2.1.23.2.9 ocmath_find_peaks_2nd_derivative
Description
Find curve's peaks by 2nd derivative.
Syntax
int ocmath_find_peaks_2nd_derivative( UINT * lSize, const double * px, const double * py, double * pxPeaks, double * pyPeaks, int * pnIndices, DWORD dwCtrl, int nDerivativeMethod = 1, double * pSecondDeriv=NULL, int nPtsSmooth = 11, int nPolyOrder=2)
Parameters
- lSize
- [modify] on input, size of px, py, pxPeaks, pyPeaks, pnIndices; on output, return number of peaks
- px
- [input] it contains curve's X coordinate's datas
- py
- [input] it contains curve's Y coordinate's datas
- pxPeaks
- [output] Its size is equal to the size of px. it contains peaks' X coordinate's datas,
- if the number of peaks is less than its size, the excrescent elements of it are filled
- with 0.
- pyPeaks
- [output] Its size is equal to the size of py. it contains peaks' Y coordinate's datas,
- if the number of peaks is less than its size, the excrescent elements of it are filled
- with 0.
- pnIndices
- [output] Its size is equal to the size of px. it contains peaks' indices, if peaks's number is
- less than its size, the excrescent elements of it are filled with 0.
- dwCtrl
- [input] combine of POSITIVE_DIRECTION, NEGATIVE_DIRECTION, KEEP_OPPOSITE_SIDE
- nDerivativeMethod
- [input] derivative method: DERIVATIVE_WITHOUT_SMOOTH = 0, DERIVATIVE_WITH_ADJ_SMOOTH, DERIVATIVE_USE_SG_SECOND_DERIV, DERIVATIVE_WITH_CONTINUOUS_SG_FIRST_DER_SMOOTH
- pSecondDeriv
- [output] to keep second derivative vector of different methods
- nPtsSmooth
- [input] smooth points number
- nPolyOrder
- [input] polynomial order of SG derivative method
Return
Return OE_NOERROR if succeed, otherwise, non-zero error code is returned.
Examples
EX1
//Assume in the current graph, curve's XY data is in the first data plot. This piece
//of code get the XY data of the curve from the first data plot and find the feets of
//the peaks. The result is output in a new worksheet and the feets will plot in the
//original data plot.
void ocmath_find_peaks_2nd_derivative_ex1( )
{
GraphLayer gl = Project.ActiveLayer();
if (!gl)
{
return;
}
//get data from the first data plot
DataPlot dp = gl.DataPlots(0);
DataRange dr;
vector vxData, vyData;
if(dp.GetDataRange(dr))
{
DWORD dwPlotID;
if(dr.GetData(DRR_GET_DEPENDENT | DRR_NO_FACTORS, 0, &dwPlotID, NULL, &vyData, &vxData) < 0)
{
printf("get_plot_data failed GetData");
return;
}
}
uint nDataSize = vxData.GetSize();
int iSize = vxData.GetSize();
vector vxPeaks, vyPeaks;
vector<int> vnIndices;
vxPeaks.SetSize(nDataSize);
vyPeaks.SetSize(nDataSize);
vnIndices.SetSize(nDataSize);
int nRet = ocmath_find_peaks_2nd_derivative( &nDataSize, vxData, vyData, vxPeaks, vyPeaks, vnIndices, POSITIVE_DIRECTION | NEGATIVE_DIRECTION, 1, NULL, 11, 3);
if( nRet < OE_NOERROR )
{
printf("error code: %d\n", nRet);
return;
}
vxPeaks.SetSize(nDataSize);
vyPeaks.SetSize(nDataSize);
vnIndices.SetSize(nDataSize);
//new a worksheet to output the result
WorksheetPage wksPage;
wksPage.Create();
Worksheet wksResult = wksPage.Layers(0);
int nIndCol, nXCol, nYCol;
nIndCol = wksResult.AddCol("Indices");
nXCol = wksResult.AddCol("X Coordinate");
nYCol = wksResult.AddCol("Y Coordinate");
wksResult.Columns(nIndCol).SetType(OKDATAOBJ_DESIGNATION_X);
wksResult.Columns(nXCol).SetType(OKDATAOBJ_DESIGNATION_X);
wksResult.Columns(nYCol).SetType(OKDATAOBJ_DESIGNATION_Y);
DataRange drOut;
drOut.Add("X", wksResult, 0, nIndCol, -1, nIndCol);
drOut.Add("Y", wksResult, 0, nXCol, -1, nXCol);
drOut.Add("Z", wksResult, 0, nYCol, -1, nYCol);
drOut.SetData(&vyPeaks, &vxPeaks, &vnIndices);
//show the feets in the data plot
XYRange plotRange;
plotRange.Add("X", wksResult, 0, nXCol, -1, nXCol);
plotRange.Add("Y", wksResult, 0, nYCol, -1, nYCol);
gl.AddPlot(plotRange, IDM_PLOT_SCATTER);
}
Remark
Find curve's peaks by 2nd derivative. Calculate curve's smoothed 2nd derivative on every point in px, py.
Then the point is a peak, if the smoothed 2nd derivative on it is extremum.
POSITIVE_DIRECTION peak, if the smoothed 2nd derivative on it is local maximum.
NEGATIVE_DIRECTION peak, if the smoothed 2nd derivative on it is local minimum.
lsize returns the number of peaks, pxPeaks and pyPeaks contain X and Y coordinate's datas of peaks,and pnIndices contains the indices of peaks.
See Also
ocmath_find_peaks_1st_derivative
Header to Include
origin.h
Reference
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