A touch sensing system includes a capacitive sense array. Each sensor has a unique location type. The system includes a capacitance measurement circuit coupled to the array, which measures capacitance changes at each sensor. The system also includes a memory device that stores three or more adjustment parameters. Each parameter corresponds to one or more location types, and is used in computing virtual sensor values. The system receives measured capacitance changes corresponding to a touch on the array and identifies a first sensor whose measured capacitance change is a local maximum. The system determines a location type of the first sensor. According to the location type, the adjustment parameters corresponding to the location type, and the measured capacitance changes, the system computes virtual sensor measurements. The system then computes a centroid of the touch using the measured capacitance changes and the virtual sensor measurements.