = polynomialCurvePosition(T, COEFS, L)
COEFS is either a 2xN matrix (one row for the coefficients of each
coordinate), or a cell array.
POS = polynomialCurvePosition(..., TOL)
TOL is the tolerance fo computation (absolute).
See also
polynomialCurves2d
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Author: David Legland
e-mail: david.legland@grignon.inra.fr
Created: 2007-02-26
Copyright 2007 INRA - BIA PV Nantes - MIAJ Jouy-en-Josas.
Package: matgeom