Vallés José J, García-Martínez Pascuala, Ferreira Carlos
Departament d'Optica, Universitat de València, c/o Dr. Moliner, 50 46100-Burjassot, València, Spain.
Appl Opt. 2008 Feb 1;47(4):A43-51. doi: 10.1364/ao.47.000a43.
We define a nonlinear filtering based on correlations on unit spheres to obtain both rotation- and scale-invariant three-dimensional (3D) object detection. Tridimensionality is expressed in terms of range images. The phase Fourier transform (PhFT) of a range image provides information about the orientations of the 3D object surfaces. When the object is sequentially rotated, the amplitudes of the different PhFTs form a unit radius sphere. On the other hand, a scale change is equivalent to a multiplication of the amplitude of the PhFT by a constant factor. The effect of both rotation and scale changes for 3D objects means a change in the intensity of the unit radius sphere. We define a 3D filtering based on nonlinear operations between spherical correlations to achieve both scale- and rotation-invariant 3D object recognition.
我们基于单位球面上的相关性定义一种非线性滤波，以实现旋转和尺度不变的三维（3D）目标检测。三维性通过距离图像来表示。距离图像的相位傅里叶变换（PhFT）提供了关于3D物体表面方向的信息。当物体依次旋转时，不同PhFT的幅度形成一个单位半径的球体。另一方面，尺度变化等同于将PhFT的幅度乘以一个常数因子。3D物体的旋转和尺度变化的影响意味着单位半径球体强度的变化。我们基于球面相关性之间的非线性运算定义一种3D滤波，以实现尺度和旋转不变的3D目标识别。
