A numerical approach to the selection of basis for frame-encoded MRI

A numerical approach was proposed to systematically investigating the suitability of various bases for frame-encoded magnetic resonance imaging (MRI). Several basic requirements were established for the ideal encoding frame basis. Three different orders of spline bases were extensively examined with simulation of 2-dimensional MRI. Analyses of imaging time and signal-to-noise ratio showed that the compactly supported quadratic spline basis is a strong candidate for high quality MRI with a short imaging time. The simulations also suggested that encoding with three levels of resolution is the best choice.