PMID: 16519345Mar 8, 2006Paper

Line detection in images through regularized Hough transform

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
Nitin Aggarwal, William Clem Karl

Abstract

The problem of determining the location and orientation of straight lines in images is of great importance in the fields of computer vision and image processing. Traditionally the Hough transform, (a special case of the Radon transform) has been widely used to solve this problem for binary images. In this paper, we pose the problem of detecting straight lines in gray-scale images as an inverse problem. Our formulation is based on use of the inverse Radon operator, which relates the parameters determining the location and orientation of the lines in the image to the noisy input image. The advantage of this formulation is that we can then approach the problem of line detection within a regularization framework and enhance the performance of the Hough-based line detector through the incorporation of prior information in the form of regularization. We discuss the type of regularizers that are useful for this problem and derive efficient computational schemes to solve the resulting optimization problems enabling their use in large applications. Finally, we show how our new approach can be alternatively viewed as one of finding an optimal representation of the noisy image in terms of elements chosen from a dictionary of lines. This i...Continue Reading

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Citations

Apr 6, 2012·PloS One·Shengzhi DuZengqiang Chen
Aug 21, 2013·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Zongxiao ZhuZhong Chen
Jun 23, 2009·IEEE Transactions on Pattern Analysis and Machine Intelligence·Rozenn Dahyot
Apr 27, 2011·IEEE Transactions on Bio-medical Engineering·Heng Zhao, Li-Qun Zhang
May 25, 2011·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Shengzhi DuZengqiang Chen
Nov 26, 2015·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Cesar CarranzaMarios Pattichis
Jul 7, 2017·IEEE Transactions on Medical Imaging·Nantheera AnantrasirichaiAlin Achim
Jul 13, 2017·Journal of X-ray Science and Technology·Ti BaiXuanqin Mou
Jan 13, 2021·Animals : an Open Access Journal From MDPI·Yangyang GuoLilong Chai

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