Image registration method
First Claim
1. Method for the registration of images by iterative determination of an optimum transformation with respect to a predetermined distance and smoothness criterion, characterized in that control points corresponding in the images can be imaged on one another in guaranteeable manner, by (1) initialization of an iteration counter and the initial displacement field, (2) determining the numeral solutions of the nonlinear, partial differential equation (PDE) with the differential operator derivable from a predetermined smoothness criterion and the point evaluation functionals located at the predetermined control points, (3) combining the interpolation conditions, (4) calculating a specific, numerical solution of the PDE with the force determined on the basis of the distance criterion and the actual displacement field and the differential operator derived from the smoothness criterion, (5) evaluating the specific solution at the control points, (6) determining the coefficients for calculating an updated displacement, (7) updating the displacement field and raising the iteration counter, (8) checking the displacement for convergence and (9) in the case of nonfulfilment of the convergence criterion, repetition of steps (4) to (8).
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Abstract
Disclosed is an image registration method by iteratively determining a transformation that is optimal regarding a given distance criterion and smoothness criterion. Said method allows corresponding landmarks in the images to be definitely represented on top of each other and comprises the following steps: (1) an iteration counter and the initial displacement field are initialized; (2) the numerical solutions of the non-linear partial differential equation (PDE) are determined by means of the differential operator that can be derived from a predefined smoothness criterion and the point evaluation functionals located at given landmarks; (3) the interpoliation conditions are combined; (4) a special numerical solution of the PDE is calculated by means of the force that is determined based on the distance criterion and the actual displacement field as well as the differential operator derived from the smoothness criterion; (5) the special solution is evaluated at the landmarks; (6) the coefficients are calculated in order to calculate an updated displacement; (7) the displacement field is updated and the iteration counter is increased; (8) the displacement is verified regarding convergence; and (9) steps (4) to (8) are repeated if the convergence criterion is not satisfied.
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Citations
10 Claims
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1. Method for the registration of images by iterative determination of an optimum transformation with respect to a predetermined distance and smoothness criterion, characterized in that control points corresponding in the images can be imaged on one another in guaranteeable manner, by
(1) initialization of an iteration counter and the initial displacement field, (2) determining the numeral solutions of the nonlinear, partial differential equation (PDE) with the differential operator derivable from a predetermined smoothness criterion and the point evaluation functionals located at the predetermined control points, (3) combining the interpolation conditions, (4) calculating a specific, numerical solution of the PDE with the force determined on the basis of the distance criterion and the actual displacement field and the differential operator derived from the smoothness criterion, (5) evaluating the specific solution at the control points, (6) determining the coefficients for calculating an updated displacement, (7) updating the displacement field and raising the iteration counter, (8) checking the displacement for convergence and (9) in the case of nonfulfilment of the convergence criterion, repetition of steps (4) to (8).
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