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On the Bijectivity of Thin-plate Splines

The thin-plate spline (TPS) has been widely used in a number of areas such as image warping, shape analysis and scattered data interpolation. Introduced by Bookstein[1], it is a natural interpolating function in two dimensions, parameterized by a finite numb er of landmarks. However, even though the thin-plate spline has a very elegant intuitive interpretation as well as mathematical formulation i

Exploring wireless mesh networks for collaborative augmented reality environments

Augmented Reality (AR) has emerged as a technology able to greatly support the interaction between people and digital information by merging virtual objects with the real environment. So far, research in this field has been mainly focused on single-user scenarios with pre-stored digital data whose visualization needs to be appropriately and promptly aligned with physical objects. Instead, latest d

Failure disjoint paths

Given a set of commodities and a network where some arcs can fail while others are reliable, we first consider the problem of computing a minimum-cost pair of paths not sharing failing links. If a reliable link belongs to both paths then its cost is counted only once. We show that this problem can be solved in strongly polynomial time. Second, we consider a routing problem where each commodity can

The Low Load Limit of Gasoline Partially Premixed Combustion (PPC) - Experiments in a Light Duty Diesel Engine

The decreasing oil supply, more stringent pollutant legislations and strong focus on decreasing carbon dioxide emissions drives the research of more efficient and clean combustion engines. One such combustion engine concept is Homogeneous Charge Compression Ignition (HCCI) which potentially achieves high efficiency and low NOx and soot emissions. One practical realization of HCCI in SI engines is

The Color Purple

The article discusses the significance of the color purple, that coming from the murex shell, in the E. Mediterranean Bronze Age. Included are a brief resumé of the manufacture of purple dye, its history of use, and its coeval but quite different status and importance in both urban centers and peripheral areas in the period