ocmath_3d_interpolate
Description
This function interpolates an input scattered data points at given 3d xyz coordinates, with the modified Shepard method.
Syntax
int ocmath_3d_interpolate( const double * pX, const double * pY, const double * pZ, double * pQ, UINT nSize, const double * pSrcX, const double * pSrcY, const double * pSrcZ, const double * pSrcF, UINT nSrcSize )
Parameters
- pX
- [input] pointer to X coordinate to be evaluated. size is nSize
- pY
- [input] pointer to Y coordinate to be evaluated. size is nSize
- pZ
- [input] pointer to Z coordinate to be evaluated. size is nSize
- pQ
- [output] pointer to the interpolation values at evaluation points. size is nSize
- nSize
- [input] size of evaluation points, nSize > 0
- pSrcX
- [input] pointer to the X value of original scattered data points, size is nSrcSize.
- pSrcY
- [input] pointer to the Y value of original scattered data points. size is nSrcSize.
- pSrcZ
- [input] pointer to the Z value of original scattered data points. size is nSrcSize.
- pSrcF
- [input] pointer to the F value of original scattered data points. size is nSrcSize.
- nSrcSize
- [input] size of original scattered data points, nSrcSize ≥ 10.
Return
Return 0 if succeed, or a non-zero Nag error codes:
NE_INT = 90: nSrcSize must be not less than 10. nSize must be larger than 1
NE_DATA_COPLANAR = 2083: All nodes are coplanar. There is no unique solution
NE_DUPLICATE_NODE = 2084: There are duplicate nodes in the dataset. The interpolant can not be derived.
NE_BAD_POINT = 2085: At least one evaluation points lies outside the region of definition of the interpolant.
Examples
EX1
//Before running, make sure a worksheet is active in current project
void ocmath_3d_interpolate_ex1(int nSize)
{
Worksheet wks = Project.ActiveLayer();
wks.SetSize(-1,4);
DataRange drIn;
drIn.Add("Range1", wks, 0, 0, -1, 0);
drIn.Add("Range2", wks, 0, 1, -1, 1);
drIn.Add("Range3", wks, 0, 2, -1, 2);
drIn.Add("Range4", wks, 0, 3, -1, 3);
vector vSrcX, vSrcY, vSrcZ, vSrcF;
drIn.GetData(&vSrcX, 0);
drIn.GetData(&vSrcY, 1);
drIn.GetData(&vSrcZ, 2);
drIn.GetData(&vSrcF, 3);
int nSrcSize = vSrcX.GetSize();
double dmin,dmax;
vector vx,vy,vz,vf;
vSrcX.GetMinMax(dmin,dmax);
vx.Data(dmin, dmax, (dmax-dmin)/(nSize-1));
vSrcY.GetMinMax(dmin,dmax);
vy.Data(dmin, dmax, (dmax-dmin)/(nSize-1));
vSrcZ.GetMinMax(dmin,dmax);
vz.Data(dmin, dmax, (dmax-dmin)/(nSize-1));
vf.SetSize(nSize);
int nRet = ocmath_3d_interpolate(vx, vy, vz, vf, nSize, vSrcX, vSrcY, vSrcZ,vSrcF, nSrcSize);
if (nRet != OE_NOERROR)
{
printf("Error occurs when calling ocmath function!\n");
return
}
Worksheet wksResult;
wksResult.Create("InterResult");
while(wksResult.Columns())
wksResult.DeleteCol(0);
for(int n=0; n < 4; n++)
wksResult.AddCol();
DataRange drOut;
drOut.Add("X", wksResult, 0, 0, -1, 0);
drOut.Add("X", wksResult, 0, 1, -1, 1);
drOut.Add("X", wksResult, 0, 2, -1, 2);
drOut.Add("X", wksResult, 0, 3, -1, 3);
drOut.SetData(vx, false, 0);
drOut.SetData(vy, false, 1);
drOut.SetData(vz, false, 2);
drOut.SetData(vf, false, 3);
}
Remark
This function interpolates the input data exactly and has quadratic accuracy.
The time taken will depend in general on the distribution of the data points.
At worst, O(nSrcSize*(nSrcSize+nSize)) time will be required.
See Also
ocmath_2d_interpolate, ocmath_interpolate
header to Include
origin.h
Reference
nag_3d_shep_interp(e01tgc), nag_3d_shep_eval(e01thc)
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