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Added Spline interpolation with derivatives.

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This commit is contained in:
Jeff
2014-06-20 22:12:45 -06:00
parent 963d338922
commit 5dbbe6b400
4 changed files with 363 additions and 13 deletions
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34
unsupported/test/splines.cpp
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@@ -234,6 +234,39 @@ void check_global_interpolation2d()
}
}
void check_global_interpolation_with_derivatives2d()
{
typedef Spline2d::PointType PointType;
typedef Spline2d::KnotVectorType KnotVectorType;
const unsigned int numPoints = 100;
const unsigned int dimension = 2;
const unsigned int degree = 3;
ArrayXXd points = ArrayXXd::Random(dimension, numPoints);
KnotVectorType knots;
Eigen::ChordLengths(points, knots);
ArrayXXd derivatives = ArrayXXd::Random(dimension, numPoints);
Eigen::IndexArray derivativeIndices(numPoints);
for (Eigen::DenseIndex i = 0; i < numPoints; ++i)
derivativeIndices(i) = i;
const Spline2d spline = SplineFitting<Spline2d>::InterpolateWithDerivatives(
points, derivatives, derivativeIndices, degree);
for (Eigen::DenseIndex i = 0; i < points.cols(); ++i)
{
PointType point = spline(knots(i));
PointType referencePoint = points.col(i);
VERIFY((point - referencePoint).matrix().norm() < 1e-12);
PointType derivative = spline.derivatives(knots(i), 1).col(1);
PointType referenceDerivative = derivatives.col(i);
VERIFY((derivative - referenceDerivative).matrix().norm() < 1e-10);
}
}
void test_splines()
{
@@ -241,4 +274,5 @@ void test_splines()
CALL_SUBTEST( eval_spline3d_onbrks() );
CALL_SUBTEST( eval_closed_spline2d() );
CALL_SUBTEST( check_global_interpolation2d() );
CALL_SUBTEST( check_global_interpolation_with_derivatives2d() );
}