东南大学学报（自然科学版）2013，Vol.43Issue(4)：717-723,7.DOI:10.3969/j.issn.1001-0505.2013.04.009
基于四元数表示的彩色图像泊松噪声去噪
Poisson noise removal for color images using quaternion representation
摘要
Abstract
In order to process color images holistically,a quaternion weighted mean filter for Poisson noise removal in color images is presented.First,a color image is represented by a pure quaternion matrix by using the quaternion representation of color images.After that,the quaternion mean square error (QMSE) between the restored color image and the original one is defined based on the algebra of quaternions.Then,combining with the essential idea of the non-local means filter,the optimal weights for minimizing the tight bound of QMSE are obtained by using the method of Lagrange multipliers.Finally,the weighted average of the observed quaternion representation is obtained,and a quaternion optimal weights non-local means filter (QOWNLMF) for Poisson noise removal for color image is constructed by using the optimal weights.The comparative experiment results of commonly used standard images demonstrate that the proposed filter performs better than the existing quaternion filters and the conventional vector-based filter and component-wise filter.关键词
彩色图像去噪/泊松噪声/四元数/非局部均值滤波器/最优权值滤波器Key words
color image denoising/Poisson noise/quaternion/non-local means filter/optimal weights filter分类
信息技术与安全科学引用本文复制引用
陈北京,戴慧,刘全升,舒华忠..基于四元数表示的彩色图像泊松噪声去噪[J].东南大学学报（自然科学版）,2013,43(4):717-723,7.基金项目
国家重点基础研究发展计划(973计划)资助项目(2011CB707904)、国家自然科学基金资助项目(61073138,61103141.61105007,61173141,61271312,61272421)、教育部博士点基金资助项目(20110092110023)、江苏省高校自然科学研究基金资助项目(13KJB520015)、江苏省高校优势学科建设工程资助项目、南京信息工程大学科研基金资助项目(20110430). （973计划）
