On a gesture-computing technique using electromagnetic waves

TL;DR

This paper introduces a gesture recognition method using electromagnetic waves, modeling gestures as scatterers and employing a two-stage detection algorithm with rigorous mathematical analysis and numerical validation.

Contribution

It presents a novel electromagnetic wave-based gesture recognition technique that models gestures as scatterers and uses a two-stage detection algorithm with theoretical guarantees.

Findings

Effective gesture recognition demonstrated through numerical experiments

Requires only two incident waves of different wavenumbers

Accurate detection of gesture shapes and locations

Abstract

This paper is concerned with a conceptual gesture-based instruction/input technique using electromagnetic wave detection. The gestures are modelled as the shapes of some impenetrable or penetrable scatterers from a certain admissible class, called a dictionary. The gesture-computing device generates time-harmonic electromagnetic point signals for the gesture recognition and detection. It then collects the scattered wave in a relatively small backscattering aperture on a bounded surface containing the point sources. The recognition algorithm consists of two stages and requires only two incident waves of different wavenumbers. The location of the scatterer is first determined approximately by using the measured data at a small wavenumber and the shape of the scatterer is then identified using the computed location of the scatterer and the measured data at a regular wavenumber. We provide the corresponding mathematical principle with rigorous analysis. Numerical experiments show that the proposed device works effectively and efficiently.