Research into shape grammar implementation has largely been concerned with rectilinear shapes and there has been little research concerning implementation on curved shapes. This reflects developments of the shape grammar formalism which has traditionally been defined according to straight lines. In this paper, issues regarding the application of shape grammars on curved shapes are investigated....

Gravity whose nature is fundamental to the understanding of solar system, galaxies and the structure and evolution of the Universe, is theorized by the assumption of curved spacetime, according to Einstein , s general theory of relativity (EGR). Particles which experience gravity only, move on curved spacetime along straight lines (geodesics). The geodesics are determined by curved-spacetime me...

Gravity whose nature is fundamental to the understanding of solar system, galaxies and the structure and evolution of the Universe, is theorized by the assumption of curved spacetime, according to Einstein , s general theory of relativity (EGR). Particles which experience gravity only, move on curved spacetime along straight lines (geodesics). The geodesics are determined by curved-spacetime me...

Gravity whose nature is fundamental to the understanding of solar system, galaxies and the structure and evolution of the Universe, is theorized by the assumption of curved spacetime, according to Einstein , s general theory of relativity (EGR). Particles which experience gravity only, move on curved spacetime along straight lines (geodesics). The geodesics are determined by curved-spacetime me...

Since curved dg algebras, and modules over them, have differentials whose square is not zero, these objects have no cohomology, and there is no classical derived category. For different purposes, different notions of “derived” categories have been introduced in the literature. In this note, we show that for some concrete curved dg algebras, these derived categories vanish. This happens for exam...

A spherical pendulum-type model was constructed to represent liquid sloshing in a cylindrical container caused by container transfer along a curved path. The model was used to design a curved path and a transfer control system in consideration of the damping of sloshing in the container. The curvature radius of the curved path and the acceleration of the container were determined using an input...

We address curved IR screens for multiwavelength systems. To first-order of the approximation, a curved screen may be viewed as composed of many local flat screens. On the other hand, the validity of such an approximation is not clear a priori. We provide experiments and simulations to show that such an approximation works well for cylindrically curved IR screens while monitoring their peak tra...

Curved screens are increasingly being used for high-resolution immersive visualization environments. We describe a new technique to display seamless images using overlapping projectors on curved quadric surfaces such as spherical or cylindrical shape. We exploit a quadric image transfer function and show how it can be used to achieve sub-pixel registration while interactively displaying two or ...