Image enhancement through complex conduction coefficient modifications

Ahmad F.; Fuhrmann C.; Kerr P.; Fairley J.; Price S.; Durst B.

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Image enhancement through complex conduction coefficient modifications

机译：通过修改复杂的传导系数来增强图像

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One important term in the diffusion equation applied to image processing is the conduction coefficient. It could be a real or complex function, depending on the chosen diffusion processes. A modification in the form of the application of filter convolution to the real-value conduction coefficient has been recommended for the improvement of the signal-to-noise ratio and the speed by which the diffusion is performed. In this study, the developments of the approximately circularly symmetric two-dimensional Lagrange filter and the Teager operator are presented. They are proposed here for the modification of the complex-value conduction coefficient for the improvement of the image diffusion process. Performance of the proposed modifications is evaluated through simulation and the use of three metrics. Experimental results suggest the validity and applicability of the proposed modifications.

机译：应用于图像处理的扩散方程中的一个重要术语是传导系数。根据选择的扩散过程，它可能是实函数，也可能是复杂函数。为了提高信噪比和执行扩散的速度，已经建议对滤波器卷积对实值传导系数应用形式的修改。在这项研究中，提出了近似圆形对称的二维拉格朗日滤波器和Teager算子的发展。这里提出它们是为了修改复数值传导系数，以改善图像扩散过程。拟议修改的性能通过仿真和使用三个指标进行评估。实验结果表明所提出的修改的有效性和适用性。

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《Image Processing, IET》 |2012年第8期|p.1205-1219|共15页
作者
Ahmad F.; Fuhrmann C.; Kerr P.; Fairley J.; Price S.; Durst B.;
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Tarleton State University, Stephenville, TX, USA;

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Image enhancement through complex conduction coefficient modifications

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