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Rectification of QR-code images using the parametric cylindrical surface model

机译：使用参数圆柱表面模型校正QR码图像

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In recent years, QR codes have found a wide range of applications in business and industry. Moreover, their popularity and function are still growing (fast). Therefore, the processing of the images of QR codes is an important task. In this paper, we try to solve a problem encountered in QR decoding when the QR code is printed near the binding edge inside a book or on the surface of a cylindrical container. When a picture is taken on such a QR code, the picture is no longer in a rectangular shape, which is supposedly the “right” shape that any QR code should take, due to warping from the image capturing mechanism by the camera. We refer to such warping as cylinder-to-screen (C2S) warping. This warping translates into serious distortion of the original QR-code image (also referred to as QR image, for short) and thus causes failure in its decoding. In this paper, a mathematical model called the parametric cylindrical surface model (PCSM) is proposed. Then, based on it, a scheme is proposed to rectify C2S-warped QR images. Experiments show that the proposed scheme is effective, in the sense that many failed QR decodings become successful after the rectification.
机译：近年来，QR码已在商业和工业中找到了广泛的应用。而且，它们的流行度和功能仍在增长（快速）。因此，QR码图像的处理是一项重要的任务。在本文中，我们试图解决在将QR码打印在书本的装订边附近或圆柱容器的表面上时QR解码遇到的问题。当在此类QR码上拍摄图片时，由于相机从图像捕获机制产生的扭曲，图片不再呈矩形，这应该是任何QR码都应采用的“正确”形状。我们将这种翘曲称为“圆柱对屏幕（C2S）翘曲”。这种变形会转化为原始QR码图像（简称为QR图像）的严重失真，从而导致其解码失败。本文提出了一种数学模型，称为参数圆柱曲面模型（PCSM）。然后，基于此提出了一种校正C2S变形的QR图像的方案。实验表明，在纠正后许多失败的QR解码变得成功的意义上，该方案是有效的。

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