Hypercomplex Singular Value Decomposition Approach to Objectively Assessing Color Image Quality

YE Jia; ZHANG Jian-qiu; HU Bo

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Hypercomplex Singular Value Decomposition Approach to Objectively Assessing Color Image Quality

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- Hypercomplex Singular Value Decomposition Approach to Objectively Assessing Color Image Quality
- Acta Electronica Sinica Vol. 35, Issue 1, Pages: 28-33(2007)
- 作者机构：
  
  复旦大学电子工程系,上海,200433
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP391
- Published：2007
- 稿件说明：
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YE Jia, ZHANG Jian-qiu, HU Bo. Hypercomplex Singular Value Decomposition Approach to Objectively Assessing Color Image Quality[J]. Acta Electronica Sinica, 2007, 35(1): 28-33.
DOI：

YE Jia, ZHANG Jian-qiu, HU Bo. Hypercomplex Singular Value Decomposition Approach to Objectively Assessing Color Image Quality[J]. Acta Electronica Sinica, 2007, 35(1): 28-33. DOI：

摘要

本文利用超复数直接对彩色图像建模

保存了彩色图像完整的信息;基于超复数奇异值分解(也称四元数奇异值分解QSVD)提出一种全新的图形化与数值化相结合的彩色图像质量评估测度

不仅能判断图像失真等级

还能判断不同的失真类型.测试结果表明

本文提出的算法比传统的MSE、PSNR以及MSSIM等算法性能更优.

Abstract

We employ hypercomplex to describe a color image directly so that all information of the color image can be modeled.Based on hypercomplex singular value decomposition also called quaternion singular value decomposition (QSVD)

we present a novel color image quality measure that can be used as a graphical or a scalar measure to predict the distortion introduced by a wide range of noise sources.It reliably measures the distortion not only within a distortion type at different distortion levels

but also across different distortion types.We compare its performance with MSE

PSNR and MSSIM

the test results show that QSVD performs better.

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