The invention provides a method for generating a filtered ultrasound image. The method begins by obtaining channel data. First and second apodization functions are applied to the channel data to generate first (610) and second (620) image data, respectively. A minimization function is then applied to the first (610) and second (620) image data, which may then be used to generate third (630) image data. The filtered ultrasound image may then be generated based on the first (610) and third (630) image data.