On the union of Jordan regions and collision-free translational motion amidst polygonal obstacles
Discrete & Computational Geometry
Fat Triangles Determine Linearly Many Holes
SIAM Journal on Computing
Information Processing Letters
The Complexity of the Union of $(\alpha,\beta)$-Covered Objects
SIAM Journal on Computing
Improved Bounds on the Union Complexity of Fat Objects
Discrete & Computational Geometry
Guarding Art Galleries: The Extra Cost for Sculptures Is Linear
SWAT '08 Proceedings of the 11th Scandinavian workshop on Algorithm Theory
Approximating the Fréchet distance for realistic curves in near linear time
Proceedings of the twenty-sixth annual symposium on Computational geometry
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In this Note, we show that the size of the perimeter of (@a,@b)-covered objects is a linear function of the diameter. Specifically, for an (@a,@b)-covered object O, per(O)=