Analytic free-form lens design in 3D: coupling three ray sets using two lens surfaces

The two-dimensional analytic optics design method presented in a previous paper [Opt. Express 20, 5576–5585 (2012)] is extended in this work to the three-dimensional case, enabling the coupling of three ray sets with two free-form lens surfaces. Fermat’s principle is used to deduce additional sets of functional differential equations which make it possible to calculate the lens surfaces. Ray tracing simulations demonstrate the excellent imaging performance of the resulting free-form lenses described by more than 100 coefficients.

Three dimensional (3D) microstructure-based modeling of interfacial decohesion in particle reinforced metal matrix composites

Modeling and prediction of the overall elastic–plastic response and local damage mechanisms in heterogeneous materials, in particular particle reinforced composites, is a very complex problem. Microstructural complexities such as the inhomogeneous spatial distribution of particles, irregular morphology of the particles, and anisotropy in particle orientation after secondary processing, such as extrusion, significantly affect deformation behavior. We have studied the effect of particle/matrix interface debonding in SiC particle reinforced Al alloy matrix composites with (a) actual microstructure consisting of angular SiC particles and (b) idealized ellipsoidal SiC particles. Tensile deformation in SiC particle reinforced Al matrix composites was modeled using actual microstructures reconstructed from serial sectioning approach. Interfacial debonding was modeled using user-defined cohesive zone elements. Modeling with the actual microstructure (versus idealized ellipsoids) has a significant influence on: (a) localized stresses and strains in particle and matrix, and (b) far-field strain at which localized debonding takes place. The angular particles exhibited higher degree of load transfer and are more sensitive to interfacial debonding. Larger decreases in stress are observed in the angular particles, because of the flat surfaces, normal to the loading axis, which bear load. Furthermore, simplification of particle morphology may lead to erroneous results.

Interacción combinada táctil 3D para manejo de colecciones de documentos

Actualmente existen varios dispositivos que aceptan gestos sobre superficies táctiles, sean celulares, tabletas, computadores, etc. a los cuales las personas se acostumbran rápidamente a su uso y los aceptan como herramientas necesarias en su vida. Del mismo modo existen algunas aplicaciones que manejan entornos en 3D, y permiten captar gestos realizados con las manos, cuerpo, cabeza. Estas técnicas se han desarrollado mucho por separado pero se ha podido evidenciar en base a los artículos revisados que no existen muchos estudios que combinen las aplicaciones táctiles con las 3D manejadas por gestos en el aire. El presente trabajo muestra un prototipo que permite la comunicación y coordinación entre dos aplicaciones, una que muestra documentos representados por esferas en una aplicación con interacción táctil desarrollada en Unity que funciona sobre Android, y una segunda aplicación desarrollada también en Unity que maneja un entorno 3D con el que se interactúa mediante gestos realizados en el aire. Luego de algunos intentos la interacción entre ambas aplicaciones fue lograda implementando comunicación por sockets entre la aplicación en el dispositivo Android y la aplicación 3D que se encuentra alojada en un computador con Windows 7. La captura de gestos en el aire se realiza mediante el sistema Tracking Tools desarrollado por la compañía Optitrack que captura los movimientos con cámaras infrarrojas y marcadores en los dedos. Este sistema envía los datos de los gestos a nuestra aplicación 3D. Estos equipos son de propiedad del laboratorio Decoroso Crespo de la Universidad Politécnica de Madrid. Una vez lograda la implementación e interacción entre las aplicaciones se han realizado pruebas de usabilidad con nueve estudiantes del Máster Universitario en Software y Sistemas de la Universidad Politécnica de Madrid. Cada uno ha respondido una serie de encuestas para poder obtener resultados sobre cuán usable es el prototipo, la experiencia del usuario y qué mejoras se podrían realizar sobre éste. En la parte final de este documento se presentan los resultados de las encuestas y se muestran las conclusiones y trabajo futuro.---ABSTRACT---Currently there are several devices that accept gestures on touch surfaces like phones, tablets, computers, etc. to which people quickly become accustomed to their use and accept them as necessary tools in their life. Similarly there are some applications that handle 3D environments and like televisions, holograms and allow capture gestures made with hands, body, and head. These techniques have been developed on a separated way but based on some research we may say that the are not many studies that combine touch with 3D applications handled by gestures in the air. This paper presents a prototype of the interaction of two issues of a 2D showing documents represented by spheres on a touch application developed in Unity that works on Android and allows communicating with the second application also developed in Unity that handles a 3D environment interaction of gestures made in air. After some attempts interaction was achieved by implementing communication sockets between the application on the Android device and 3D application that is hosted on a computer with windows 7, and gestures capturing in the air is done by the system Tracking Tools developed by the Optitrack company it captures movements with infrared cameras and markers on the fingers, which sends data to this application gestures, these equipment are owned by the Decoroso Crespo laboratory of the Polytechnic University of Madrid. Once achieved the interaction of applications has been conducted performance tests with ten students of the university master of the Universidad Politécnica de Madrid, each has answered a series of surveys to get results on how usable is the prototype, the user experience and that improvements could be made on this.