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smoothed lines

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ive been trying to find a way to take a set of points and draw a "smoothed" line that passes through all the points. i tried bezier curves and they do a good job at smoothing the line, but the line doesn't pass through the points,it passes between them. so is there a simple algorithm i can use so that the line will actually pass though all of the points but at the same time make it so that the line is smooth and not rigid?

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