In this paper, we present our research on left hand gesture acquisition and analysis in guitar performances. The main goal of our research is the study of expressiveness. Here, we focus on a detection model for the left hand fingering based on gesture information. We use a capacitive sensor to capture fingering positions and we look for a prototypical description of the most common fingering po...

A simple single substrate limiting model of a growing biofilm layer is presented. One-dimensional moving front solutions are analyzed. Under certain conditions these solutions are shown to be linearly unstable to fingering instabilities. Scaling laws for the biofilm growth rate and length scale are derived. The nonlinear evolution of the fingering instabilities is tracked numerically using a le...

We present a novel method for assigning fingers to notes in a polyphonic piano score. Such a mapping (called a “fingering”) is of great use to performers. To accommodate performers’ unique hand sha our method relies on a simple, user function. We use dynamic programming to search the space of all possible fingerings for the optimal fingering under this cost function. Despite the simplicity of t...

Viscous fingering is a well-known hydrodynamic instability that sets in when a less viscous fluid displaces a more viscous fluid. When the two fluids are miscible, viscous fingering introduces disorder in the velocity field and exerts a fundamental control on the rate at which the fluids mix. Here we analyze the characteristic signature of the mixing process in viscously unstable flows, by mean...

In the presence of a vertically varying horizontal current (background shear), the salt-fingering instability is supplanted by the salt-sheet instability. Previous direct numerical simulation (DNS) experiments on salt sheets revealed that flow becomes turbulent via secondary instabilities. We call these instabilities zig-zag and tip modes. Here, we investigate the physics of these modes using l...

One of the most important aspects in playing the piano is using the appropriate fingers to facilitate movement and transitions. The fingering arrangement depends to a certain extent on the size of the musician’s hand. We have developed an automatic fingering system that, given a sequence of pitches, suggests which fingers should be used. The output can be personalized to agree with the limitati...

Ten years ago Hou, Lowengrub and Shelley [4] published a state-of-the-art boundary integral simulation of a classical viscous fingering problem, the Saffman–Taylor instability [12]. In terms of complexity and level of detail, those computations [4] are still among the most ramified and accurately computed interfacial instability patterns that have appeared in the literature. Since 1994, the com...