| 图象恢复中的超收敛 |
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| 引用本文： | 金大永.图象恢复中的超收敛[J].辽宁工程技术大学学报(自然科学版),2001,20(2):247-250. |
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| 作者姓名： | 金大永 |
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| 作者单位： | 河北工业大学文理学院, |
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| 摘 要： | 图象恢复中象与原象的关系可以表示为一个非线性积分－微分方程。本文了在一致三角剖分的条件下，该方程有限元解的超逼近性质。最后利用有限元的后处理技术证明了该数值解的整体超收敛性。
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| 关 键 词： | 图象恢复 非线性积分－微分方程 有限元 超逼近 收敛性 |
| 文章编号： | 1008-0562(2001)01-0247-04 |
| 修稿时间： | 2000年10月22 |
Super Convergence in Picture Restoration |
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| JIN Da-yong.Super Convergence in Picture Restoration[J].Journal of Liaoning Technical University (Natural Science Edition),2001,20(2):247-250. |
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| Authors: | JIN Da-yong |
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| Abstract: | The relation of image and image points in picture restoration problem can be expressed as nonlinear integral differential equation. How to deal with this kind of equation is a very important problem in applied mathematics. In this paper, we use FEM to solve this equation and successive process technique to deal with the FEM solution Theoretic at analysis has been made to show that the solution has super convergence and whole super convergence property if the FEM space is uniform triangular mesh. |
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| Keywords: | picture restoration nonlinear integral differential equation finite element super-convergence picture |
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