| 直线参数化方式的优化设计 |
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| 引用本文： | 胡占义,杨长江,汪威,马颂德.直线参数化方式的优化设计[J].自动化学报,1998,24(3):307-314. |
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| 作者姓名： | 胡占义 杨长江 汪威 马颂德 |
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| 作者单位： | 1.中国科学院自动化研究所国家模式识别实验室,北京 |
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| 基金项目： | 国家“八六三”高技术发展计划,国家自然科学基金 |
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| 摘 要： | 提出了一条设计直线参数化方式的新标准--递归性标准,它和作者在"Three conditions
of a good line parameterization"文中提出的唯一性、有界性、均匀性三条标准一起构成了评价
直线参数化方式优劣的新框架.根据上述四条标准,证明了不存在同时满足这四条标准的直线参
数化方式t和直线参数化方式c= ax+ (ao-lal)y, a∈-a0 ,a0)不但满足唯一性、有界性和递归性
标准,而且可以获得均匀性标准的最优近似.
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| 关 键 词： | Hough变换 直线参数化方式 唯一性标准 有界性标准 均匀性标准 递归性标准 |
| 收稿时间： | 1996-5-6 |
| 修稿时间： | 1996-05-06 |
The Optimal Design of Line Parameterization |
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| HU ZHANYI,YANG CHANGJ IANG,WANG WEI,MA SONGDE.The Optimal Design of Line Parameterization[J].Acta Automatica Sinica,1998,24(3):307-314. |
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| Authors: | HU ZHANYI YANG CHANGJ IANG WANG WEI MA SONGDE |
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| Affiliation: | 1.National Laboratory of Pattern Recognition,Institute of Automation,Chinese Academy of Sciences,Beijing |
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| Abstract: | In this paper, a new criterion, namely recursiveness,is introduced, which along with
the three criteria previously introduced by Hu Z et al in his paper "Three conditions of a good line
parameterization", (i. e. , uniqueness, boundedness and uniformness ) makes up a new framework
for the design of line parameterizations. By the above four criteria, it is proved that there does not
exist a line parameterization which could satisfy all the four criteria at the same time, and that the
line parameterization, formulated as c= ax+ (ao-lal)y, a∈-a0 ,a0), where a0 is an arbitrary
positive number, can not only satisfy the uniqueness, boundedness, and recursiveness criteria, but
also achieve the best goodness to the uniformness one. |
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| Keywords: | Hough transform line parameterization uniqueness boundedness uniformness recursiveness |
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