Fractal analysis of laplacian pyramidal filters applied to segmentation of soil images

The laplacian pyramid is a well-known technique for image processing in which local operators of many scales, but identical shape, serve as the basis functions. The required properties to the pyramidal filter produce a family of filters, which is unipara metrical in the case of the classical problem, when the length of the filter is 5. We pay attention to gaussian and fractal behaviour of these basis functions (or filters), and we determine the gaussian and fractal ranges in the case of single parameter ?. These fractal filters loose less energy in every step of the laplacian pyramid, and we apply this property to get threshold values for segmenting soil images, and then evaluate their porosity. Also, we evaluate our results by comparing them with the Otsu algorithm threshold values, and conclude that our algorithm produce reliable test results.

Flammability conditions for ultra-lean hydrogen premixed combustion based on flame-ball analyses

It has been reasoned that the structures of strongly cellular flames in very lean mixtures approach an array of flame balls, each burning as if it were isolated, thereby indicating a connection between the critical conditions required for existence of steady flame balls and those necessary for occurrence of self-sustained premixed combustion. This is the starting assumption of the present study, in which structures of near-limit steady sphericosym-metrical flame balls are investigated with the objective of providing analytic expressions for critical combustion conditions in ultra-lean hydrogen-oxygen mixtures diluted with N2 and water vapor. If attention were restricted to planar premixed flames, then the lean-limit mole fraction of H2 would be found to be roughly ten percent, more than twice the observed flammability limits, thereby emphasizing the relevance of the flame-ball phenomena. Numerical integrations using detailed models for chemistry and radiation show that a onestep chemical-kinetic reduced mechanism based on steady-state assumptions for all chemical intermediates, together with a simple, optically thin approximation for water-vapor radiation, can be used to compute near-limit fuel-lean flame balls with excellent accuracy. The previously developed one-step reaction rate includes a crossover temperature that determines in the first approximation a chemical-kinetic lean limit below which combustión cannot occur, with critical conditions achieved when the diffusion-controlled radiation-free peak temperature, computed with account taken of hydrogen Soret diffusion, is equal to the crossover temperature. First-order corrections are found by activation-energy asymptotics in a solution that involves a near-field radiation-free zone surrounding a spherical flame sheet, together with a far-field radiation-conduction balance for the temperature profile. Different scalings are found depending on whether or not the surrounding atmosphere contains wáter vapor, leading to different analytic expressions for the critical conditions for flame-ball existence, which give results in very good agreement with those obtained by detailed numerical computations.

Análisis paramétrico determinista y aleatorio de problemas dinámicos en estructuras aeroespaciales

Los fenómenos dinámicos pueden poner en peligro la integridad de estructuras aeroespaciales y los ingenieros han desarrollado diferentes estrategias para analizarlos. Uno de los grandes problemas que se plantean en la ingeniería es cómo atacar un problema dinámico estructural. En la presente tesis se plantean distintos fenómenos dinámicos y se proponen métodos para estimar o simular sus comportamientos mediante un análisis paramétrico determinista y aleatorio del problema. Se han propuesto desde problemas sencillos con pocos grados de libertad que sirven para analizar las diferentes estrategias y herramientas a utilizar, hasta fenómenos muy dinámicos que contienen comportamientos no lineales, daños y fallos. Los primeros ejemplos de investigación planteados cubren una amplia gama de los fenómenos dinámicos, como el análisis de vibraciones de elementos másicos, incluyendo impactos y contactos, y el análisis de una viga con carga armónica aplicada a la que también se le añaden parámetros aleatorios que pueden responder a un desconocimiento o incertidumbre de los mismos. Durante el desarrollo de la tesis se introducen conceptos y se aplican distintos métodos, como el método de elementos finitos (FEM) en el que se analiza su resolución tanto por esquemas implícitos como explícitos, y métodos de análisis paramétricos y estadísticos mediante la técnica de Monte Carlo. Más adelante, una vez ya planteadas las herramientas y estrategias de análisis, se estudian fenómenos más complejos, como el impacto a baja velocidad en materiales compuestos, en el que se busca evaluar la resistencia residual y, por lo tanto, la tolerancia al daño de la estructura. Se trata de un suceso que puede producirse por la caída de herramienta, granizo o restos en la pista de aterrizaje. Otro de los fenómenos analizados también se da en un aeropuerto y se trata de la colisión con un dispositivo frangible, el cual tiene que romperse bajo ciertas cargas y, sin embargo, soportar otras. Finalmente, se aplica toda la metodología planteada en simular y analizar un posible incidente en vuelo, el fenómeno de la pérdida de pala de un turbohélice. Se trata de un suceso muy particular en el que la estructura tiene que soportar unas cargas complejas y excepcionales con las que la aeronave debe ser capaz de completar con éxito el vuelo. El análisis incluye comportamientos no lineales, daños, y varios tipos de fallos, y en el que se trata de identificar los parámetros clave en la secuencia del fallo. El suceso se analiza mediante análisis estructurales deterministas más habituales y también mediante otras técnicas como el método de Monte Carlo con el que se logran estudiar distintas incertidumbres en los parámetros con variables aleatorias. Se estudian, entre otros, el tamaño de pala perdida, la velocidad y el momento en el que se produce la rotura, y la rigidez y resistencia de los apoyos del motor. Se tiene en cuenta incluso el amortiguamiento estructural del sistema. Las distintas estrategias de análisis permiten obtener unos resultados valiosos e interesantes que han sido objeto de distintas publicaciones. ABSTRACT Dynamic phenomena can endanger the integrity of aerospace structures and, consequently, engineers have developed different strategies to analyze them. One of the major engineering problems is how to deal with the structural dynamics. In this thesis, different dynamic phenomena are introduced and several methods are proposed to estimate or simulate their behaviors. The analysis is considered through parametric, deterministic and statistical methods. The suggested issues are from simple problems with few degrees of freedom, in order to develop different strategies and tools to solve them, to very dynamic phenomena containing nonlinear behaviors failures, damages. The first examples cover a wide variety of dynamic phenomena such as vibration analysis of mass elements, including impacts and contacts, and beam analysis with harmonic load applied, in which random parameters are included. These parameters can represent the unawareness or uncertainty of certain variables. During the development of the thesis several concepts are introduced and different methods are applied, such as the finite element method (FEM), which is solved through implicit and explicit schemes, and parametrical and statistical methods using the Monte Carlo analysis technique. Next, once the tools and strategies of analysis are set out more complex phenomena are studied. This is the case of a low-speed impact in composite materials, the residual strength of the structure is evaluated, and therefore, its damage tolerance. This incident may occur from a tool dropped, hail or debris throw on the runway. At an airport may also occur, and it is also analyzed, a collision between an airplane and a frangible device. The devise must brake under these loads, however, it must withstand others. Finally, all the considered methodology is applied to simulate and analyze a flight incident, the blade loss phenomenon of a turboprop. In this particular event the structure must support complex and exceptional loads and the aircraft must be able to successfully complete the flight. Nonlinear behavior, damage, and different types of failures are included in the analysis, in which the key parameters in the failure sequence are identified. The incident is analyzed by deterministic structural analysis and also by other techniques such as Monte Carlo method, in which it is possible to include different parametric uncertainties through random variables. Some of the evaluated parameters are, among others, the blade loss size, propeller rotational frequency, speed and angular position where the blade is lost, and the stiffness and strength of the engine mounts. The study does also research on the structural damping of the system. The different strategies of analysis obtain valuable and interesting results that have been already published.

Acompañando e intensificando la información entrante en el explorar generativo

Los llamados procesos creativos en general, y los del proyectar arquitectónico en particular, mantienen aproximaciones hacia el objeto centradas principalmente en el procedimiento, es decir, en lo estratégico, lo metodológico o/y lo paradigmático. En ellas, además, el potencial de información no suele ser completo ni contemplado o, si lo ha sido, de manera inconciente, o referido de nuevo a lo procedimental. Igualmente, se centra el interés de estas aproximaciones, o en el objeto propuesto o resultado, o en lo procesal, pero sin atender a su constitución, es decir, a la información misma. Por tanto, y como reclama la física, la base constituyente informacional de estas aproximaciones, no ha sido considerada hasta ahora, ni se ha intentado sistematizar. Junto a esta omisión, estos acercamientos no permiten que cada humano configure de manera autónoma, independiente e íntegramente su propio proceso pues, los comentados procedimientos, están apoyados en marcos contextuales, culturales o/y procesales, reflejando así una orientación limitada en espacio-tiempo. Es así que se propone una potencia, o “aquellas cualidades poseídas por las cosas en cuya virtud éstas son totalmente impasibles o inmutables, o no se dejan cambiar fácilmente…”, según la define Aristóteles en “Metafísica”, como la posibilidad de, a la vez, aludir a un abanico informacional completo y apuntar hacia la íntegra elaboración de un proceso personal propio. Desde lo informacional, que a su vez es energético dependiendo de la disciplina científica considerada, se diferencian, en primer lugar, unos atributos o términos mínimos, que son unas potencias que compendian el abanico informacional completo. Es decir, son mínimos máximos. Estos atributos forman la fase cualitativa de la información a la que se llama acompañamiento. En segundo lugar, y apoyado tanto en el funcionamiento cerebral, en el espacio-tiempo cuántico, como en los nuevos experimentos e investigaciones de la biología, la física y la neurociencia en especial, se abren líneas nuevas para acceder a la información, antes contemplada de manera lineal, local y como entidad separada. Por ello, esta segunda aproximación presenta una potencia de intensificación de datos, que permite un aumento de los mismos en el cerebro y, por ello, la posibilidad de evitar el problema del “papel en blanco”. A esta fase se la nombra promoción. En tercer lugar, ambas fases constituyen la generación como propuesta de tesis, siendo la misma un cambio de cualquier tipo en el que alguien es agente de algo, específicamente, cuando un humano es mediador entre sucesos. Fusionando ambas, se añade simultáneamente una con-formación potencial global, que es sinérgicamente más que la suma de las dos anteriores. De esta manera agrupadora, y con objeto de materializar y sistematizar ahora esta generación o potencia, se presenta una puesta en práctica. Para ello, se desarrolla un modelo analítico-geométrico-paramétrico y se expone su aplicación en dicho caso práctico. Además, dicho modelo presenta un funcionamiento autorreferido u holográfico, reflejando tanto a los estudios científicos revisados, como al propio funcionamiento de los atributos o/y de todas las potencias que se presentan en esta investigación. ABSTRACT Generally speaking the so-called creative processes, and particularly those of the architectural design, keep approaches into the object oriented mainly in the process, so to speak, into the strategical, the methodological and/ or into the paradigmatic. In addition, they don’t usually take into account the potential of information neither in a complete manner nor even contemplated or, if considered, worked out unconsciously, or referred back to the procedural. Similarly, the interest of these approaches is focused either in the proposed object or the output, or in the processual, but leaving their constituent out, being it the information itself. Therefore, as physics is claiming nowadays, the constituent core of these approaches have neither been taken into account so far, nor tried to systematize. Along with this omission, these approaches do not allow each human being to set up autonomously, independently and entirely her/ his own process, because the mentioned procedures are supported by contextual, cultural and/ or procedural frameworks, reflecting then a perspective limited in space-time. Thus a potency is proposed, or "those qualities possessed by things under which they are totally impassive or immutable, or are not easily changed...", as defined by Aristotle in "Metaphysics", as the possibility to, and at the same time, alluding to a full informational range and point out to a whole development of an own personal process. From the informational stand, which in turn is energetic depending on the scientific discipline considered, it is distinguished, in the first place, a minimum set of attributes or terms, which are potencies that summarize the full informational range. That is, they are maximum minimums. These attributes build up the qualitative phase of the information being called accompaniment. Secondly, and supported in the brain functioning, in quantum space-time, as in new experiments and research carried out by biology, physics and neuroscience especially, new lines to access information are being opened, being contemplated linearly, locally and as a detached entity before. Thus, this second approach comes up with a potency of data`s intensifying that allows an increase in the brain thereof and, therefore, the possibility of avoiding the problem of "the blank paper". Promotion is how this phase is appointed. In the third place, both phases form the generation as the dissertation proposal, being it a change of any kind in which someone is the agent of something, specifically, when a human being is the mediator in between events. Fusing both of them, a global potential formation-with is added simultaneously, which is synergistically greater than the sum of the previous two. In this grouping way, and now in order to materialize and systemize this generation or potency, an implementation is displayed. To this end, an analytical-geometrical-parametrical model is developed and put into practice as a case study. In addition, this model features a self-referral or holographic functioning, being aligned to both scientific reviewed studies, and the very functioning either of the attributes and/ or all the potencies that are introduced in this research.

Vivienda y fondo edificatorio: análisis de las consecuencias del parámetro fondo en el edificio de vivienda colectiva

Este estudio ofrece una herramienta de aproximación al espacio morfológico-métrico en el que se formula la ciudad de alta densidad desde la vivienda colectiva. La vivienda colectiva es la célula básica de la ciudad. El estudio configurativo y dimensional del tejido urbano muestra la importancia del fondo edificatorio como parámetro clave a mitad de camino entre la vivienda y la ciudad. El fondo edificatorio traza el margen de la arquitectura en la ciudad y desde él se equipa y cuantifica el territorio urbano. Sus dinámicas van caracterizando los distintos entornos, mientras en su interior se formula el tipo en un ajuste de continua verificación y adaptación. La forma de la ciudad y sus distintas posibilidades configurativas —en cuanto masa construida y espacio público, pero sin perder de vista la relación entre ambos— depende en gran medida del fondo edificatorio. Se trata, por tanto, de un parámetro importante de relación entre las distintas configuraciones del espacio exterior e interior. Al proyectar, una vez establecido un fondo, algunas propiedades se adaptan con facilidad mientras que otras requieren un cierto grado de interpretación o deben ser descartadas. Dada una superficie, la especificación del fondo fuerza la dimensión del frente en las configuraciones posibles. Ambas dimensiones son vitales en el valor del factor de forma del continuo edificado y en su relación se produce el complejo rango de posibilidades. Partiendo de la ciudad, un gran fondo encierra y mezcla en su interior todo tipo de usos sin distinción, repercute un menor coste por unidad de superficie edificada y comparte su frente reduciendo los intercambios térmicos y lumínicos. Sin embargo la ciudad de fondo reducido ajusta la forma al uso y se desarrolla linealmente con repetitividad a lo largo de sus frentes exteriores. En ella, el fuerte intercambio energético se opone a las grandes posibilidades del espacio libre. En cambio desde la casa las distintas medidas del fondo se producen bajo determinados condicionantes: clima, compacidad, ocupación, hibridación, tamaño de casa, etc., mientras que el tipo se desarrolla en base a una métrica afín. Este trabajo parte de esta dialéctica. Estudia la relación de dependencia entre las condiciones del edificio de viviendas y su métrica. Jerarquiza edificios en base al parámetro “fondo” para constituir una herramienta que como un ábaco sea capaz de visibilizar las dinámicas relacionales entre configuración y métrica bajo la condición de alta densidad. Para ello en una primera fase se gestiona una extensa muestra de edificios representativos de vivienda colectiva principalmente europea, extraída de tres prestigiosos libros en forma de repertorio. Se ordenan y categorizan extrayendo datos conmensurables y temas principales que ligan la profundidad de la huella a la morfología y posteriormente, esta información se estudia en diagramas que ponen de manifiesto convergencias y divergencias, acumulaciones y vacíos, límites, intervalos característicos, márgenes y ejes, parámetros y atributos... cuya relación trata de factorizar el lugar morfológico y métrico de la casa como metavivienda y ciudad. La herramienta se establece así como un complejo marco relacional en el que posicionar casos concretos y trazar nexos transversales, tanto de tipo morfológico como cultural, climático o técnico, normativo o tecnológico. Cada nuevo caso o traza añadida produce consonancias y disonancias en el marco que requieren interpretación y verificación. De este modo este instrumento de análisis comparativo se tempera, se especializa, se completa y se perfecciona con su uso. La forma de la residencia en la ciudad densa se muestra así sobre un subsistema morfológico unitario y su entendimiento se hace más fácilmente alcanzable y acumulable tanto para investigaciones posteriores como para el aprendizaje o el ejercicio profesional. ABSTRACT This research study offers a tool to approach the morphometric space in which (multi-family) housing defines high-density cities. Multi-family housing is the basic cell of the city. The configuration and dimension studies of the urban fabric render the importance of building depth as a key parameter half way between the dwelling and the city. The building depth traces de limit of architecture in the city. It qualifies and quantifies the urban territory. Its dynamics characterize the different environments while in its essence, an adjustment process of continuous verification and adaption defines type. The shape of the city and its different configuration possibilities —in terms of built fabric and public space, always keeping an eye on the relationship between them— depend majorly on the building depth. Therefore, it is a relevant parameter that relates the diverse configurations between interior and exterior space. When designing, once the depth is established, some properties are easily adpated. However, others require a certain degree of interpretation or have to be left out of the study. Given a ceratin surface, the establishment of the depth forces the dimensions of the facade in the different configurations. Both depth and facade dimensions are crucial for the form factor of the built mass. Its relationship produces a complex range of possibilities. From an urban point of view, great depth means multiple uses (making no distinction whatsoever,) it presents a lower cost per unit of built area and shares its facade optimizing temperature and light exchange. On the contrary, the city of reduced depth adjusts its shape to the use, and develops linearly and repetitively along its facades. The strong energy exchange opposes to the great possibilities of free space. From the perspective of the dwelling, the different dimensions of depth are produced under certain determinants: climate, compactness, occupancy, hybridization, dwelling size, etc. Meanwhile, the type is developed based on a related meter (as in poetry). This work starts from the previous premise. It studies the dependency relation bewteen the conditions of the dwellings and their meter (dimensions). It organizes buildings hierarchically based on the parameter “depth” to create a tool that, as an abacus, is able to visibilise the relational dynamics between configuration and dimension in high density conditions. For this, in the first stage a large group of representative multi-family housing buildings is managed, mostly from Europe, picked from three prestigious books as a repertoir. They are categorized and ordered drawing commensurable data and key issues that link the depth of the fooprint to its morphology. Later, this information is studied deeply with diagrams that bring out connections and discrepancies, voids and accumulations, limits, charasteristic intervals, margins and axii, parameters, attributes, etc. These relationships try to create factors from a morphological and metrical point of view of the house as a metadwelling. This tool is established as a complex relation frame in which case studies are postitioned and cross-cutting nexii are traced. These can deal with morphology, climate, technique, law or technology. Each new case or nexus produces affinities and discrepancies that require interpretation and verification. Thus, this instrument of comparative analysis is fine-tuned, especialized and completed as its use is improved. The way housing is understood in high density cities is shown as a unitary metric subsystem and its understanding is easy to reach and accumulate for future researchers, students or practicing architects.

Periodic emission of droplets from an oscillating electrified meniscus of a low-viscosity, highly conductive liquid

The generation of identical droplets of controllable size in the micrometer range is a problem of much interest owing to the numerous technological applications of such droplets. This work reports an investigation of the regime of periodic emission of droplets from an electrified oscillating meniscus of a liquid of low viscosity and high electrical conductivity attached to the end of a capillary tube, which may be used to produce droplets more than ten times smaller than the diameter of the tube. To attain this periodic microdripping regime, termed axial spray mode II by Juraschek and Röllgen [R. Juraschek and F. W. Röllgen, Int. J. Mass Spectrom. 177, 1 (1998)], liquid is continuously supplied through the tube at a given constant flow rate, while a dc voltage is applied between the tube and a nearby counter electrode. The resulting electric field induces a stress at the surface of the liquid that stretches the meniscus until, in certain ranges of voltage and flow rate, it develops a ligament that eventually detaches, forming a single droplet, in a process that repeats itself periodically. While it is being stretched, the ligament develops a conical tip that emits ultrafine droplets, but the total mass emitted is practically contained in the main droplet. In the parametrical domain studied, we find that the process depends on two main dimensionless parameters, the flow rate nondimensionalized with the diameter of the tube and the capillary time, q, and the electric Bond number BE, which is a nondimensional measure of the square of the applied voltage. The meniscus oscillation frequency made nondimensional with the capillary time, f, is of order unity for very small flow rates and tends to decrease as the inverse of the square root of q for larger values of this parameter. The product of the meniscus mean volume times the oscillation frequency is nearly constant. The characteristic length and width of the liquid ligament immediately before its detachment approximately scale as powers of the flow rate and depend only weakly on the applied voltage. The diameter of the main droplets nondimensionalized with the diameter of the tube satisfies dd≈(6/π)1/3(q/f)1/3, from mass conservation, while the electric charge of these droplets is about 1/4 of the Rayleigh charge. At the minimum flow rate compatible with the periodic regimen, the dimensionless diameter of the droplets is smaller than one-tenth, which presents a way to use electrohydrodynamic atomization to generate droplets of highly conducting liquids in the micron-size range, in marked contrast with the cone-jet electrospray whose typical droplet size is in the nanometric regime for these liquids. In contrast with other microdripping regimes where the mass is emitted upon the periodic formation of a narrow capillary jet, the present regime gives one single droplet per oscillation, except for the almost massless fine aerosol emitted in the form of an electrospray.