A research on difference scheme of image gravitational field in the GVF snake model is performed depending on the uniform stability and convergence conditions of the difference scheme.It is found that the original exp...A research on difference scheme of image gravitational field in the GVF snake model is performed depending on the uniform stability and convergence conditions of the difference scheme.It is found that the original explicit forward difference scheme puts a strict restriction on the diffusion coefficient in the partial differential equation which decelerates the convergence speed of difference equation iteration.A new difference scheme is put forward,which has the advantage of unconditional uniform stability and convergence,and the restriction on the coefficient of partial differential equation is removed.Through increasing the value of the coefficient appropriately,the image of boundary information transmission becomes faster.Hence,iteration calculations are decreased rapidly for a given transmission range.The simulation experiments indicate that the new difference scheme be higher efficiency than the traditional one.展开更多
基金supported by the National Key Technology R&D Program for the 11th five-year plan(NO.2008BADC4B15)Dr.Start Fund Project of Sichuan University of Science and Engineering(NO.2010ZY019)+2 种基金the project of youth fund of Sichuan Province(NO.10ZB097)the project for talent introduction of Sichuan University of Science and Engineering(NO.2009XJKL002)the Graduate Student Innovation Fund of Sichuan University of Science and Engineering(NO.Y2011001)~~
文摘A research on difference scheme of image gravitational field in the GVF snake model is performed depending on the uniform stability and convergence conditions of the difference scheme.It is found that the original explicit forward difference scheme puts a strict restriction on the diffusion coefficient in the partial differential equation which decelerates the convergence speed of difference equation iteration.A new difference scheme is put forward,which has the advantage of unconditional uniform stability and convergence,and the restriction on the coefficient of partial differential equation is removed.Through increasing the value of the coefficient appropriately,the image of boundary information transmission becomes faster.Hence,iteration calculations are decreased rapidly for a given transmission range.The simulation experiments indicate that the new difference scheme be higher efficiency than the traditional one.
