基于四元同质微分的彩色光流估计coloroptical-电子与信息学报.pdfVIP

第31 卷第11 期 电 子 与 信 息 学 报 Vol.31No.11 2009 年11 月 Journal of Electronics Information Technology Nov..2009 基于四元同质微分的彩色光流估计 裴继红 叶佩玲 谢维信 (深圳大学智能信息研究所 深圳 518060) 摘 要：该文通过将颜色3维矢量表示为一个4元数(quaternion)形式的超复数，将彩色图像序列映射为3维时-空空 间上定义的4元超复变函数，并以颜色常数模型假设为基础，建立了描述彩色图像序列中运动模式的4元光流方程。 为了对超复数4元光流方程中的运动参数进行有效估计，定义了4元同质微分的概念，进而得到了基于4元同质颜色 常数模型的光流方程，并给出了该光流方程的优化求解方法。最后，与已有算法的对比实验验证了该文方法的有效 性。 关键词：图像处理；彩色光流；4元数；超复数；亮度常数模型 中图分类号：TN911.73 文献标识码：A 文章编号：1009-5896(2009)11-2614-06 Color Optical Flow Estimation Based on Quaternion Homogeneity Differential Pei Ji-hong Ye Pei-ling Xie Wei-xin (Intelligent Information Institute, Shenzhen University, Shenzhen 518060, China) Abstract: Due to representing 3-dimensional color vectors as quaternion hypercomplex numbers, a color image sequences is mapped as a quaternion hypercomplex function in 3-dimensional spatial-temporal space. By underlying hypothesis of Color Constant Model (CCM), a quaternion Optical Flow Equation (OFE) which is used to describe motion in color image sequences is developed. In order to solve this quaternion OFE efficiently, a concept of quaternion homogeneity differential is introduced, thus that a new Quaternion Homogeneity CCM (QHCCM) OFE is built. The mathematic form of the QHCCM OFE is similar with the Brightness Constant Model (BCM) OFE. Because it contains not only luminance information but also chrominance information, the QHCCM OPE can capture motions in color video more accurate than that of the BCM-based method. Finally, some compared experiments are given to show the proposed method’s effectiveness.