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For computer software, the easiest way to take a sphere (and/or hemisphere) and flatten it into a flat shape (usually a rectangle) is the equi-rectangular projection (also known as the plate carrée), because it has the simplest formula relating pixels and coordinates: $x = w*\lambda/360 + w/2$ $y = -h*\phi/180 + h/2$ x and y is the pixel point w and h ...

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