14277

GPU-based visualization of domain-coloured algebraic Riemann surfaces

Stefan Kranich
Zentrum Mathematik (M10), Technische Universitat Munchen, 85747 Garching, Germany
arXiv:1507.04571 [cs.GR], (16 Jul 2015)

@article{kranich2015gpubased,

   title={GPU-based visualization of domain-coloured algebraic Riemann surfaces},

   author={Kranich, Stefan},

   year={2015},

   month={jul},

   archivePrefix={"arXiv"},

   primaryClass={cs.GR}

}

Download Download (PDF)   View View   Source Source   

842

views

We examine an algorithm for the visualization of domain-coloured Riemann surfaces of plane algebraic curves. The approach faithfully reproduces the topology of the surface and also preserves some of its geometry. We discuss how the algorithm can be implemented efficiently in OpenGL with geometry shaders, and (less efficiently) even in WebGL with multiple render targets and floating point textures. As examples, we look at the complex square root and the folium of Descartes. For the folium of Descartes, the visualization reveals features of the algebraic curve which are not obvious from its equation.
No votes yet.
Please wait...

* * *

* * *

Featured events

2018
November
27-30
Hida Takayama, Japan

The Third International Workshop on GPU Computing and AI (GCA), 2018

2018
September
19-21
Nagoya University, Japan

The 5th International Conference on Power and Energy Systems Engineering (CPESE), 2018

2018
September
22-24
MediaCityUK, Salford Quays, Greater Manchester, England

The 10th International Conference on Information Management and Engineering (ICIME), 2018

2018
August
21-23
No. 1037, Luoyu Road, Hongshan District, Wuhan, China

The 4th International Conference on Control Science and Systems Engineering (ICCSSE), 2018

2018
October
29-31
Nanyang Executive Centre in Nanyang Technological University, Singapore

The 2018 International Conference on Cloud Computing and Internet of Things (CCIOT’18), 2018

HGPU group © 2010-2018 hgpu.org

All rights belong to the respective authors

Contact us: