This paper proposes an interactive rendering method of cloth fabrics under environment lighting. The outgoing radiance from cloth fabrics in the microcylinder model is calculated by integrating the product of the distant environment lighting, the visibility function, the weighting function that includes shadowing/masking effects of threads, and the light scattering function of threads. The radi...

This paper is inspired by a wayfinding study by Hölscher et al. (2005), who find serious wayfinding difficulties in a complex multi-level building and identify architectural properties related to the difficulties. The present study re-analyzes the qualitative results in terms of Space Syntax measures and thus ties them down to formal properties of the architectural structure. The analysis caref...

We prove that a graph is 4-colorable if and only if it can be drawn with vertices in the integer lattice, using as edges only line segments not containing a third point of the lattice.