斜采样的倾斜角度对采样产生混叠的影响及其与分辨率的关系

doi:10.13229/j.cnki.jdxbgxb201503039

吉林大学学报(工学版) ›› 2015, Vol. 45 ›› Issue (3): 953-960.doi: 10.13229/j.cnki.jdxbgxb201503039

斜采样的倾斜角度对采样产生混叠的影响及其与分辨率的关系

王京萌^{1, 2, 3, 4}, 张爱武^{1, 2, 3, 4}, 赵宁宁^{1, 2, 3, 4}, 孟宪刚^{1, 2, 3, 4}

1.首都师范大学资源环境与旅游学院,北京 100048;
2.三维信息获取与应用教育部重点实验室,北京 100048;
3.资源环境与地理信息系统北京市重点实验室,北京 100048;
4.城市环境过程与数字模拟国家重点实验室培育基地,北京 100048

收稿日期:2013-09-23 出版日期:2015-05-01 发布日期:2015-05-01
通讯作者: 张爱武(1972-),女,教授,博士生导师.研究方向:图像处理与模式识别.E-mail:zhangaw163@163.com E-mail:bj_wjm1018@163.com
作者简介:王京萌(1986-),女,博士研究生.研究方向:图像超分辨率重建.
基金资助:
“十二五”国家科技支撑计划项目(2012BAH31B01); 北京市自然科学基金重点项目(KZ201310028035)

Influence of tilting angle on tilting sampling aliasing and relationship between aliasing and resolution

WANG Jing-meng^{1, 2, 3, 4}, ZHANG Ai-wu^{1, 2, 3, 4}, ZHAO Ning-ning^{1, 2, 3, 4}, MENG Xian-gang^{1, 2, 3, 4}

1.College of Resources Environment and Tourism,Capital Normal University,Beijing 100048,China;
2.Laboratory of 3D Information Acquisition and Application,MOST,Beijing 100048,China;
3.Beijing Municipal Key Laboratory of Resources Environment and GIS, Beijing 100048,China;
4.State Key Laboratory Incubation Base of Urban Environmental Processes and Digital Simulation, Beijing 100048,China

Received:2013-09-23 Online:2015-05-01 Published:2015-05-01

摘要/Abstract

摘要： 针对斜采样倾斜角度的选取和混叠与分辨率关系不明确的问题,从采样理论分析了混叠的成因,设计了衡量混叠程度的混叠指数AI,引入空间有效分辨率分析了倾斜角度与混叠、有效分辨率的关系。经过分析得出:相同条件下斜采样比常规采样混叠小的倾斜角度为57°~89°,最小混叠所对应的倾斜角度为78°;斜采样比常规采样空间有效分辨率高的倾斜角度为58°~87°,最大空间有效分辨率所对应的倾斜角度为75°。最后使用曲线拟合的方法得出混叠与空间有效分辨率的关系为幂指数关系。明确了倾斜角度与混叠及分辨率之间的关系,从而指导实际应用以满足特定混叠和分辨率的需求。

关键词: 摄影测量与遥感技术, 混叠指数, 最佳倒易晶胞, 斜模式采样, 空间有效分辨率

Abstract: In tilting sampling the relationships between the selection of tilting angle and the spectral aliasing as well as the resolution are ambiguous. To overcome this problem, the source of the spatial aliasing is analyzed based on sampling theory, and an Aliasing Index (AI) is designed, which measures the extent of aliasing. In addition, the effective spatial resolution is introduced to analyze the relationships among the titling angle, spectral aliasing and effective resolution. Results show that, under the same condition, within the tilting angle range from 57° to 89°, the aliasing and spatial effective resolution in tilting sampling are higher than that in normal sampling; the tilting angle corresponding to the minimum aliasing is 78°, and that corresponding to the maximum spatial effective resolution is 75°. Curve fitting shows that the spectral aliasing and the effective spatial resolution are power-law correlated. It is helpful to understand the relationship between aliasing and resolution with various titling angles for practical application to meet specific need.

Key words: photogrammetry and remote sensing, aliasing index, optimal reciprocal cell, tilting sampling, spatial effective resolution

中图分类号:

TP751.1

王京萌, 张爱武, 赵宁宁, 孟宪刚. 斜采样的倾斜角度对采样产生混叠的影响及其与分辨率的关系[J]. 吉林大学学报(工学版), 2015, 45(3): 953-960.

WANG Jing-meng, ZHANG Ai-wu, ZHAO Ning-ning, MENG Xian-gang. Influence of tilting angle on tilting sampling aliasing and relationship between aliasing and resolution[J]. 吉林大学学报(工学版), 2015, 45(3): 953-960.

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斜采样的倾斜角度对采样产生混叠的影响及其与分辨率的关系

Influence of tilting angle on tilting sampling aliasing and relationship between aliasing and resolution

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