A new algorithm is proposed for polynomial or rational approximation of the planar\noffset curve. The best rational Chebyshev approximation could be regarded as a kind of geometric\napproximation along the fixed direction. Based on this idea, we developed a wholly new offset\napproximation method by changing the fixed direction to the normal directions. The error vectors\nfollow the direction of normal, and thus could reflect the approximate performance more properly.\nThe approximation is completely independent of the original curve parameterization, and thus\ncould ensure the stability of the approximation result. Experimental results show that the proposed\nalgorithm is reasonable and effective.
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