System and method for enabling ultrasonic inspection of a variable and irregular shape. The system comprises one or more ultrasonic pulser/receivers, one or more ultrasonic transducer arrays, a shoe or jig to hold and position the array(s), data acquisition software to drive the array(s), and data analysis software to select a respective best return signal for each pixel to be displayed. This system starts with information about the general orientation of the array relative to the part and a general predicted part shape. More specific orientation of the transmitted ultrasound beams relative to the part surface is done electronically by phasing the elements in the array(s) to cover the expected (i.e., predicted) surface as well as the full range of part surface variability.