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CindyGL: Authoring GPU-Based Interactive Mathematical Content

Part of the Lecture Notes in Computer Science book series (LNTCS,volume 9725)

Abstract

CindyJS is a framework for creating interactive (mathematical) content for the web. The plugin CindyGL extends this framework and leverages WebGL for parallelized computations.

CindyGL provides access to the GPU fragment shader for CindyJS. Among other tasks, the plugin CindyGL is used for real-time colorplots.

We introduce the main principles, concepts and application of CindyGL and describe the encountered technical challenges. Special focus is put on a novel visualization scheme that uses feedback loops, which were among the motivating forces of developing CindyGL. They can be used for a wide range of applications. Some of them are numerical simulations, cellular automatons and fractal generation, which are described here.

Keywords

  • Interactive visualization
  • Web technologies
  • WebGL
  • Transpiler
  • CindyScript
  • GLSL
  • OpenGL
  • Shader based colorplots
  • Feedback loops on GPU
  • Fractals
  • Limit sets
  • IFS
  • Kleinian groups

J. Richter-Gebert—Supported by the DFG Collaborative Research Center TRR 109, “Discretization in Geometry and Dynamics”.

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Correspondence to Aaron Montag .

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Montag, A., Richter-Gebert, J. (2016). CindyGL: Authoring GPU-Based Interactive Mathematical Content. In: Greuel, GM., Koch, T., Paule, P., Sommese, A. (eds) Mathematical Software – ICMS 2016. ICMS 2016. Lecture Notes in Computer Science(), vol 9725. Springer, Cham. https://doi.org/10.1007/978-3-319-42432-3_44

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  • DOI: https://doi.org/10.1007/978-3-319-42432-3_44

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-42431-6

  • Online ISBN: 978-3-319-42432-3

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