Overview
Ray-VR offers the possibility of investigating Non-Euclidean spaces using ray tracing. Our research includes new algorithms to trace (possibly curved) rays in these spaces with non-trivial geometry and topology.
Ray Tracing in 3-Manifolds
We developed an image-space ray-tracing algorithm to generate interior views of 3-manifolds, orbifolds, and similar polyhedral complexes.
![](https://www.visgraf.impa.br/ray-vr/wp-content/uploads/2019/10/Screen-Shot-2019-10-23-at-11.49.58.png)
Paper: “An image-space algorithm for immersive views in 3-manifolds”
The Thurston’s 8 Geometries
We investigate Thurston’s Geometrization conjecture and propose an immersive visualization of manifolds modeled by Thurston geometries using ray tracing.
![](https://www.visgraf.impa.br/ray-vr/wp-content/uploads/2019/10/classification.png)