伪球滤波及其在图像特征检测中的应用研究

项目名称： 伪球滤波及其在图像特征检测中的应用研究

项目编号： No.61201395

项目类型： 青年科学基金项目

立项/批准年度： 2013

项目学科： 电子学与信息系统

项目作者： 刘红敏

作者单位： 河南理工大学

项目金额： 27万元

中文摘要： 本课题通过对数学上原点处无定义的伪球进行补充定义，克服原始伪球不能用于滤波的自身缺陷，使其像高斯函数一样能够作为构造滤波器的核函数。基于伪球函数的滤波器不仅具有尺度参数，还增加了特征保持参数，能够更好地解决噪音抑制与特征保持之间的矛盾，可用于改进或设计特征检测算法。本课题的主要研究内容包括：(1)伪球的补充定义，主要研究如何选取合适函数与伪球对接使其满足作为滤波器核函数的光滑条件；(2)伪球滤波器，主要研究各阶伪球滤波器的设计与实现；(3)基于伪球的特征检测，主要研究如何利用伪球滤波改进经典特征检测算法以及如何利用伪球自身特性设计特征检测算法。补充定义后的伪球函数可作为高斯函数的一种重要补充，能够广泛用于图像特征检测领域，对于推动图像处理领域相关技术的发展具有重要意义。

中文关键词： 伪球滤波；自适应滤波器；特征检测；特征匹配；

英文摘要： Pseudosphere function in mathematics has no definition at origin and thus it is incompetent as kernel function of filters. Aiming at overcoming the defect of pseudosphere in filtering, in this project pseudosphere is redefined to be qualified as the kernel function of filters like Gaussian function. For the proposed pseudosphere filter, an feature-preserving parameter is introduced besides a scale parameter, that makes a better trade-off between noise suppression and feature preserving. Furthermore, the pseudosphere filter can be used to improve existing algorithms or develop new algorithms in the field of image feature detection. The main contents of this project include: (1)Redefinition of pseudosphere, which mainly reseaches on how to select a function attached with the pseudosphere to make it satisfy the smoothing condition as the kernel function of filters. (2)Pseudosphere filters, which mainly focus on how to construct different types of pseudosphere filters. (3)Pseudosphere based feature detection, which mainly studies on improving the classic algorithms by replacing Gaussian filter with pseudosphere filter and developing new algorithms of greater performance using the characteristics of pseudosphere. Pseudosphere redefined in this project can be considered as an important supplement to Gaussian function

英文关键词： pseudosphere filter；adaptive filter；feature detection；feature matching；