吉首大学学报(自然科学版) ›› 2021, Vol. 42 ›› Issue (4): 44-49.DOI: 10.13438/j.cnki.jdzk.2021.04.009

• 计算机与通信 • 上一篇    下一篇

一种改进全变分配准模型的优化NMG求解方法

韩晓花,杨奋林   

  1. (吉首大学数学与统计学院,湖南 吉首 416000)
  • 出版日期:2021-07-25 发布日期:2021-11-17
  • 通讯作者: 杨奋林(1982—),女,湖南宁乡人,吉首大学数学与统计学院副教授,博士,主要从事图像处理和科学计算研究.
  • 作者简介:韩晓花(1997—),女,山西忻州人,吉首大学数学与统计学院硕士研究生,主要从事图像配准研究
  • 基金资助:
    国家自然科学基金资助项目(11501243);吉首大学校级科研项目(JDY060)

An Optimized NMG Solution to an Improved Total Variational Registration Model

HAN Xiaohua, YANG Fenlin   

  1. (School of Mathematics and Statistics, Jishou University, Jishou 416000, Hunan China)
  • Online:2021-07-25 Published:2021-11-17

摘要:引入超曲面函数作为图像配准正则项的核函数,建立了位移兼顾全局平滑与保留不连续性的改进全变分(TV)配准模型.为了快速有效地求解该模型,在一般的非线性多重网格(NMG)算法中,使用滞后扩散不动点迭代与逐次超松弛迭代相互作用构造新的平滑方法,并在限制过程中采用层析技术将粗网格上的误差插值回细网格,设计出一种优化NMG算法.仿真实验结果表明,优化NMG算法与NMG算法相比,配准精度更高,收敛速度更快;改进TV配准模型与TV配准模型相比,配准误差更小,耗时更少,配准效果更好.

关键词: 图像配准, 全变分, 保留不连续性, 非线性多重网格, 滞后扩散不动点迭代, 逐次超松弛迭代

Abstract: An improved total variational (TV) registration  model with both global smooth and discontinuous-preserving displacements is established by introducing hypersurface function as the kernel function of image registration regularization term. In the nonlinear multi-grid (NMG) method, a new smoothing method is constructed by using the interaction of delayed diffusion fixed point iteration and successive over relaxation iteration. And by interpolation of the errors on the coarse grid back to the fine grid using tomographic techniques during confinement, a fast and effective nonlinear multi-grid algorithm for solving improved TV model is designed. The experimental results show that the optimized NMG algorithm has higher registration accuracy and faster convergence than the NMG method. Improved TV model registration has less error, less time-consuming and better registration performance than TV model registration.

Key words: image registration, total variation, discontinuity-preserving, nonlinear multi-grid, delayed diffusion fixed point iteration, successive over relaxation iteration

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