Traditional Culture Encyclopedia - Photography major - In injective transformation, the circle becomes an ellipse and the center of the circle changes. So how to turn an ellipse after projective transformation into a circle when it is known?
In injective transformation, the circle becomes an ellipse and the center of the circle changes. So how to turn an ellipse after projective transformation into a circle when it is known?
The formula of ellipse is
[(x-a)^2]/(r^2)+[(y-b)^2]/(s^2)= 1
Its center is (a, b)
When r = s, it is (x-a) 2+(y-b) 2 = r 2.
This is a circle with radius r and center at (a, b).
Then it is transformed into (x-a')2+(y-b')2 = r'2.
This is a circle with radius r' and center at (a', b').
This is ellipse to circle, and circle to ellipse is the same.
I hope it helps you.
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