On idea is to place a "star shade" between the space telescope and the star. The shade will need to be half the size of a football field and be placed at least 50,000 kilometers away from the telescope.
But the problem with a normal-shaped star shade is that the light waves diffract around the screen, similarly to water bending around a rock, therefore destroying any chance of seeing planets.
A solution, as first suggested by telescope pioneer Lyman Spitzer, was to soften the edges and turn the shade into a 'flower petals' shape.
The plan is that if those edges are made perfectly, the light can be controlled to make a shadow – allowing us to see the planets.