A portrait drawing robot using a geometric graph approach: Furthest Neighbour Theta-graphs

Meng Cheng Lau, Jacky Baltes, John R. Anderson, Stéphane Durocher · 2012

We examine the problem of estimating ideal edges joining points in a pixel reduction image for an existing point-to-point portrait drawing humanoid robot, Betty. To solve this line drawing problem we present a modified Theta-graph, called Furthest Neighbour Theta-graph, which we show is computable in O(n(log n)/θ) time, where θ is a fixed angle in the graph's definition. Our results show that the number of edges in the resulting drawing is significantly reduced without degrading the detail of the final output image.

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