Abstract: A tire measurement system includes a computer with various memory/media elements for storing raw and transformed tire measurement data (e.g., a data set of measured radial or lateral run-out values) as well as software in the form of computer-executable instructions, which are executed by a processor to filter selected run-out values within the obtained data set that spike above adjacent measurements, identify selected ones of the filtered run-out values that lie on a convex hull surrounding the entire set of values, and perform interpolation of the identified selected ones of the run-out values that lie on the convex hull to obtain a final data set of filtered run-out measurements. Similar steps can be performed on an inverted data set to better detect sidewall deformation features such as sidewall depressions.