中文摘要：

针对红外图像具有目标边缘和细节模糊的缺点，提出一种双峰高斯函数规定化的变分红外图像增强算法。该方法将图像变换到梯度域，得到图像的梯度直方图，构造出一个双峰高斯函数，以此对梯度直方图的分布加以约束，用变分方法对梯度场中增强的图像进行重建以提高图像的对比度和增强目标边缘和细节信息。为了防止噪声被放大，在构造增强的梯度场时，对噪声做了幅值切割。实验结果表明，该算法无论是在视觉效果上还是在图像信息熵评估值定量指标上均明显优于直方图均衡化和规定化算法，为红外图像提供了很好的视觉效果。

英文摘要：

Infrared images typically have the problems of target fuzzy edges and details. The variable infrared image enhancement algorithm of bimodal Gaussian function specification is introduced. Firstly, by converting the image to the gradient domain, image gradient histogram can be obtained. Then, by constructing a bimodal Gaussian function, the distribution of the gradient histogram can be restricted. Finally, by using the variational method to reconstruct the image from the gradient field, the contrast and target edges and details of the image are improved. The cutting of the amplitude of noise in the transform of gradient field prevents the amplification of noise. Based on actual experimental results, both in visual effects and quantitative indicators of the assessed value of the image information entropy, the algorithm is significantly better than the histogram equalization and specification. Therefore, it gives a good visual effect for the infrared image.