A boundary sequence is a good representation of arbitrary shaped regions, but not directly used in computing shape features such as area, centroid, orientation, and so forth. In this paper, we show that the shape features can be easily computed by using cross-sections derived from a boundary sequence. The cross-sections are vertical line segments in the region and can be determined by tracing t...

Hypergamy, Cross-Boundary Marriages, and Family Behavior We study the rise in marriages between residents of HK and China following the handover of HK to China in 1997. Cross-boundary marriages accounted for almost half the marriages registered in HK in 2006. Because of large differences in male income between China and HK, marriages of HK men with Mainland women outnumbered those of HK women w...

We present a new intuitive UI, which we call cross-boundary brushes, for interactive mesh decomposition. The user roughly draws one or more strokes across a desired cut and our system automatically returns a best cut running through all the strokes. By the different natures of part components (i.e., semantic parts) and patch components (i.e., flatter surface patches) in general models, we desig...

Many investment firms and portfolio managers rely on backtests (i.e., simulations of performance based on historical market data) to select investment strategies and allocate capital. Standard statistical techniques designed to prevent regression overfitting, such as holdout, tend to be unreliable and inaccurate in the context of investment backtests. We propose a general framework to assess th...

In this paper we will develop a method to determine cross sections of arbitrary two-dimensional tubular structures, which are allowed to branch, by means of a Stokes flow based boundary integral formulation. The measure for the cross sections for a point on the boundary of a given structure will be the path obtained by integrating perpendicularly to the flow lines from one side of the boundary ...