Subakan Ozlem N, Vemuri Baba C
Energy Minimization Methods Comput Vis Pattern Recognit. 2009 Jan 1;5681(2009):401-414. doi: 10.1007/978-3-642-03641-5_30.
In this paper, we present a feature/detail preserving color image segmentation framework using Hamiltonian quaternions. First, we introduce a novel Quaternionic Gabor Filter (QGF) which can combine the color channels and the orientations in the image plane. Using the QGFs, we extract the local orientation information in the color images. Second, in order to model this derived orientation information, we propose a continuous mixture of appropriate hypercomplex exponential basis functions. We derive a closed form solution for this continuous mixture model. This analytic solution is in the form of a spatially varying kernel which, when convolved with the signed distance function of an evolving contour (placed in the color image), yields a detail preserving segmentation.
在本文中，我们提出了一种使用哈密顿四元数的保留特征/细节的彩色图像分割框架。首先，我们引入了一种新颖的四元数伽柏滤波器（QGF），它可以将彩色通道和图像平面中的方向相结合。利用QGF，我们提取彩色图像中的局部方向信息。其次，为了对这种导出的方向信息进行建模，我们提出了一种由适当的超复数指数基函数组成的连续混合模型。我们推导出了这个连续混合模型的封闭形式解。这个解析解是一个空间变化核的形式，当它与演化轮廓（放置在彩色图像中）的符号距离函数进行卷积时，会产生一个保留细节的分割结果。
