Conformal Retargetting for LWDs

Recovering Information for Missing Display Surfaces in LWD Facilities

Immersive facilities, despite their numerous advantages, face a significant challenge: the absence of certain display surfaces-such as floors, ceilings, or entrances-which leads to incomplete visual coverage and impaired navigation. We encountered this issue while working on our Large Wall Display (LWD) facility, Silo (Boorboor et al., 2025). Silo is a cylindrical facility composed of 21 columns; however, it includes a gap for an entrance and lacks display surfaces on both the floor and ceiling.

Conformal mapping techniques, such as Ricci Flow, offer a solution for recovering this missing information. These angle-preserving mappings allow us to transform a nearly complete 3D shape (such as a capsule) onto a flat texture, which can then be applied to facilities with missing display areas, like the cylindrical Silo.

Angle-preserving conformal mapping of a capsule.

However, while conformal mappings can recover missing regions, they can also introduce visual distortions. To address this, we can apply area-preserving Optimal Transport (OT) techniques to correct these distortions.

Area-preserving OT mapping of a capsule.

Ray tracing can then be used to generate textures based on these corrected conformal mappings.

Left, using raytracing to generate a cubemap texture. Right, comparison of textures obtained from (a) Conformal Mapping, and (b) Optimal Transport.

Finally, applying these textures to immersive facilities, such as the Silo (Boorboor et al., 2025), allows us to visualize previously hidden information.

Left, we have mapping results in the Silo for (a) VC and (b) protein-folding structure. Insets show the full texture and the missing information recovered by the mapping highlighted in green. Right, Our mapping reveals a polyp in virtual colonoscopy which was otherwise hidden in the floor of the Silo. (a) VC scene mapped on the Silo using our conformal+OT method. The green region highlights recovered information. (b) VC scene without mapping.

References

2025

  1. IEEE VR
    Silo: Half-Gigapixel Cylindrical Stereoscopic Immersive Display
    Saeed* Boorboor, Doris* Gutiérrez-Rosales, Ahamed Shoaib, and 5 more authors
    2025