旋转图像的三维相关不变性

三维不变特性的构建是三维目标识别过程中的一个核心步骤,旋转图像作为对三维目标曲面信息的一种很好的表达,满足了旋转和平移变换不变性,却不满足尺度变换不变性。为了构建一种在旋转、平移和尺度变换下的不变特性,首先定义了相关不变性的概念,然后使用Tsallis熵值对旋转图像进行了描述。在相关不变性的框架下,利用Tsallis熵值对旋转图像进行描述,在利用顶点坐标获取旋转图像之前,将所有的顶点进行归一化处理,得到了同时满足旋转、平移和尺度变换的相关不变性。理论证明和仿真实验验证了所构建的三维相关不变性。

Generalized Coherent States for Position-Dependent Effective Mass Systems

A generalized scheme for the construction of coherent states in the context of position-dependent effective mass systems has been presented. This formalism is based on the ladder operators and associated algebra of the system which are obtained using the concepts of supersymmetric quantum mechanics and the property of shape invariance. In order to exemplify the general results and to analyze the properties of the coherent states, several examples have been considered.