vtkCardinalSpline类进行基本的插值操作


开发环境:

  1. Windows 11 家庭中文版
  2. Microsoft Visual Studio Community 2019
  3. VTK-9.3.0.rc0
  4. vtk-example

demo解决问题:用VTK(可视化工具包)中的vtkCardinalSpline类进行基本的插值操作

关键点:

  1. 代码创建了一个名为"Distances"的vtkFloatArray(浮点数数组),并向其添加了两个数值:100.0和300.0。
  2. 代码创建了一个vtkCardinalSpline实例,并关闭了其环形插值功能。然后,设置了左右两个点的二阶导数为0,以实现线性插值。
  3. 通过对distances数组中的数据进行处理,计算出了两个数值之间的长度,并根据长度将每个数值转换为一个t参数。然后,将这些点添加到了spline实例中。
  4. 代码在一个指定的间隔内对t参数进行遍历,并利用spline实例进行插值计算,并输出了结果。

prj name: CardinalSpline

#include 
#include 
#include 

int main(int, char*[])
{
  // Create a scalar array.  The array could be associated with the scalars of a
  // vtkDataSet
  vtkNew<vtkFloatArray> distances;
  distances->SetNumberOfComponents(1);
  distances->SetName("Distances");
  distances->InsertNextValue(100.0);
  distances->InsertNextValue(300.0);

  // Create a cardinal spline to show how to linearly interpolate between two
  // scalar values
  vtkNew<vtkCardinalSpline> spline;
  spline->ClosedOff();

  // Set the left and right second derivatives to 0 corresponding to linear
  // interpolation
  spline->SetLeftConstraint(2);
  spline->SetLeftValue(0);
  spline->SetRightConstraint(2);
  spline->SetRightValue(0);
  double* r = distances->GetRange();
  double xmin = r[0];
  double xmax = r[1];
  double length = xmax - xmin;
  for (vtkIdType i = 0; i < distances->GetNumberOfTuples(); ++i)
  {
    double x = distances->GetTuple1(i);
    double t = (x - xmin) / length;
    spline->AddPoint(t, x);
  }

  // Evaluate every 50 distance units along the line
  std::cout << "Spline interpolation:" << std::endl;
  double dt = .25;
  for (double t = dt; t <= 1. - dt; t += dt)
  {
    std::cout << "t: " << t << " value = " << spline->Evaluate(t) << std::endl;
  }

  return EXIT_SUCCESS;
}

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