This paper is to discuss the derivative of fragmental function on the boundary point, and to put forward the new method to this type of questions.

对分段函数分界点处的求导进行了讨论，对分段函数在分界点处求导的方法进行了改进。

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Experimental results show that the method can effectively restore the infrared image's fragmental targets and realize targets 'complete segmentation.

实验结果表明，该方法能有效地对红外图像中的破碎目标进行复原，实现目标完整分割。

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Experimental results show that the method can effectively restore the infrared image's fragmental targets and realize targets 'complete segmentation.

实验结果表明，该方法能有效地对红外图像中的破碎目标进行复原，实现目标完整分割。

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