不确定性边缘表示与提取的认知物理学方法

图像边缘检测是图像处理的一种重要技术, 其中不确定性表示与提取是关键问题之一. 在现有模拟物理学思想的相关方法基础之上, 提出了基于认知物理学的不确定性边缘表示与提取方法. 该方法利用数据场发现图像全局灰度认知, 构建图像灰度值空间到数据场势值空间的映射关系, 从场论的角度建立了可扩展的理论框架、统一了现有相关方法; 另一方面, 构造半升云模型建立云模型确定度的变化幅度与边缘像素表示与提取的内在关联关系, 最终在认知物理学核心理论的支持下实现图像不确定性边缘表示与提取. 所提出的方法时间耗费近似与图像尺寸成线性关系. 定性和定量的实验结果及分析表明, 该方法的分割效果较好, 性能稳定, 具有合理性和有效性. 关键词： 边缘检测 图像分割 云模型 数据场

Cognitive physics-based method for image edge representation and extraction with uncertainty

Image edge detection is an important tool of image processing, in which edge representation and extraction with uncertainty is one of key issues. Based on the physics-like methods for image edge representation and extraction, a novel cognitive physics-based method with uncertainty is proposed. The method uses data field to discover the global information from the image and then to map it from grayscale space to the appropriate potential space. From the point of view of the field theory, the method establishes an extensible theoretical framework and unifies the existing physics-like methods. On the other hand, the method defines the ascending half-cloud to construct the internal relationship between the range of cloud uncertainty degree and the edge representation and extraction. Finally, the method achieves image edge representation and extraction with uncertainty using the cognitive physics. The time complexity of the proposed algorithm is approximately linear in the size of the original image. It is indicated by the quantitative and qualitative experiments that the proposed method yields accurate and robust result, and is reasonable and effective.