【摘要】 基于一类不仅含有连续函数,还含有间断函数的正交完备函数系——V-系统,提出相应的V-矩函数,并将之应用到图像分类中。V-系统中基函数的间断特性,使得V-矩函数在描述含有多个闭合边界的形状时有特别的优势,这种优势表现为对这类复杂形状的特征提取更加准确。因此用V-矩可以得到一种图像分类的有效算法。在几个通用数据库中的图像分类实验表明,本文算法较Zernike矩、不变矩和几何中心矩有更高的准确率,对噪声不敏感,特别在含有多个闭合边界的复杂形状分类问题中,本文方法优势更为显著。更多还原

【Abstract】 The V-system is a complete orthogonal function system which is composed of both continuous function and functions with discontinuities. In this paper, we propose a new kind of V-moment functions based on the V-system, and apply them on image classification. Due to the discontinuity of the basis functions of the V-system, the V-moment functions have distinct advantages in describing the shapes with a plurality of closed boundaries. When they are applied on feature extraction for complex shapes, the extracted features are fairly accurate, thus effective image classification technique can be obtained using the V-moment functions. Experiment of image classification is conducted on several benchmark databases. The results show that the proposed method has higher accuracy than Zernike moments, invariant moments and geometric center moments, and it is not sensitive to noise. Especially, the proposed method presents obvious advantage when it is applied to classify complex shapes with several closed boundaries.更多还原