Continuity of set-valued maps revisited in the light of tame geometry

Continuity of set-valued maps is hereby revisited: after recalling some basic concepts of variational analysis and a short description of the State-of-the-Art, we obtain as by-product two Sard type results concerning local minima of scalar and vector valued functions. Our main result though, is inscribed in the framework of tame geometry, stating that a closed-valued semialgebraic set-valued map is almost everywhere continuous (in both topological and measure-theoretic sense). The result –depending on stratification techniques– holds true in a more general setting of o-minimal (or tame) set-valued maps. Some applications are briefly discussed at the end.

Elaboració d'un protocol basat en XML per a una xarxa de sensors

La progressiva reducció de dimensió i cost en els dispositius electrònics, la dràstica retallada de consum elèctric i la independència de què això els dota han fet créixer en els últims temps l'interès de les comunitats científiques i tecnològiques per les xarxes sense fils de petits dispositius. Per altra banda, l'XML (eXtensible Markup Language) és un metallenguatge extensible que ha esdevingut un estàndard per a l'intercanvi d'informació estructurada entre diferents plataformes. L'objectiu d'aquest treball és explorar les possibilitats que pot oferir la introducció de l'XML en les xarxes de sensors amb l'elaboració d'un protocol de comunicació basat en aquest llenguatge i demostrar la transparència en el canvi de plataforma. Per fer-ho, es disposa de dos dispositius amb capacitat de comunicació sense fils equipats amb detectors de temperatura, lluminositat, efecte Hall i nivell de càrrega de la bateria. El projecte constarà de dues parts: una, més extensa, dedicada al desenvolupament del programari per a aquests dispositius, encarregat de obtenir les lectures dels diferents sensors i emetre-les per la xarxa utilitzant el llenguatge XML, i una altra, per recollir aquesta informació present a la xarxa, interpretar-la, salvar-la en una base de dades i exposar-la al món en una plana web. El programari dels dispositius sensors s'escriurà en llenguatge nesC dins el sistema tinyOS que és el sistema operatiu que equipen. La part d'explotació de les dades es desenvoluparà sota la plataforma .NET de Microsoft.

Calibration of a Structured Light-Based Stereo Catadioptric Sensor

Catadioptric sensors are combinations of mirrors and lenses made in order to obtain a wide field of view. In this paper we propose a new sensor that has omnidirectional viewing ability and it also provides depth information about the nearby surrounding. The sensor is based on a conventional camera coupled with a laser emitter and two hyperbolic mirrors. Mathematical formulation and precise specifications of the intrinsic and extrinsic parameters of the sensor are discussed. Our approach overcomes limitations of the existing omni-directional sensors and eventually leads to reduced costs of production

An approach to visual servoing based on coded light

Positioning a robot with respect to objects by using data provided by a camera is a well known technique called visual servoing. In order to perform a task, the object must exhibit visual features which can be extracted from different points of view. Then, visual servoing is object-dependent as it depends on the object appearance. Therefore, performing the positioning task is not possible in presence of non-textured objects or objects for which extracting visual features is too complex or too costly. This paper proposes a solution to tackle this limitation inherent to the current visual servoing techniques. Our proposal is based on the coded structured light approach as a reliable and fast way to solve the correspondence problem. In this case, a coded light pattern is projected providing robust visual features independently of the object appearance

Robust decoupled visual servoing based on structured light

This paper focuses on the problem of realizing a plane-to-plane virtual link between a camera attached to the end-effector of a robot and a planar object. In order to do the system independent to the object surface appearance, a structured light emitter is linked to the camera so that 4 laser pointers are projected onto the object. In a previous paper we showed that such a system has good performance and nice characteristics like partial decoupling near the desired state and robustness against misalignment of the emitter and the camera (J. Pages et al., 2004). However, no analytical results concerning the global asymptotic stability of the system were obtained due to the high complexity of the visual features utilized. In this work we present a better set of visual features which improves the properties of the features in (J. Pages et al., 2004) and for which it is possible to prove the global asymptotic stability

Plane-to-plane positioning from image-based visual servoing and structured light

In this paper we face the problem of positioning a camera attached to the end-effector of a robotic manipulator so that it gets parallel to a planar object. Such problem has been treated for a long time in visual servoing. Our approach is based on linking to the camera several laser pointers so that its configuration is aimed to produce a suitable set of visual features. The aim of using structured light is not only for easing the image processing and to allow low-textured objects to be treated, but also for producing a control scheme with nice properties like decoupling, stability, well conditioning and good camera trajectory

A new optimised De Bruijn coding strategy for structured light patterns

Coded structured light is an optical technique based on active stereovision that obtains the shape of objects. One shot techniques are based on projecting a unique light pattern with an LCD projector so that grabbing an image with a camera, a large number of correspondences can be obtained. Then, a 3D reconstruction of the illuminated object can be recovered by means of triangulation. The most used strategy to encode one-shot patterns is based on De Bruijn sequences. In This work a new way to design patterns using this type of sequences is presented. The new coding strategy minimises the number of required colours and maximises both the resolution and the accuracy

Implementation of a robust coded structured light technique for dynamic 3D measurements

This paper presents the implementation details of a coded structured light system for rapid shape acquisition of unknown surfaces. Such techniques are based on the projection of patterns onto a measuring surface and grabbing images of every projection with a camera. Analyzing the pattern deformations that appear in the images, 3D information of the surface can be calculated. The implemented technique projects a unique pattern so that it can be used to measure moving surfaces. The structure of the pattern is a grid where the color of the slits are selected using a De Bruijn sequence. Moreover, since both axis of the pattern are coded, the cross points of the grid have two codewords (which permits to reconstruct them very precisely), while pixels belonging to horizontal and vertical slits have also a codeword. Different sets of colors are used for horizontal and vertical slits, so the resulting pattern is invariant to rotation. Therefore, the alignment constraint between camera and projector considered by a lot of authors is not necessary

Behaviours implemented using a vision system based on coded light projection

In a search for new sensor systems and new methods for underwater vehicle positioning based on visual observation, this paper presents a computer vision system based on coded light projection. 3D information is taken from an underwater scene. This information is used to test obstacle avoidance behaviour. In addition, the main ideas for achieving stabilisation of the vehicle in front of an object are presented

Reuse of paths in light source animation

In this paper we extend the reuse of paths to the shot from a moving light source. In the classical algorithm new paths have to be cast from each new position of a light source. We show that we can reuse all paths for all positions, obtaining in this way a theoretical maximum speed-up equal to the average length of the shooting path

Fault-finding device

El projecte es va fer al KHLim a Diepenbeek. Es tractava de dissenyar un nou dispositiu de localització d'avaries del relè del motor, per tal de de substituir el que ja hi havia, per raons de seguretat

QDIUS2 (Query Device Information Using Specific Sensors)

QDius2 és una aplicació pensada per a persones amb discapacitat visual. Consisteix en realitzar una descripció verbalitzada de l’estat d’un electrodomèstic utilitzant un dispositiu mòbil amb sistema operatiu Android. L’aplicació guiarà verbalment l’usuari perquè pugui enfocar el panell de control de l’electrodomèstic amb la càmera. Es processarà la imatge obtinguda per extreure la seva informació, ja sigui en el mateix mòbil o al núvol, segons les preferències de l’usuari, i es llegirà la informació resultant. Aquest projecte està dividit en vuit memòries, una per a cada integrant del grup.

Heterogeneity as a coordination device

A model of directed search with a finite number of buyers and sellers is considered, where sellers compete in direct mechanisms. Buyer heterogeneity and Nash equilibrium results in perfect sorting. The restriction to complementary inputs, that the match value function Q is supermodular, in addition coordinates the sellers strategies. In that case, equilibrium implements positive assortative matching, which is efficient and consistent with the stable (cooperative equilibrium) outcome. This provides a non-cooperative and decentralizedsolution for the Assignment Game. Conversely, if buyers are identical, no such coordination is possible, and there is a continuum of equilibria, one of which exhibits price posting, another yields competition in auctions.

The biased balance: Observation, formalism and interpretation of a dissymmetric measuring device

This paper studies a balance whose unobservable fulcrum is not necessarilylocated at the middle of its two pans. It presents three differentmodels, showing how this lack of symmetry modifies the observation, theformalism and the interpretation of such a biased measuring device. Itargues that the biased balance can be an interesting source of inspirationfor broadening the representational theory of measurement.