Many statistical estimation techniques for high-dimensional or functional data are based on a preliminary dimension reduction step, which consists in projecting the sample X1, . . . ,Xn onto the first D eigenvectors of the Principal Component Analysis (PCA) associated with the empirical projector Π̂D. Classical nonparametric inference methods such as kernel density estimation or kernel regressio...

In this paper we present trap profile measurements for HeLa cells in Optoelectronic Tweezers (OET) based on a data projector. The data projector is used as a light source to illuminate amorphous Si creating virtual electrodes which are used to trap particles through dielectrophoresis. We show that although the trap stiffness is typically greater at the edges of the optical spot it is possible t...

We introduce a family of noncommutative 4-spheres, such that the instanton projector has its first Chern class trivial: ch1(e) = Bχ + bξ. We construct for them a 4-dimensional cycle and calculate explicitly the Chern-Connes paring for the instanton projector.

This paper presents a new approach allowing one or more projectors to display an undistorted image on a surface of unknown geometry. To achieve this, a single camera is used to capture the viewer’s perspective of the projection surface. No explicit camera and projector calibration is required since only their relative geometries are computed using structured light patterns. There is no specific...

This paper presents a device that creates ubiquitous interactive graphics in a real world environment without the need for pre-wiring surfaces or requiring users to carry or wear any special devices. Called the Everywhere Displays projector, or ED-projector, this device employs steerability as the key principle to achieve the promise of ubiquitous computing and augmented reality. The ED-project...

This paper discusses a method for obtaining accurate 3D measurements using a temporally encoded structured light system. An objective of the work was to have a balance in the accuracy of all components in the system. This was achieved by including lens distortion in the models for both the camera and projector which comprise the structured light system. In addition, substripe estimation was use...

In this survey article we explain a few ideas behind the framework of the fermionic projector and summarize recent results which clarify the connection to quantum field theory. The fermionic projector is introduced, which describes the physical system by a collection of Dirac states, including the states of the Dirac sea. Formulating the interaction by an action principle for the fermionic proj...

This paper presents a novel method that leverages the stereo geometric relationship between projector and camera for absolute phase unwrapping on a standard one-projector and one-camera structured light system. Specifically, we use only one additional binary random image and the epipolar geometric constraint to generate a coarse correspondence map between projector and camera images. The coarse...