Automated Extraction of Regular Curves Using Radon Transform

The algorithm described in this paper utilizes Radon transformation techniques to achieve automated extraction of regular curves including straight lines, ellipses, and parabolas. This approach is not merely a mathematical model but also a practical tool applicable to various real-world scenarios. In image processing applications, the algorithm can be implemented through computational geometry operations where curve detection involves calculating line integrals along different projections. Key functions include parameter space transformation and peak detection algorithms to identify curve parameters. For instance, in image analysis, this algorithm enables automatic detection and extraction of various regular curves from images, assisting users in better understanding and processing relevant image information. The implementation typically involves creating accumulator arrays for parameter voting and applying optimization techniques for curve fitting. Furthermore, the algorithm finds applications in other domains such as engineering and natural sciences, where it facilitates improved data analysis and processing outcomes through its robust curve recognition capabilities.