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Allocator.Persistent) // If true constrains edges defined in the Triangulator.Input.ConstraintEdges ConstrainEdges = false; // If true and provided Triangulator.Input is not valid, it will throw an exception. + // The error can be catch by using the `Triangulator.Output.Status`. ValidateInput = true; // Type of preprocessing algorithm, see the section below for more details. Preprocessor = Triangulator.Preprocessor.None; @@ -387,6 +388,11 @@ Below, you'll find a performance comparison (with Burst enabled) between `v2.0.0 ![Delaunay Benchmark](Documentation~/benchmark-delaunay.png) +Below, you can find a benchmark for constrained triangulation for both `v2.1` and `v2.2`. The test specimen consists of a 100×100 grid with additional `#constraints`-points distributed in a circle at the center of the grid. In some cases of `v2.1`, the algorithm gets stuck. Reference timings for non-constrained triangulation are marked with a gray line. +In the figure below, you can also see example test cases: red represents resulting triangles, and blue represents constrained edges. + +![Constraint Benchmark](Documentation~/benchmark-constraint.png) + Furthermore, we present a performance comparison (with Burst enabled) between `v1.0.0` and `v2.0.0` for the refinement task. ![Refinement Benchmark](Documentation~/benchmark-refinement.png) @@ -399,10 +405,11 @@ Furthermore, we present a performance comparison (with Burst enabled) between `v ## Roadmap v3.0 - [X] ~~Adapt Delaunay triangluation to `halfedges` approach.~~ -- [ ] Remove super-triangle approach. -- [ ] Adapt constraints and refinement algorithm to `halfedges` approach. -- [ ] Improve performance of the constraint algorithm. +- [X] ~~Adapt constrained triangulation to `halfedges` approach.~~ +- [X] ~~Improve performance of the constraint algorithm.~~ +- [ ] Adapt refinement algorithm to `halfedges` approach. - [ ] Improve performance of the refinement algorithm. +- [ ] Remove super-triangle approach. ## Bibliography

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