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三次Bézier曲线与圆弧有重合点时的Hausdorff距离 被引量:1

Hausdorff Distance between Cubic Bézier Curve and Circular Arc with a Coincidence Point
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摘要 Hausdorff距离常用来度量两条曲线的匹配程度,因此,它可以用来度量三次Bézier曲线与圆弧之间的逼近程度。论文给出了三次Bézier曲线与圆弧在中点重合时,它们之间的Hausdorff距离表达式;以及三次Bézier曲线与圆弧在一般情况重合(除端点外)时的Hausdorff距离表达式。通过这些表达式可以直接得出三次Bézier曲线与圆弧之间的Hausdorff距离。 Hausdorff distance is often used to measure the distance between two curves. It can be used to measure the distance between cubic Bezier curve and circular arc. In the paper, the closed form of the Hausdorff distance between the circular arc and the cubic Bezier curve is given when they have a coincidence point.
出处 《图学学报》 CSCD 北大核心 2013年第2期72-75,共4页 Journal of Graphics
关键词 HAUSDORFF距离 圆弧 BÉZIER曲线 Hausdorff distance Circular arc Bezier curve
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