A Regularized Multiscale Edge Detection Scheme Using Cubic B-spline

Edge detection attempts to reconstruct 3-D physical edges from a 2-D image. It is therefore an ill-posed problem, and a regularization procedure is required to convert it into a well-posed problem. This procedure introduces a regularization parameter for adjusting the extent of the regularization eeect: the larger the value of is, the stronger the regularization eeect. Therefore, could be interpreted as a scale of the regularization eeect in an image. In this paper, an scale space is used to provide the basis for a multiscale edge detection scheme which employs the regularized cubic B-spline tting.