Abstract
We introduce a novel approach for image edge detection based on pseudo-Boolean polynomials for image patches. We show that patches covering edge regions in the image result in pseudo-Boolean polynomials with higher degrees compared to patches that cover blob regions. The proposed approach is based on reduction of polynomial degree and equivalence properties of penalty-based pseudo-Boolean polynomials.
Abstract (translated)
我们介绍了一种基于伪布尔多项式的图像边缘检测新方法,该方法适用于图像点片。我们证明了在图像中覆盖边缘区域的点片会导致更高的伪布尔多项式度数,而覆盖blob区域的点片则会导致度数较低的伪布尔多项式。该提议的方法基于多项式度数的减少和基于惩罚的伪布尔多项式等价性特性。
URL
https://arxiv.org/abs/2308.15557
