论文标题

使用偏微分方程的图像三核:一种自动精子图像分析的新方法

Image Trinarization Using a Partial Differential Equations: A Novel Approach to Automatic Sperm Image Analysis

论文作者

Jacobs, B. A.

论文摘要

部分微分方程最近由于其可扩展性,严格地设计和分析管理动力学的能力以及使用数值方法的实现易于实现的能力而引起了大量关注。本文通过在精子形态自动分析中使用的精子图像的分类区域的具体现实世界应用来探讨一种新颖的图像三联化方法。提出的方法工程师具有非线性源项的扩散方程,显示了三个稳态。该模型是使用标准有限差方法作为图像处理器实现的,以说明所提出方法的功效。根据标准图像群集/分割方法,对所提出的方法的性能进行了基准测试,并证明是非常有效的。

Partial differential equations have recently garnered substantial attention as an image processing framework due to their extensibility, the ability to rigorously engineer and analyse the governing dynamics as well as the ease of implementation using numerical methods. This paper explores a novel approach to image trinarization with a concrete real-world application of classifying regions of sperm images used in the automatic analysis of sperm morphology. The proposed methodology engineers a diffusion equation with non-linear source term, exhibiting three steady-states. The model is implemented as an image processor using a standard finite difference method to illustrate the efficacy of the proposed approach. The performance of the proposed approach is benchmarked against standard image clustering/segmentation methods and shown to be highly effective.

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