×

MRI gradient waveform design using convex optimization

  • US 7,301,341 B2
  • Filed: 10/08/2003
  • Issued: 11/27/2007
  • Est. Priority Date: 10/08/2003
  • Status: Active Grant
First Claim
Patent Images

1. A method of rapid magnetic resonance imaging using constrained optimization comprising the steps of:

  • A) applying a magnetic gradient to an object, comprising the steps of;

    a) selecting a number N of discrete-time waveforms with a sampling period, τ

    , and time T=Nτ

    ,b) expressing constraints as equations,c) identifying if a solution exists for T, and if not, increasing T until a solution exists,d) decreasing T to find a shortest solution, ande) solving the equations to identify said shortest solution, utilizing linear programming to identify said shortest solution, wherein the linear programming finds the vector x that minimizes a cost function fTx subject to the constraint Ax=<

    b, where matrix A and vector b are formed by combining all of the linear constraint equations for an amplifier and pulse sequence constraints, wherein said shortest solution is used for generation of said magnetic gradient;

    B) detecting imaging signals; and

    C) providing an image based on the detected image signals.

View all claims
  • 2 Assignments
Timeline View
Assignment View
    ×
    ×