# The sifting property of the Dirac distribution

2020年1月20日 2311点热度 0人点赞 0条评论

The ideal impulse in the image plane is defined using the Dirac distribution $$\delta(x,y)$$

\int_{-\infty}^{\infty}{\int_{-\infty}^{\infty}{\delta(x,y)\text{d}x\text{d}y=1} }

for \ all \ x,y\neq0, \delta(x,y)=0

It provides the value of the function $$f(x, y)$$ at the point$$(\lambda, \mu)$$.

\int_{-\infty}^{\infty}{\int_{-\infty}^{\infty}{f(x,y)\delta(x-\lambda,y-\mu)\text{d}x\text{d}y=f(\lambda,\mu)} }

Dong Wang

Master student of computer science at Uppsala University in Sweden. My primary research interests are deep learning, computer vision, federated learning and internet-of-things.