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A theorem on higher-order absolute differences taken from successive terms of bounded sequences is proved. This theorem establishes the property of bistability of such difference series and suggests a method for converting periodic discrete-time signals into the binary digital form based only on the computation of absolute differences. [ABSTRACT FROM AUTHOR]

Summary This paper presents a new high speed vision system using an asynchronous address-event representation camera. Within this framework, an asynchronous event-based real-time Hough circle transform is developed to track microspheres. The technology presented in this paper allows for a robust real-time event-based multiobject position detection at a frequency of several kHz with a low computational cost. Brownian motion is also detected within this context with both high speed and precision. The carried-out work is adapted to the automated or remote-operated microrobotic systems fulfilling their need of an extremely fast vision feedback. It is also a very promising solution to the micro physical phenomena analysis and particularly for the micro/nanoscale force measurement. [ABSTRACT FROM AUTHOR]

This paper deals with the calibration of a cylindric omnidirectional imaging system, based on a rotating 2,048 pixels linear camera which provides high definition panoramas. The two-step algorithm relies on line-segment projections as calibration features, which are sinusoidal curves. We proposed a cylindrical line detection, based on the dual principle of the Hough transform. Moreover, the use of Plucker coordinates introduces some new characteristics in the calibration process. This kind of formalism allow a linearization of the cylindrical projection, which is non-linear in the usual way. Results obtained from this first step are used to evaluate one of the intrinsics, the other one being determined by a linear criterion minimization in the dual space, i.e. the sines magnitudes space. [ABSTRACT FROM AUTHOR]