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76 lines
2.8 KiB
76 lines
2.8 KiB
3 months ago
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// David Eberly, Geometric Tools, Redmond WA 98052
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// Copyright (c) 1998-2021
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// Distributed under the Boost Software License, Version 1.0.
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// https://www.boost.org/LICENSE_1_0.txt
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// https://www.geometrictools.com/License/Boost/LICENSE_1_0.txt
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// Version: 4.0.2019.08.13
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#pragma once
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#include <Mathematics/Delaunay2Mesh.h>
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#include <Mathematics/IntpQuadraticNonuniform2.h>
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#include <memory>
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// Given points (x0[i],y0[i]) which are mapped to (x1[i],y1[i]) for
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// 0 <= i < N, interpolate positions (xIn,yIn) to (xOut,yOut).
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namespace gte
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{
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template <typename InputType, typename ComputeType, typename RationalType>
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class IntpVectorField2
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{
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public:
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// Construction and destruction.
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~IntpVectorField2() = default;
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IntpVectorField2(int numPoints, Vector2<InputType> const* domain,
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Vector2<InputType> const* range)
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:
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mMesh(mDelaunay)
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{
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// Repackage the output vectors into individual components. This
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// is required because of the format that the quadratic
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// interpolator expects for its input data.
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mXRange.resize(numPoints);
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mYRange.resize(numPoints);
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for (int i = 0; i < numPoints; ++i)
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{
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mXRange[i] = range[i][0];
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mYRange[i] = range[i][1];
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}
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// Common triangulator for the interpolators.
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mDelaunay(numPoints, &domain[0], (ComputeType)0);
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// Create interpolator for x-coordinate of vector field.
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mXInterp = std::make_unique<IntpQuadraticNonuniform2<InputType, TriangleMesh>>(
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mMesh, &mXRange[0], (InputType)1);
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// Create interpolator for y-coordinate of vector field, but share the
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// already created triangulation for the x-interpolator.
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mYInterp = std::make_unique<IntpQuadraticNonuniform2<InputType, TriangleMesh>>(
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mMesh, &mYRange[0], (InputType)1);
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}
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// The return value is 'true' if and only if (xIn,yIn) is in the
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// convex hull of the input domain points, in which case the
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// interpolation is valid.
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bool operator()(Vector2<InputType> const& input, Vector2<InputType>& output) const
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{
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InputType xDeriv, yDeriv;
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return (*mXInterp)(input, output[0], xDeriv, yDeriv)
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&& (*mYInterp)(input, output[1], xDeriv, yDeriv);
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}
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protected:
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typedef Delaunay2Mesh<InputType, ComputeType, RationalType> TriangleMesh;
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Delaunay2<InputType, ComputeType> mDelaunay;
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TriangleMesh mMesh;
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std::vector<InputType> mXRange;
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std::vector<InputType> mYRange;
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std::unique_ptr<IntpQuadraticNonuniform2<InputType, TriangleMesh>> mXInterp;
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std::unique_ptr<IntpQuadraticNonuniform2<InputType, TriangleMesh>> mYInterp;
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};
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}
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