Immersive Visualization of Flat Surfaces Using Ray Marching
Fabian Lander, Diaaeldin Taha
TL;DR
This paper introduces a ray marching-based visualization technique for flat surfaces, enabling intuitive exploration of complex geometric structures with efficient computation and practical implementation insights.
Contribution
The paper presents a novel ray marching method for visualizing flat surfaces, enhancing exploration of geometric structures with improved efficiency and accessibility.
Findings
Effective visualization of translation surfaces and mirror rooms
Maintains computational efficiency for complex structures
Provides implementation guidance and outreach applications
Abstract
We present an effective method for visualizing flat surfaces using ray marching. Our approach provides an intuitive way to explore translation surfaces, mirror rooms, unfolded polyhedra, and translation prisms while maintaining computational efficiency. We demonstrate the utility of the method through various examples and provide implementation insights for programmers. Finally, we discuss the use of our visualizations in outreach. We make our simulations and code available online.
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Taxonomy
TopicsComputer Graphics and Visualization Techniques · Advanced Numerical Analysis Techniques · Interactive and Immersive Displays