We introduce a method to extract curve segments in parametric form from the image directly using the Laplacian of Gaussian (LoG) filter response. Our segmentation gives convex and concave curves. To do so, we form curve support regions by grouping pixels of the thresholded filter response. Then, we model each support region boundary by Fourier series and extract the corresponding parametric curve segment.

翻译：本文提出一种直接从图像中提取参数化曲线段的方法，该方法利用拉普拉斯高斯滤波器的响应。我们的分割方法可生成凸曲线和凹曲线。为实现这一目标，我们通过对阈值化滤波器响应的像素进行分组来构建曲线支持区域。随后，我们采用傅里叶级数对每个支持区域的边界进行建模，并提取相应的参数化曲线段。