基于泰勒展开式与曲率逆向驱动的图像超分辨算法

计算机应用 ›› 2014, Vol. 34 ›› Issue (12): 3570-3575.

基于泰勒展开式与曲率逆向驱动的图像超分辨算法

赵小乐¹,吴亚东¹,张红英²,赵静³

1. 西南科技大学计算机科学与技术学院,四川绵阳 621010；
2. 西南科技大学信息工程学院,四川绵阳 621010
3. 四川大学计算机(软件)学院,成都 610045

收稿日期:2014-06-20 修回日期:2014-08-08 发布日期:2014-12-31 出版日期:2014-12-01
通讯作者: 赵小乐
作者简介:赵小乐(1987-),男,四川南部人,硕士研究生,主要研究方向:数字图像处理；吴亚东(1979-),男,河南周口人,教授,博士,主要研究方向:图像图形处理、信息可视化、人机交互；张红英(1976-),女,四川德阳人,教授,博士,主要研究方向:数字图像处理；赵静(1991-),女,四川隆昌人,硕士研究生,主要研究方向:数字图像处理。
基金资助:
国家自然科学基金资助项目;国家科技支撑计划项目;四川省科技厅青年人才培养计划项目;四川省科技厅重点项目;四川省教育厅重点项目

Reverse curvature-driven super-resolution algorithm based on Taylor formula

ZHAO Xiaole¹,WU Yadong¹,ZHANG Hongying²,ZHAO Jing³

1. School of Computer Science and Technology, Southwest University of Science and Technology, Mianyang Sichuan 621010, China;
2. School of Information Engineering, Southwest University of Science and Technology, Mianyang Sichuan 621010, China;
3. College of Computer (Software), Sichuan University, Chengdu Sichuan 610045, China

Received:2014-06-20 Revised:2014-08-08 Online:2014-12-31 Published:2014-12-01
Contact: ZHAO Xiaole

摘要/Abstract

摘要：

针对传统的插值算法和基于模型的超分辨算法通常会导致图像对比度和清晰度下降等问题,提出了一种基于泰勒展开式与曲率逆向驱动图像超分辨算法。该算法首先采用泰勒公式估计图像灰度值的变化趋势,然后利用等照度线的曲率细化图像边缘特征,并将梯度作为约束条件抑制图像边缘的锯齿与振铃效应。大量实验表明,所提算法在清晰度和信息保留度上比传统算法更具有优势,算法处理结果更符合人眼视觉效果,在泰勒展开式的基础上进行逆向扩散也使该算法的运行效率明显高于传统迭代算法。

Abstract:

To solve the problem of traditional interpolation and model-based methods usually leading to decrease of the contrast and sharpness of images, a reverse curvature-driven Super-Resolution (SR) algorithm based on Taylor formula was proposed. The algorithm used the Taylor formula to estimate the change trend of image intensity, and then the image edge features were detailed by the curvature of isophote. Gradients were used as constraints to inhibit the jagged edges and ringing effects. The experimental resluts show that the proposed algorithm has obvious advantages over the conventional interpolation algorithm and model-based methods in clarity and information retention, and its result is more in line with human visual effects. The proposed algorithm is more effective than traditional iterative algorithms for reverse diffusion based on Taylor expansion is implemented.

中图分类号:

TP391

赵小乐吴亚东张红英赵静. 基于泰勒展开式与曲率逆向驱动的图像超分辨算法[J]. 计算机应用, 2014, 34(12): 3570-3575.

ZHAO Xiaole WU Yadong ZHANG Hongying ZHAO Jing. Reverse curvature-driven super-resolution algorithm based on Taylor formula[J]. Journal of Computer Applications, 2014, 34(12): 3570-3575.

参考文献

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