From Pyramids to Diamonds

From Pyramids to Plates to Patterns: Perspectives on Meal Planning.

Increasing Diamonds

A class of diamond-shaped combinatorial structures is studied whose enumerating generating functions satisfy differential equations of the form f2 “ Gpfq, for some function G. In addition to their own interests and being natural extensions of increasing trees, the study of such DAG-structures was motivated by modelling executions of seriesparallel concurrent processes; they may also be used in ...

Extracting Linear Features from Images Using Pyramids

A method is described of extracting linear features from images. The approach is to construct a series of lower-resolution versions of the original image (a pyramid), and to look for lines in these images. A line in a low-resolution image corresponds to a thicker linear feature in a high-resolution image. The position and extent of this linear feature is calculated from the low-resolution image...

Vortex shedding from slender surface mounted pyramids

The current investigation examines periodic vortex shedding from surface mounted pyramids with taper ratios (2*height/base diameter) of 7.6 to 14.3 in a thin boundary layer using surface pressure measurements along the obstacle faces. Over the lower portion of the pyramids (y/h<~0.5) regular periodic vortex shedding was observed. Near the tip, a large time-scale structure was observed. This str...

Rendering Diamonds

Fascinating colors of diamonds are generated by a combination of mechanisms including Fresnel reflection, volume absorption and light dispersion. This paper proposes an approach to unify these mechanisms to synthesize realistic computer images of diamonds. Our work is based on a composite spectral model that accounts separately for smooth components and spikes in spectra. While sufficiently han...