An ultrasound imaging system, comprising: a transducer array, comprising: a row-column addressed 2-D array of transducer elements, wherein the row-column addressed 2-D array comprises: a first array (118 or 120) of 1-D arrays of elements; a second array (120 or 118) of 1-D arrays of elements, which is orthogonal to the first array; and a double-curved surface; transmit circuitry configured to convey an excitation pulse to one of the first or the second array of 1-D arrays of elements of the row-column addressed 2-D array of transducer elements; receive circuitry configured to receive a signal indicative of an ultrasound echo from the other of the first or the second array of 1-D arrays of elements of the row-column addressed 2-D array of transducer elements; a beamformer configured to generate ultrasound image data with the received signal and time-of-flight distances for each of the elements of the transducer elements, and a display configured to display the ultrasound image data, characterized in that the beamformer is configured to compute, for both the first array of 1-D arrays of elements of the row-column addressed 2-D array of transducer elements and the second array of 1-D arrays of elements of the row-column addressed 2-D array of transducer elements, a time-of-flight distance from each of the 1-D arrays of elements to an imaging point P, for all imaging points of interest, as BP + PA, where BP ̅ = BP TX proj ̅ 2 + P TX proj P ̅ 2, P TX proj P is a line segment from the imaging point P to a projection P TX proj that is perpendicular to a transmit plane and BP TX proj is a line segment computed by subtracting a vector pointing from a curved surface center of the double-curved surface to the perpendicular projection P TX proj by a fixed radius of the curved surface, and where PA ̅ = AP RX proj ̅ 2 + P RX proj P ̅ 2, P RX proj P is a line segment from the imaging point P to a projection P RX proj that is perpendicular to a receive plane and AP RX proj is a line segment computed by subtracting the line segment from the curved surface center to the perpendicular projection P RX proj by the fixed radius of the curved surface. a transducer array, comprising: a row-column addressed 2-D array of transducer elements, wherein the row-column addressed 2-D array comprises: a first array (118 or 120) of 1-D arrays of elements; a second array (120 or 118) of 1-D arrays of elements, which is orthogonal to the first array; and a double-curved surface; a row-column addressed 2-D array of transducer elements, wherein the row-column addressed 2-D array comprises: a first array (118 or 120) of 1-D arrays of elements; a second array (120 or 118) of 1-D arrays of elements, which is orthogonal to the first array; and a double-curved surface; a first array (118 or 120) of 1-D arrays of elements; a second array (120 or 118) of 1-D arrays of elements, which is orthogonal to the first array; and a double-curved surface; transmit circuitry configured to convey an excitation pulse to one of the first or the second array of 1-D arrays of elements of the row-column addressed 2-D array of transducer elements; receive circuitry configured to receive a signal indicative of an ultrasound echo from the other of the first or the second array of 1-D arrays of elements of the row-column addressed 2-D array of transducer elements; a beamformer configured to generate ultrasound image data with the received signal and time-of-flight distances for each of the elements of the transducer elements, and a display configured to display the ultrasound image data, characterized in that the beamformer is configured to compute, for both the first array of 1-D arrays of elements of the row-column addressed 2-D array of transducer elements and the second array of 1-D arrays of elements of the row-column addressed 2-D array of transducer elements, a time-of-flight distance from each of the 1-D arrays of elements to an imaging point P, for all imaging points of interest, as BP + PA, where BP ̅ = BP TX proj ̅ 2 + P TX proj P ̅ 2, P TX proj P is a line segment from the imaging point P to a projection P TX proj that is perpendicular to a transmit plane and BP TX proj is a line segment computed by subtracting a vector pointing from a curved surface center of the double-curved surface to the perpendicular projection P TX proj by a fixed radius of the curved surface, and where PA ̅ = AP RX proj ̅ 2 + P RX proj P ̅ 2, P RX proj P is a line segment from the imaging point P to a projection P RX proj that is perpendicular to a receive plane and AP RX proj is a line segment computed by subtracting the line segment from the curved surface center to the perpendicular projection P RX proj by the fixed radius of the curved surface.