Systems and methods for developing a treatment plan for irradiating a treatment volume within a patient are disclosed. In accordance with the present invention, control points used to calculate a dose of radiation delivered to the treatment volume may be combined to result in a smaller number of control points. The smaller number of control points may allow more efficient calculation of dose distributions resulting in a treatment plan that can be delivered to the patient earlier or may allow additional iterations of treatment plan optimization resulting in a more accurate dose distribution being delivered to the patient.