bilinear
: Bilinear interpolator#
Bilinear interpolator, peak finder, line-profile for images
- class BilinearImage#
Bilinear interpolator for images … or any data on a regular grid
- __call__()#
Function f((y, x)) where f is a continuous function made from the image and (y,x)=(row, column) is the pixel coordinates in natural C-order
- Parameters:
x – 2-tuple of float (row, column)
- Returns:
Interpolated signal from the image
- coarse_local_maxi(self, Py_ssize_t x) Py_ssize_t #
Return the nearest local maximum … without sub-pixel refinement
- Parameters:
idx – start index (=row*width+column)
- Returns:
local maximum index
- local_maxi(self, coord)#
Return the nearest local maximum … with sub-pixel refinement
- Nearest maximum search:
steepest ascent
- Sub-pixel refinement:
Second order Taylor expansion of the function; At the maximum, the first derivative is null delta = x-i = -Inverse[Hessian].gradient if Hessian is singular or |delta|>1: use a center of mass.
- Parameters:
coord – 2-tuple of scalar (row, column)
- Returns:
2-tuple of float with the nearest local maximum
- map_coordinates(self, coordinates)#
Map coordinates of the array on the image
- Parameters:
coordinates – 2-tuple of array of the same size (row_array, column_array)
- Returns:
array of values at given coordinates
- opp_f(self, coord)#
Function -f((y,x)) for peak finding via minimizer.
Gives large number outside the boundaries to return into the image
- Parameters:
x – 2-tuple of float in natural C order, i.e (row, column)
- Returns:
Negative interpolated signal from the image
- profile_line(self, src, dst, int linewidth=1, method=u'mean')#
Return the mean or sum of intensity profile of an image measured along a scan line.
- Parameters:
src (2-tuple of numeric scalar) – The start point of the scan line.
dst (2-tuple of numeric scalar) – The end point of the scan line. The destination point is included in the profile, in contrast to standard numpy indexing.
linewidth (int) – Width of the scanline (unit image pixel).
method (str) – ‘mean’ or ‘sum’ depending if we want to compute the mean intensity along the line or the sum.
- Returns:
The intensity profile along the scan line. The length of the profile is the ceil of the computed length of the scan line.
- Return type:
1d array
Inspired from skimage