This dataset contains the raw data needed to reproduce the figures for the journal article "Ohmic response in BiFeO3 domain walls by submicron-scale four-point probe resistance measurements". It consists of the following data types:

1) Image data (.png and .tif)

2) Scanning probe microscopy data (.spm and .ibw), which can be opened with the freeware Gwyddion. Data that has been processed with a denoising algorithm ends with .gsf.

3) Program code (.m), which can be opened with MATLAB for the image denoising code simulation.

Instructions on how to run the denoising code:

Using Matlab to run 'AFM_Image_Denoising_GUI.m';

Load data: select the .ibw file, input the channel number and click the button 'Load & Show', then you can see the image you want to process (It is not necessary to change 'Approx. Min Size' but you can change it if for checking other results);

Denoise: Click the 'Denoise' button, and you can see the denoising result;

Save: Click the 'Save as .gsf' button.

4) Electrical data (.xls), measured by a Keithley 4200 parameter analyzer. The files can be opened with Excel. The measurements are taken by multiple internal source-measure units (SMUs). Each file consists of several data columns such as time (s), voltage (V) or current (A) of the respective SMU and the respective error (the SMU number is noted in the header: AV is voltage from SMU1, BI is current from SMU2, etc.). From the current and voltage data, the 2-point and 4-point resistances can be calculated. Each .xls file is named after the figure in which the raw data was used. In case data was fitted, the current range of each fit is given in separate .txt files.

5) Finite element simulation files (.mph), which can be opened using the COMSOL software.

6) .dat files, which can be opened by any text editor.

7) .kicad_sch files, which can be opened by the Freeware KiCad.

The data is ordered according to the order of appearance in the manuscript.