For example, we show that any polygon with minimal interior angle θ has a triangulation with all angles in the interval I = [θ, 90°–min(36°, θ)/2], and for θ ≤ 36° both bounds are best possible.
Jan 5, 2022
For any simple polygon P we compute the optimal upper and lower angle bounds for triangulating P with. Steiner points, and show that these bounds can be ...
Minimal number of triangles needed to get optimal angles? NP hard? • Compute optimal angle bound for conforming triangulation of a PSLG. • If a PSLG has ...
For any simple polygon P we compute the optimal upper and lower angle bounds for triangulating P with. Steiner points, and show that these bounds can be ...
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We show that any simple planar n-gon can be meshed in linear time by O ( n ) O(n) quadrilaterals with all new angles bounded between 60 60 and 120 120 degrees.
Duration: 56:23
Posted: Apr 27, 2023
Posted: Apr 27, 2023
We present a polynomial-time algorithm for this problem when the optimization criterion is maximization of the minimum angle. Furthermore, we also provide a ...
This paper shows that for any plane geometric graph. ~ with n vertices, there exists a triangulation. 'T conforms to G, i.e. each edge of G-is the union.
Our angle bound is the best possible for polynomial-size triangulations. Our work with John R. Gilbert6 shows that any smaller fixed bound on the largest angle.
... bounded by circles and lines within a given star- shaped polygon H := H(σ) that maximizes the smallest interior angle in the star-triangulation of H from p.