Arbitrary-Shape-Arrayed Aperture Fourier Beamforming in Arbitrary Coordinate System with No Approximate Interpolation

With the developed new approach, an arbitrary-shape-arrayed aperture Fourier beamforming can be performed in an arbitrary coordinate system without any approximate interpolations, for instance, direct generations of rf-echo data in a Cartesian coordinate system when using a convex or sector probe, or using a virtual point source set behind a linear-array-type probe, etc. In this report, the feasibility is confirmed for the 2D and 3D imaging through phantom experiments.