Power diagram

The power of a point P outside of a given circle

The radical axis of two intersecting circles. The power diagram of the two circles is the partition of the plane into two halfplanes formed by this line.

In computational geometry, a power diagram is a partition of the Euclidean plane into polygonal cells defined from a set of circles, where the cell for a given circle C consists of all the points for which the power distance to C is smaller than the power distance to the other circles. It is a form of generalized Voronoi diagram, and coincides with the Voronoi diagram of the circle centers in the case that all the circles have equal radii.

单词	Power diagram
释义	Power diagram 英语百科 Power diagram In computational geometry, a power diagram is a partition of the Euclidean plane into polygonal cells defined from a set of circles, where the cell for a given circle C consists of all the points for which the power distance to C is smaller than the power distance to the other circles. It is a form of generalized Voronoi diagram, and coincides with the Voronoi diagram of the circle centers in the case that all the circles have equal radii.
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