/*========================================================================= Program: Visualization Toolkit Module: vtkBezierCurve.cxx Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen All rights reserved. See Copyright.txt or http://www.kitware.com/Copyright.htm for details. This software is distributed WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the above copyright notice for more information. =========================================================================*/ #include "vtkBezierCurve.h" #include "vtkBezierInterpolation.h" #include "vtkCellData.h" #include "vtkDoubleArray.h" #include "vtkIdList.h" #include "vtkLine.h" #include "vtkMath.h" #include "vtkObjectFactory.h" #include "vtkPointData.h" #include "vtkPoints.h" #include "vtkTriangle.h" #include "vtkVector.h" #include "vtkVectorOperators.h" vtkStandardNewMacro(vtkBezierCurve); vtkBezierCurve::vtkBezierCurve() = default; vtkBezierCurve::~vtkBezierCurve() = default; void vtkBezierCurve::PrintSelf(ostream& os, vtkIndent indent) { this->Superclass::PrintSelf(os, indent); } /**\brief EvaluateLocation Given a point_id. This is required by Bezier because the interior points * are non-interpolatory . */ void vtkBezierCurve::EvaluateLocationProjectedNode( int& subId, const vtkIdType point_id, double x[3], double* weights) { this->vtkHigherOrderCurve::SetParametricCoords(); double pcoords[3]; this->PointParametricCoordinates->GetPoint(this->PointIds->FindIdLocation(point_id), pcoords); this->vtkHigherOrderCurve::EvaluateLocation(subId, pcoords, x, weights); } /**\brief Set the rational weight of the cell, given a vtkDataSet */ void vtkBezierCurve::SetRationalWeightsFromPointData( vtkPointData* point_data, const vtkIdType numPts) { vtkDataArray* v = point_data->GetRationalWeights(); if (v) { this->GetRationalWeights()->SetNumberOfTuples(numPts); for (vtkIdType i = 0; i < numPts; i++) { this->GetRationalWeights()->SetValue(i, v->GetTuple1(this->PointIds->GetId(i))); } } else this->GetRationalWeights()->Reset(); } /**\brief Populate the linear segment returned by GetApprox() with point-data from one voxel-like * intervals of this cell. * * Ensure that you have called GetOrder() before calling this method * so that this->Order is up to date. This method does no checking * before using it to map connectivity-array offsets. */ vtkLine* vtkBezierCurve::GetApproximateLine( int subId, vtkDataArray* scalarsIn, vtkDataArray* scalarsOut) { vtkLine* approx = this->GetApprox(); bool doScalars = (scalarsIn && scalarsOut); if (doScalars) { scalarsOut->SetNumberOfTuples(2); } int i; if (!this->SubCellCoordinatesFromId(i, subId)) { vtkErrorMacro("Invalid subId " << subId); return nullptr; } // Get the point ids (and optionally scalars) for each of the 2 corners // in the approximating line spanned by (i, i+1): for (vtkIdType ic = 0; ic < 2; ++ic) { const vtkIdType corner = this->PointIndexFromIJK(i + ic, 0, 0); vtkVector3d cp; // Only the first four corners are interpolatory, we need to project the value of the other // nodes if (corner < 2) { this->Points->GetPoint(corner, cp.GetData()); } else { this->SetParametricCoords(); double pcoords[3]; this->PointParametricCoordinates->GetPoint(corner, pcoords); int subIdtps; const int numtripts = (this->Order[0] + 1); std::vector weights(numtripts); this->vtkHigherOrderCurve::EvaluateLocation(subIdtps, pcoords, cp.GetData(), weights.data()); } approx->Points->SetPoint(ic, cp.GetData()); approx->PointIds->SetId(ic, doScalars ? corner : this->PointIds->GetId(corner)); if (doScalars) { scalarsOut->SetTuple(ic, scalarsIn->GetTuple(corner)); } } return approx; } void vtkBezierCurve::InterpolateFunctions(const double pcoords[3], double* weights) { vtkBezierInterpolation::Tensor1ShapeFunctions(this->GetOrder(), pcoords, weights); // If the unit cell has rational weigths: weights_i = weights_i * rationalWeights / sum( weights_i // * rationalWeights ) const bool has_rational_weights = RationalWeights->GetNumberOfTuples() > 0; if (has_rational_weights) { vtkIdType nPoints = this->GetPoints()->GetNumberOfPoints(); double w = 0; for (vtkIdType idx = 0; idx < nPoints; ++idx) { weights[idx] *= RationalWeights->GetTuple1(idx); w += weights[idx]; } const double one_over_rational_weight = 1. / w; for (vtkIdType idx = 0; idx < nPoints; ++idx) weights[idx] *= one_over_rational_weight; } } void vtkBezierCurve::InterpolateDerivs(const double pcoords[3], double* derivs) { vtkBezierInterpolation::Tensor1ShapeDerivatives(this->GetOrder(), pcoords, derivs); } vtkDoubleArray* vtkBezierCurve::GetRationalWeights() { return RationalWeights.Get(); }