Midpoint Circle Drawing

Rasterize circles using 8-way symmetry and the integer decision parameter.

8-Way Symmetry

A circle is symmetric across 8 octants. By computing pixels for a single octant ($x = 0$ to $x = y$), we can mirror the coordinates to draw the complete circle: $$(x, y), (-x, y), (x, -y), (-x, -y), (y, x), (-y, x), (y, -x), (-y, -x)$$

Decision Parameter

Initial p_0: 1 - r
If p_k < 0: p_{k+1} = p_k + 2x + 3
If p_k ≥ 0: p_{k+1} = p_k + 2(x - y) + 5

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