An Interactive Tour Of Voronoi Diagrams On The Gpu

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An interactive tour of Voronoi diagrams on the GPU

https://www.sonycsl.co.jp/person/nielsen/PT/ShaderX6InteractiveTourVoronoi/

The Voronoi diagrams by minimization diagrams (2D & 3D rendering with the up-lifting transform), The Delaunay triangulations as dual of Voronoi diagrams (bisectors & geodesics, orthogonality). We mention discretization errors incurred by GPU per-pixel fragment shading, common programming pitfalls and ways to circumvent them to improve stability.

ShaderX Programming

http://www.shaderx6.com/TOC.html

9.1 An Interactive Tour of Voronoi Diagrams on the GPU by Frank Nielsen 9.2 AMD DirectX 10 Performance Tools and Techniques by Jonathan Zarge, Seth Sowerby and Guennadi Riguer 9.3 Real-Time Audio Processing on the GPU by Fernando Trebien and Manuel M. Oliveira 9.4 n-Body Simulations on the GPU by Jesse Laeuchli

Voronoi on the GPU Raoul Harel

https://www.rharel.com/projects/voronoi-on-the-gpu

Higher-order voronoi diagrams. Fortune's algorithm: Generate a Voronoi diagram explicitly. References. Hoff III, Kenneth E., et al. "Fast Computation of Generalized Voronoi Diagrams Using Graphics Hardware". Proceedings of the 26th annual conference on Computer graphics and interactive techniques. ACM Press/Addison-Wesley Publishing Co., 1999.

Meshless voronoi on the GPU ACM Transactions on Graphics

https://dl.acm.org/doi/10.1145/3272127.3275092

Jump Flooding in GPU with Applications to Voronoi Diagram and Distance Transform. In Proceedings of the 2006 Symposium on Interactive 3D Graphics and Games (I3D '06). ACM, New York, NY, USA, 109- …Author: RayNicolas, SokolovDmitry, LefebvreSylvain, LévyBruno

GPGPU and Many-core Computing - GAMMA UNC

http://gamma.cs.unc.edu/research/hardware/

Interactive, continuous collision detection for avatars in virtual environments; Collision Streams: Fast GPU-based Collision Detection for Deformable Models ; Computational Geometry. Fast proximity computation among deformable models using discrete Voronoi diagrams; Fast 3D distance field and Voronoi diagram computation using graphics processors

Generalized Voronoi Diagram Computation on GPU

https://personal.utdallas.edu/~xguo/ISVD11.pdf

GPU-based algorithm for Voronoi diagram computation. It is the first known GPU implementation of Delaunay triangulation for 2D domains [2]. In this method, each site is labeled with an integer, called the ID of the site. The 2D domain Ω is discretized and represented by a 2D texture

Interactive Voronoi Diagram Generator with WebGL - Alex Beutel

http://alexbeutel.com/webgl/voronoi.html

Click and keep mouse down to temporarily add a point. Drag your mouse around to watch how the new input point influences the Voronoi diagram. On release, the new point will be added. To make a query point, such that the Voronoi diagram will display the stolen area from the nearest neighbors, check the NNI query point box before adding the point.

GitHub - ryankaplan/gpu-voronoi: Draw Voronoi Diagrams on ...

https://github.com/ryankaplan/gpu-voronoi

Voronoi Diagrams on the GPU. This is a GPU implementation of the Jump Flooding Algorithm to generate Voronoi diagrams. I wrote a blog post on how it works - you can find it here.Or you can skip right to the paper that it's based on.

GitHub - orzzzjq/gCentroidal-Voronoi-Tessellation: Compute ...

https://github.com/orzzzjq/gCentroidal-Voronoi-Tessellation

We propose a novel algorithm to compute centroidal Voronoi tessellation using the GPU. It is based on the iterative approach of Lloyd’s method while having good considerations to address the two major challenges of achieving fast convergence with few iterations, and at the same time achieving fast computation within each iteration.

Voronoi diagram Computer Graphics Fandom

https://graphics.fandom.com/wiki/Voronoi_diagram

In mathematics, a Voronoi diagram, named after Georgy Voronoi, also called a Voronoi tessellation, a Voronoi decomposition, or a Dirichlet tessellation (after Lejeune Dirichlet), is special kind of decomposition of a metric space determined by distances to a specified discrete set of objects in the space, e.g., by a discrete set of points. Contents[show] Definition For any (topologically ...

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