Visualization of Tangent Developables on a Volumetric Display

A tangent developable is a developable surface constructed by the union of the tangent lines of a space curve. These surfaces have applications not only in mathematics but also in engineering, such as for designing cars, ships, and apparel. However, since tangent developables typically have complicated and twisted surfaces, it is difficult to understand their structures from their images on a 2D screen. For ease in understanding such complicated structures, a more improved visualization method is required. In this study, we propose and evaluate a software tool for visualizing tangent developables on a volumetric display that draws 3D images directly in real 3D space.