The Solving And Application Of Rational Approximants For Geometric Correction

The traditional methods of solving Rational Function Model is not stable.And the accuracy usually poor.So there is not a stable algorithm model for the software. To these problems,The main contents of this thesis are:The research on the Problem of solving Rational Function Model,in which the Rational Approximants theory is used to find a stable solving method.To weaken and overcome the Ill-effects, some methods and algorithms are suggested and illustrated.Using Conditional Number,ridge estimate,1-curve,tikhonov theory.In the last of this paper, Experiments results show that the algorithm is a correct and accurate method for geometric correction.