Clean up and improve simple graphic object

C'est ce qu'une entreprise en/au(x) United States recherchait pour leur graphic design

I have a graphic object, a simple target. The second is just the first one rotated 45 degrees. Both need to be cleaned up to appear as clean as possible on a smartphone screen and when printed on a black and white printer (no grayscale!) Given the very small sizes, it may be a challenge to make perfect curves, but I need the best that can be done. The originals are 80 pixels square. I need both of them in 40, 80 (original), 88, 102, 106 and 118 pixels. That 's a total of 12 different images. They will probably all need to be hand tuned.

Because there are so many excellent entries in order to help me choose I will add an additional optional version of the graphic. This white but with a thin (thinnest possible) black border around the white. That would include the circle and the lines, inside and out. Please keep in mind that the background is always transparent, so on a white background you would simply see an outline of the graphic.

Again, this is optional… Voir plus