Abstract We provide a meromorphic continuation for Poincaré series counting orthogeodesics of negatively curved surface with totally geodesic boundary, as well arcs linking two points. For the latter series, we show that value at zero coincides inverse Euler characteristic surface.

We present the i-ConeTM: a new projection-based panoramic display system for virtual environments. The i-ConeTM uses conical screen geometry, resulting in optimized projector placement to create an extended workspace for standing participants in a front projection curved screen display with a very large continuous field of view. Improved acoustical properties of the conical screen geometry enab...

The energy-momentum tensor for a massless conformally coupled scalar field in de Sitter spacetime in the presence of a couple curved branes is investigated. We assume that the scalar field satisfies the Robin boundary condition on the surfaces. Static de Sitter space is conformally related to the Rindler space, as a result we can obtain vacuum expectation values of energy-momentum tensor for co...

A principle in surface sampling and mesh generation is that highly curved area should be sampled densely and vice versa. This paper presents an approach for automated surface sampling and adaptive mesh generation in accordance with the principle. The approach is self-organizing, forming topology-preserving mesh from random initialization. Mesh spacing versus surface curvedness can be easily con...