locan.analysis.uncertainty.localization_precision_model_3

locan.analysis.uncertainty.localization_precision_model_3(intensity, psf_sigma, pixel_size, local_background)[source]

Localization precision as function of intensity (I), PSF size (sigma_{PSF}), pixel size (a), background (b) according to:

\[ \begin{align}\begin{aligned}\sigma_{a} ^{2} = \sigma_{PSF} ^{2} + a^{2} / 12\\\tau = 2 * \pi * b * \sigma_{a} ^{2} / (I * a^{2})\\\sigma_{loc} ^{2} = \sigma_{a} ^{2} / I * (1 + 4 * \tau + \sqrt{2 * \tau / (1 + 4 * \tau) } )\end{aligned}\end{align} \]
Parameters:

  • intensity (Union[_Buffer, _SupportsArray[dtype[Any]], _NestedSequence[_SupportsArray[dtype[Any]]], bool, int, float, complex, str, bytes, _NestedSequence[bool | int | float | complex | str | bytes]]) – Intensity values

  • psf_sigma (Union[_Buffer, _SupportsArray[dtype[Any]], _NestedSequence[_SupportsArray[dtype[Any]]], bool, int, float, complex, str, bytes, _NestedSequence[bool | int | float | complex | str | bytes]]) – The PSF size

  • pixel_size (Union[_Buffer, _SupportsArray[dtype[Any]], _NestedSequence[_SupportsArray[dtype[Any]]], bool, int, float, complex, str, bytes, _NestedSequence[bool | int | float | complex | str | bytes]]) – Size of camera pixel

  • local_background (Union[_Buffer, _SupportsArray[dtype[Any]], _NestedSequence[_SupportsArray[dtype[Any]]], bool, int, float, complex, str, bytes, _NestedSequence[bool | int | float | complex | str | bytes]]) – The local background

Return type:

npt.NDArray[np.float64]