文章基本信息

标题：Hyper-renormalization: Non-minimization Approach for Geometric Estimation
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作者：Kenichi Kanatani ; Ali Al-Sharadqah ; Nikolai Chernov 等
期刊名称：Information and Media Technologies
电子版ISSN：1881-0896
出版年度：2015
卷号：10
期号：1
页码：71-87
DOI：10.11185/imt.10.71
出版社：Information and Media Technologies Editorial Board
摘要：The technique of “renormalization” for geometric estimation attracted much attention when it appeared in early 1990s for having higher accuracy than any other then known methods. The key fact is that it directly specifies equations to solve, rather than minimizing some cost function. This paper expounds this “non-minimization approach” in detail and exploits this principle to modify renormalization so that it outperforms the standard reprojection error minimization. Doing a precise error analysis in the most general situation, we derive a formula that maximizes the accuracy of the solution; we call it hyper-renormalization . Applying it to ellipse fitting, fundamental matrix computation, and homography computation, we confirm its accuracy and efficiency for sufficiently small noise. Our emphasis is on the general principle, rather than on individual methods for particular problems.
关键词：geometric estimation;non-minimization approach;error analysis;hyper-renormalization