This paper introduces minimal solvers that jointly solve for radial lens undistortion and affine-rectification using local features extracted from the image of coplanar translated and reflected scene texture, which is common in man-made environments. The proposed solvers accommodate different types of local features and sampling strategies, and three of the proposed variants require just one feature correspondence. State-of-the-art techniques from algebraic geometry are used to simplify the formulation of the solvers. The generated solvers are stable, small and fast. Synthetic and real-image experiments show that the proposed solvers have superior robustness to noise compared to the state of the art. The solvers are integrated with an automated system for rectifying imaged scene planes from coplanar repeated texture. Accurate rectifications on challenging imagery taken with narrow to wide field-of-view lenses demonstrate the applicability of the proposed solvers.

中文翻译：

---

用于校正径向扭曲共轭平移的最小求解器

本文介绍了最小求解器，它们使用从共面平移和反射场景纹理的图像中提取的局部特征联合求解径向透镜不失真和仿射校正，这在人造环境中很常见。提议的求解器适应不同类型的局部特征和采样策略，并且提议的三种变体只需要一种特征对应。代数几何中最先进的技术用于简化求解器的公式化。生成的求解器稳定、小巧且快速。合成和真实图像实验表明，与现有技术相比，所提出的求解器对噪声具有出色的鲁棒性。求解器与自动化系统集成，用于从共面重复纹理校正成像场景平面。