热扩散方程的一个运用

A use of Heat Diffusion Equation

偏微分方程曾被用于图像分析,基于偏微分方程的图像处理,需要相应算法迭代的停止点,即在该点得到的图像相比于原始图像更清晰,且往后继续迭代不会得到更清晰的图像。本文运用热扩散方程解去除数字信号中的噪声。在一个R上的有界区域,运用解偏微分方程数值解的方法处理数字信号。

Partial differential equation once used to analyze imagines. Imagine processing based on partial differential equations needs the corresponding algorithm by which we get stop point of iteration. The imagine at this point is clearer than the imagine before the point and the imagine before the point. In this paper, we will use Heat Diffusion equation to investigation how to remove the noise in digital signals. We deal with digital signals, via Partial Differential Equation approach on a bounded domain Ω of R.