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A polynomial-division based correction model for camera calibration: a large comparative study
Sādhanā ( IF 1.6 ) Pub Date : 2020-04-24 , DOI: 10.1007/s12046-020-1304-9
Jaroslav Moravec

These days, algorithms which enable correction of an image aberration such us barrel or pillow distortion can be found in a large number of scientific papers. Some sorts of algorithms have universal character, others can be used only with a certain type of optical systems. This paper compares several types of methods which were designed to remove an image distortion. The methods which are based on so called Polynomial Division Model (PDM) are only considered. On the grounds of extensive experimental results, a method which uses the polynomial division model was proposed. The method brought significantly better results in the correction process. It does not matter if the images are loaded with a pillow or a barrel distortion. The image correction calculation procedure is from a general point of view, very time demanding. The calculation with use of the PDM is fast, and does not need a large number of members of the correction polynomial. This rule is also valid for an image which is loaded with large distortion e.g., for Fish-Eye object-lenses - a newly proposed PDM preserves all good features of previous algorithms which are based on the PDM and extends them. All the results which are recorded in the experimental section show that the PDM is superior and more effective in comparison to other tested methods.



中文翻译:

基于多项式除法的相机校准校正模型:大型对比研究

如今,在许多科学论文中都可以找到能够校正像差(例如桶形或枕形畸变)的算法。某些类型的算法具有通用性,其他类型的算法只能与某种类型的光学系统一起使用。本文比较了旨在消除图像失真的几种方法。仅考虑基于所谓的多项式除法模型(PDM)的方法。基于广泛的实验结果,提出了一种使用多项式除法模型的方法。该方法在校正过程中带来了明显更好的结果。图像是否带有枕头或镜筒失真都没关系。从一般的角度来看,图像校正计算过程非常耗时。使用PDM的计算速度很快,并且不需要大量的校正多项式成员。该规则对于加载了大失真的图像也有效,例如对于鱼眼物镜-新提出的PDM保留了基于PDM的先前算法的所有良好功能,并将其扩展。实验部分记录的所有结果表明,与其他测试方法相比,PDM更为出色且更有效。

更新日期:2020-04-24
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