Patent ID: 8874249

Claim:
A method for performing a real-time control of a semiconductor product manufacturing process, the method comprising: measuring attributes of a spatial feature being patterned over an area of a semiconductor product being manufactured by one or more semiconductor manufacturing tools, the measured attributes including: a non-linear spatial variation of the feature of the semiconductor product; generating one or more orthogonal and normalized mesh functions which model the non-linear spatial variation of the feature on the semiconductor product being manufactured; determining coefficients of the one or more generated orthogonal and normalized mesh functions in real-time for particular non-spatial variations; mapping the determined coefficients to actual process parameters that govern the semiconductor product manufacturing process; adjusting, based on the determined coefficients, the one or more semiconductor manufacturing tools during manufacturing the semiconductor product; and correcting, by the semiconductor manufacturing tool adjustment, the non-linear spatial variation on the feature of the semiconductor product being manufactured, wherein a processor coupled to a memory device is configured to perform: the measuring, the generating, the determining, the adjusting, the mapping and the correcting.