论文标题
多组分形状的仿射力矩不变
An Affine moment invariant for multi-component shapes
论文作者
论文摘要
我们引入了基于图像的算法工具，用于在此处分析多组分形状。由于多组分形状的一般概念，我们的方法可以应用于广泛应用的分析，在这些应用中，根据它们的形状分析了真实对象 - 即在相应的黑白图像上。该方法将一个数字分配给形状，此处称为多组分形状测量。对于仿射转化，此数字/度量是不变的，是根据本文开发的理论框架建立的。另外，该方法易于实现，并且很健壮（例如，相对于噪声）。我们提供了两个与空中图像分析和星系图像分析相关的小型但说明性的例子。另外，我们提供了一些综合示例，以更好地了解量度行为。
We introduce an image based algorithmic tool for analyzing multi-component shapes here. Due to the generic concept of multi-component shapes, our method can be applied to the analysis of a wide spectrum of applications where real objects are analyzed based on their shapes - i.e. on their corresponded black and white images. The method allocates a number to a shape, herein called a multi-component shapes measure. This number/measure is invariant with respect to affine transformations and is established based on the theoretical frame developed in this paper. In addition, the method is easy to implement and is robust (e.g. with respect to noise). We provide two small but illustrative examples related to aerial image analysis and galaxy image analysis. Also, we provide some synthetic examples for a better understanding of the measure behavior.
