The aim of this paper is to show that geometrical criteria for designing multishell q$$ q $$ ‐space sampling procedures do not necessarily translate into reconstruction matrices with high figures… Click to show full abstract
The aim of this paper is to show that geometrical criteria for designing multishell q$$ q $$ ‐space sampling procedures do not necessarily translate into reconstruction matrices with high figures of merit commonly used in the compressed sensing theory. In addition, we show that a well‐known method for visiting k‐space in radial three‐dimensional acquisitions, namely, the Spiral Phyllotaxis, is a competitive initialization for the optimization of our nonconvex objective function.
               
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