Soil fragmentation study applying different tillage systems

Runoff generation depends on rainfall, infiltration, interception, and surface depressional storage. Surface depressional storage depends on surface microtopography, usually quantified trough soil surface roughness (SSR). SSR is subject to spatial and temporal changes that create a high variability. In an agricultural environment, tillage operations produce abrupt changes in roughness. Subsequent rainfall gradually decreases roughness. Beside it, local variation in soil properties and hydrology cause its SSR to vary spatially at different scales. The methods commonly used to measure it involve collecting point elevations in regular grids using laser profilers or scanners, digital close range stereo-photogrammetry and terrestrial laser scanning or LIDAR systems. In this case, a laser-scanning instrument was used to obtain representative digital elevation models (DEMs) at a grid resolution of 7.2x7.2mm that cover an area of 0.9x0.9m. The DEMs were obtained from two study sites with different soils. The first study site was an experimental field on which five conventional tillage methods were applied. The second study site was a large olive orchard with trees planted at 7.5x5.0m and bare soils between rows. Here, three tillage treatments were applied. In this work we have evaluated the spatial variability of SSR at several scales studying differences in height calculated from points separated by incremental distances h were raised to power values q (from 0 to 4 in steps of 0.1). The q = 2 data were studied as a semivariogram model. The logarithm of average differences plotted vs. log h were characterized by their slope, ?(q). Structure functions [?(q) vs. q] were fitted showing that data had nonlinear structure functions typical of multiscale phenomena. Comparisson of the two types of soil in their respective structure functions are shown.

Desarrollos para la explotación de datos integrados mediante fotogrametría y láser escáner en proyectos de patrimonio arquitectónico

La presente tesis doctoral describe los desarrollos realizados, y finalmente materializados en patentes con registro de la propiedad intelectual, para la integración de las nuevas tecnologías de documentación fotogramétrica y las bases de datos de los barredores láser terrestres, en los procesos de elaboración, redacción y ejecución de proyectos de restauración y rehabilitación arquitectónicos. Los avances tecnológicos aparecidos en control métrico, junto con las técnicas de imagen digital y los desarrollos fotogramétricos, pueden aportar mejoras significativas en el proceso proyectual y permiten aplicar nuevos procedimientos de extracción de datos para generar de forma sencilla, bajo el control directo y supervisión de los responsables del proyecto, la información métrica y documental más adecuada. Se establecen como principios, y por tanto como base para el diseño de dicha herramienta, que los desarrollos aparecidos sí han producido el uso extendido del sistema CAD (como instrumento de dibujo) así como el uso de la imagen digital como herramienta de documentación. La herramienta a diseñar se fundamenta por tanto en la imagen digital (imágenes digitales, imágenes rectificadas, ortofotografías, estéreo- modelos, estereo- ortofotografías) así como su integración en autocad para un tratamiento interactivo. En la aplicación de la fotogrametría a la disciplina arquitectónica, se considera de interés estructurar aplicaciones con carácter integrador que, con mayores capacidades de interactuación y a partir de información veraz y rigurosa, permitan completar o elaborar documentos de interés proyectual, ABSTRACT This doctoral thesis explains the developments carried out, and finally patented with intellectual property rights, for the integration of the new photogrammetric technology documentation and terrestrial scanner databases in the preparation, documentation and implementation processes of restoration projects and architectural renovation. The technological advances in metric control, as well as the digital image techniques and photogrammetric developments, can together bring a significant improvement to the projecting process, and, under the direct control and supervision of those in charge of the project, can allow new data extraction processes to be applied in order to easily generate the most appropriate metric information and documentation. The principles and, therefore, the basis for the design of this tool are that the developments have indeed produced the widespread use of the CAD system (as a drawing instrument) and the use of digital images as a documentation tool. The tool to be designed is therefore based on digital images (rectify images, orthophotos, stereomodels, stereo-orthophotos) as well as its integration in Autocad for interactive processing. In the application of photogrammetry to the architectural discipline, what interests us is to structure applications of an integrative nature which, with a greater capacity for interaction and from accurate and thorough information, enable the completion or elaboration of documents that are of interest to the project.

Cuantificación de las erosión en un talud de Taganana mediante fotogrametría terrestre (Tenerife)

This paper provides an assessment of the potential of terrestrial photogrammetry to calculate erosion associated with surface runoff on hillsides near roads during recent periods. To do this we choose a road embankment located in a valley with hills which have developed abundant grooves erosion. The accuracy of the surveying tool is evident in the evaluation of small hillsides, but is impractical for the study of large hillsides with significant slopes, in which are unknown initial parameters of the topography.

Exploring Cultural Heritage Resources in a 3D Collaborative Environment

Cultural heritage is a complex and diverse concept, which brings together a wide domain of information. Resources linked to a cultural heritage site may consist of physical artefacts, books, works of art, pictures, historical maps, aerial photographs, archaeological surveys and 3D models. Moreover, all these resources are listed and described by a set of a variety of metadata specifications that allow their online search and consultation on the most basic characteristics of them. Some examples include Norma ISO 19115, Dublin Core, AAT, CDWA, CCO, DACS, MARC, MoReq, MODS, MuseumDat, TGN, SPECTRUM, VRA Core and Z39.50. Gateways are in place to fit in these metadata standards into those used in a SDI (ISO 19115 or INSPIRE), but substantial work still remains to be done for the complete incorporation of cultural heritage information. Therefore, the aim of this paper is to demonstrate how the complexity of cultural heritage resources can be dealt with by a visual exploration of their metadata within a 3D collaborative environment. The 3D collaborative environments are promising tools that represent the new frontier of our capacity of learning, understanding, communicating and transmitting culture.

Representación 3D de petroglifos: propuesta de metodología de modelización de los grabados del Valle de Tamanart, Marruecos.

La modelización tridimensional se ha ido implementando como una de las mejores formas de documentación del patrimonio histórico. En concreto, en lo que se refiere a la documentación de petroglifos resulta especialmente interesante en su estudio y difusión. Actualmente, existen diversos métodos de obtener estos modelos 3D, que implican diferentes tipos de instrumental, como escáneres láser o cámaras fotográficas, material informático y software. En este Trabajo Fin de Máster se pretende obtener una visión general de estos métodos,así como proponer una metodología basada en la fotogrametría de objeto cercano, para las necesidades de un proyecto concreto: el proyecto Tamanart en Marruecos. Para ello se realizan dos pruebas; una de laboratorio y otra en el Museo Arqueológico Nacional, para comprobar la viabilidad de esta metodología y sus futuras aplicaciones. ABSTRACT: 3D modeling has been implemented in the last years as one of the best ways to document historical and cultural heritage. In particular, referring to petroglyph documentation it is specially interesting to its study and dissemination. Nowadays, there are several methods to obtain this 3D models that implies different kinds of instruments, like laser-scanners or photographic cameras and computer hardware and software. In the present Master’s Dissertation it is intended to obtain a general vision of this methods,as well as propose a methodology using closed range photogrammetry, based in the needs of a specific project: Tamanart Project, in Morocco. For this purpose two tests are made, one of them in laboratory and the other in the Museo Arqueológico Nacional, to check the feasibility of this methodology and their future applications.

Análisis biomecánico zancada a zancada de la prueba "60 metros vallas" durante los campeonatos del mundo y de España de pista cubierta Valencia 2008

El principal objetivo del presente trabajo de investigación fue determinar las diferencias en distintas variables relacionadas con el rendimiento físico entre atletas de distinto nivel durante la prueba de los 60 metros vallas. Un total de 59 vallistas masculinos (los 31 participantes en el Campeonato del Mundo Absoluto de Pista Cubierta y los 28 participantes en el Campeonato de España Absoluto de Pista Cubierta, ambos celebrados en Valencia en el año 2008) formaron la muestra del estudio. El análisis biomecánico se realizó mediante un sistema fotogramétrico en dos dimensiones que permitió calcular, aplicando algoritmos basados en el procedimiento de la DLT (Abdel-Aziz y Karara, 1971), las coordenadas (x, y) de los sucesivos apoyos de los pies de los atletas sobre toda la superficie de competición. La filmación de las pruebas se llevó a cabo con seis cámaras de vídeo, ubicadas sobre la gradas, con una frecuencia de muestreo para el tratamiento de los datos de 50 Hz. En la fase de salida, los atletas de nivel superior mostraron una menor longitud (p<0,05) y tiempo de zancada (p<0,001), debido a un menor tiempo de vuelo (p<0,05). En la fase de vallas, los atletas de nivel más elevado presentaron mayores distancia de ataque a la valla (p<0,001), así como menores distancias de caída de la valla (p<0,001), tiempos de zancada (p<0,01-0,001) y de apoyo (p<0,01-0,001 ) en los cuatro pasos que conforman cada ciclo de vallas, así como un menor tiempo de vuelo en el paso de valla (p<0,001) y en el paso de transición (p<0,001). De manera adicional, se encontraron importantes diferencias en el reparto de los pasos entre vallas entre la primera y tercera valla y el resto de obstáculos. En la fase final, se observó una mayor longitud de zancada en los atletas de nivel superior (p<0,001), así como un menor tiempo de zancada (p<0,01) y de apoyo (p<0,01). Los resultados obtenidos en el presente estudio de investigación avalan la utilización de la fotogrametría en dos dimensiones para el análisis biomecánico de la prueba de 60 metros vallas en competición. Su aplicación en competiciones del máximo nivel internacional ha posibilitado conocer las características de los vallistas a lo largo de toda la prueba y determinar posibles implicaciones de cara al proceso de entrenamiento. ABSTRACT The aim of this research was to determine the differences in different variables related to physical performance among athletes of different levels during the race of 60 meter hurdles. A total of 59 male hurdlers (the 31 participants in the World Indoor Championship and the 28 participants in the Spanish Indoor Championship, both held in Valencia in 2008) formed the sample of the study. The biomechanical analysis of athletes was performed using a two-dimensional photogrammetric system which enabled calculation, applying algorithms based on the DLT method (Abdel -Aziz y Karara , 1971), the coordinates (x , y) of the successive supports of the feet on the entire competition surface. Filming test was conducted with six video cameras, located on the bleachers, with a sampling frequency for data processing of 50 Hz. In the approach run phase, the top-level athletes showed a smaller length step (p<0.05), and shorter step time (p<0.001), due to a shorter step flight time (p<0.05). In the hurdle unit phase, the higher level athletes had greater take-off distances (p<0.001), shorter landing distances (p<0.001), smaller step times (p<0.01-0.001), and support times (p<0.01- 0.001) in the four steps that comprised each hurdle unit, and smaller flight times in the hurdle step (p < 0.001), and the recovery step (p<0.001). Additionally, differences in the distribution of hurdle unit steps between the first and third hurdle, and other hurdles were found. In the run-in phase, a greater step length in top-level athletes (p<0.001), and a shorter step time (p<0.01) and contact time (p<0.01) was observed. The results obtained in this study support the use of photogrammetry in two dimensions for biomechanical analysis in 60 meter hurdles competition events. Its application at the highest international level competitions has allowed to know the characteristics of the hurdlers over the entire race and identify possible implications for the training process.

Objective metrics for functional evaluation of upper limb during the ADL of drinking: application in SCI

Three-dimensional kinematic analysis provides quantitative assessment of upper limb motion and is used as an outcome measure to evaluate movement disorders. The aim of the present study is to present a set of kinematic metrics for quantifying characteristics of movement performance and the functional status of the subject during the execution of the activity of daily living (ADL) of drinking from a glass. Then, the objective is to apply these metrics in healthy people and a population with cervical spinal cord injury (SCI), and to analyze the metrics ability to discriminate between healthy and pathologic people. 19 people participated in the study: 7 subjects with metameric level C6 tetraplegia, 4 subjects with metameric level C7 tetraplegia and 8 healthy subjects. The movement was recorded with a photogrammetry system. The ADL of drinking was divided into a series of clearly identifiable phases to facilitate analysis. Metrics describing the time of the reaching phase, the range of motion of the joints analyzed, and characteristics of movement performance such as the efficiency, accuracy and smoothness of the distal segment and inter-joint coordination were obtained. The performance of the drinking task was more variable in people with SCI compared to the control group in relation to the metrics measured. Reaching time was longer in SCI groups. The proposed metrics showed capability to discriminate between healthy and pathologic people. Relative deficits in efficiency were larger in SCI people than in controls. These metrics can provide useful information in a clinical setting about the quality of the movement performed by healthy and SCI people during functional activities.

Comparison of Airborne Laser Scanning Methods for Estimating Forest Structure Indicators Based on Lorenz Curves

The purpose of this study was to compare a number of state-of-the-art methods in airborne laser scan- ning (ALS) remote sensing with regards to their capacity to describe tree size inequality and other indi- cators related to forest structure. The indicators chosen were based on the analysis of the Lorenz curve: Gini coefficient ( GC ), Lorenz asymmetry ( LA ), the proportions of basal area ( BALM ) and stem density ( NSLM ) stocked above the mean quadratic diameter. Each method belonged to one of these estimation strategies: (A) estimating indicators directly; (B) estimating the whole Lorenz curve; or (C) estimating a complete tree list. Across these strategies, the most popular statistical methods for area-based approach (ABA) were used: regression, random forest (RF), and nearest neighbour imputation. The latter included distance metrics based on either RF (NN–RF) or most similar neighbour (MSN). In the case of tree list esti- mation, methods based on individual tree detection (ITD) and semi-ITD, both combined with MSN impu- tation, were also studied. The most accurate method was direct estimation by best subset regression, which obtained the lowest cross-validated coefficients of variation of their root mean squared error CV(RMSE) for most indicators: GC (16.80%), LA (8.76%), BALM (8.80%) and NSLM (14.60%). Similar figures [CV(RMSE) 16.09%, 10.49%, 10.93% and 14.07%, respectively] were obtained by MSN imputation of tree lists by ABA, a method that also showed a number of additional advantages, such as better distributing the residual variance along the predictive range. In light of our results, ITD approaches may be clearly inferior to ABA with regards to describing the structural properties related to tree size inequality in for- ested areas.

Assessment of Underground Wine Cellars Using Geographic Information Technologies

Geographic information technologies (GIT) are essential to many fields of research, such as the preservation and dissemination of cultural heritage buildings, a category which includes traditional underground wine cellars. This article presents a methodology based on research carried out on this type of rural heritage building. The data were acquired using the following sensors: EDM, total station, close-range photogrammetry and laser scanning, and subsequently processed with a specific software which was verified for each case, in order to obtain a satisfactory graphic representation of these underground wine cellars. Two key aspects of this work are the accuracy of the data processing and the visualization of these traditional constructions. The methodology includes an application for geovisualizing these traditional constructions on mobile devices in order to contribute to raising awareness of this unique heritage.

Modelos digitales del terreno mediante fotogrametría aérea realizada con un vehículo aéreo no tripulado

En las últimas décadas, el avance tecnológico ha aumentado a una velocidad vertiginosa. Muchos son los campos beneficiados, entre ellos la ingeniería y por consiguiente el desarrollo de maquinaria, técnicas y herramientas que facilitan el trabajo. Los vehículos aéreos no tripulados (UAVs), más conocidos como drones, se presentan como una alternativa muy interesante para llevar a cabo levantamientos topográficos mediante la técnica fotogramétrica. En este proyecto se desarrollan los Modelos Digitales del Terreno (MDT) de una superficie sobrevolada por un UAV en la localidad de Cubillos del Sil (León). Para ello, se han utilizado dos software: Mission Planner y PhotoModeler. En el primero se ha llevado a cabo la programación de la misión de vuelo del drone, siendo el fin la toma de fotografías aéreas. El segundo es el encargado de realizar la reconstrucción digital en 3D del terreno sobrevolado a partir de esas fotografías. El objetivo final es que los MDT obtenidos puedan ser utilizados en un futuro por cualquier equipo de trabajo que quiera desarrollar un proyecto sobre esos terrenos. ABSTRACT The pace of technology innovation is faster now than it has been for the past few decades. Engineering, and consequently machinery and diverse techniques, are the main beneficiaries. A clear example of this is the development of unmanned aerial vehicles (UAVs), more commonly known as drones. They are a very good alternative that can be used to carry out topographic surveys through photogrammetry. In this project the Digital Terrain Models (DTM) of an overflown area in the municipality of Cubillos del Sil (León) are developed. Two main pieces of software have been used for this purpose; Mission Planner and PhotoModeler. Programming of the drone flight mission was done with the former, allowing it to take aerial pictures, whilst the latter was used to digitally rebuild the overflown area in 3D, using the pictures from the first piece of software. The final aim of the project is to make the obtained DTM available for any future project.

The construction of sexpartite vaults in Europe

Sexpartite vaults constitute one of the most interesting chapters in European Gothic architecture. Originally, the use of the square cross-ribbed vault was limited to relatively small spaces, but when the need arose to cover spaces of considerable size, a new vault with very peculiar characteristics appeared. This new vault was a cross-ribbed vault that was reinforced in the centre by a rib that was parallel to the transverse ribs which effectively divided the vault in half. This configuration breaks the side arch into two fragments, creating a pair of windows on each side. The volumetrics of these vaults is extremely complex and the difficulties involved in their construction perhaps explain why they were abandoned in favour of the simple cross ribbed vault, now with rectangular sections. The existence of the sexpartite vault barely lasted more than fifty years, from the end of the XII century and the beginning of the XIII. Towards the end of the 19th century Viollet-le-Duc gave a succinct explanation of this type of vault. A. Choisy also, later, devotes some pages to the French sexpartite vault; since then, the subject has only been broached in a few references in later studies on Gothic architecture. However, despite its short period of existence, the sexpartite vault spread throughout Europe and was used to build important vaulting. Viollet-le-Duc's sexpartite vault could be considered to be the prototype of them all, while it is true that the studies that we have conducted so far lead us to affirm that there is a wide variety of vaults, with different volumetric spaces and different construction strategies. Therefore, we believe that this chapter of international Gothic deserves further study applying the knowledge and resources that are available today. This paper has been written to explore the most significant European sexpartite vaults. New measurement technology has led to a revolution in research into the history of construction, allowing studies to be conducted that were hitherto impossible. Thorough data collection using total station and photogrammetry has enabled us to identify the stereotomy of the voussoirs, tas-de-charges and keystones, as well as the bonding of the surfaces of the severies. A comparison of the construction techniques employed in the different vaults studied reveals common construction features and aspects that are specific to each country. Thus we are able to establish the relationship between sexpartite vaults in different European countries and their influence on each other.

Calibración geométrica de cámaras no métricas. Estudio de metodologías y modelos matemáticos de distorsión

La Fotogrametría, como ciencia y técnica de obtención de información tridimensional del espacio objeto a partir de imágenes bidimensionales, requiere de medidas de precisión y en ese contexto, la calibración geométrica de cámaras ocupa un lugar importante. El conocimiento de la geometría interna de la cámara es fundamental para lograr mayor precisión en las medidas realizadas. En Fotogrametría Aérea se utilizan cámaras métricas (fabricadas exclusivamente para aplicaciones cartográficas), que incluyen objetivos fotográficos con sistemas de lentes complejos y de alta calidad. Pero en Fotogrametría de Objeto Cercano se está trabajando cada vez con más asiduidad con cámaras no métricas, con ópticas de peor calidad que exigen una calibración geométrica antes o después de cada trabajo. El proceso de calibración encierra tres conceptos fundamentales: modelo de cámara, modelo de distorsión y método de calibración. El modelo de cámara es un modelo matemático que aproxima la transformación proyectiva original a la realidad física de las lentes. Ese modelo matemático incluye una serie de parámetros entre los que se encuentran los correspondientes al modelo de distorsión, que se encarga de corregir los errores sistemáticos de la imagen. Finalmente, el método de calibración propone el método de estimación de los parámetros del modelo matemático y la técnica de optimización a emplear. En esta Tesis se propone la utilización de un patrón de calibración bidimensional que se desplaza en la dirección del eje óptico de la cámara, ofreciendo así tridimensionalidad a la escena fotografiada. El patrón incluye un número elevado de marcas, lo que permite realizar ensayos con distintas configuraciones geométricas. Tomando el modelo de proyección perspectiva (o pinhole) como modelo de cámara, se realizan ensayos con tres modelos de distorsión diferentes, el clásico de distorsión radial y tangencial propuesto por D.C. Brown, una aproximación por polinomios de Legendre y una interpolación bicúbica. De la combinación de diferentes configuraciones geométricas y del modelo de distorsión más adecuado, se llega al establecimiento de una metodología de calibración óptima. Para ayudar a la elección se realiza un estudio de las precisiones obtenidas en los distintos ensayos y un control estereoscópico de un panel test construido al efecto. ABSTRACT Photogrammetry, as science and technique for obtaining three-dimensional information of the space object from two-dimensional images, requires measurements of precision and in that context, the geometric camera calibration occupies an important place. The knowledge of the internal geometry of the camera is fundamental to achieve greater precision in measurements made. Metric cameras (manufactured exclusively for cartographic applications), including photographic lenses with complex lenses and high quality systems are used in Aerial Photogrammetry. But in Close Range Photogrammetry is working increasingly more frequently with non-metric cameras, worst quality optical components which require a geometric calibration before or after each job. The calibration process contains three fundamental concepts: camera model, distortion model and method of calibration. The camera model is a mathematical model that approximates the original projective transformation to the physical reality of the lenses. The mathematical model includes a series of parameters which include the correspondents to the model of distortion, which is in charge of correcting the systematic errors of the image. Finally, the calibration method proposes the method of estimation of the parameters of the mathematical modeling and optimization technique to employ. This Thesis is proposing the use of a pattern of two dimensional calibration that moves in the direction of the optical axis of the camera, thus offering three-dimensionality to the photographed scene. The pattern includes a large number of marks, which allows testing with different geometric configurations. Taking the projection model perspective (or pinhole) as a model of camera, tests are performed with three different models of distortion, the classical of distortion radial and tangential proposed by D.C. Brown, an approximation by Legendre polynomials and bicubic interpolation. From the combination of different geometric configurations and the most suitable distortion model, brings the establishment of a methodology for optimal calibration. To help the election, a study of the information obtained in the various tests and a purpose built test panel stereoscopic control is performed.

Aplicación de herramientas gis para la cartografía y correlación de datos de ensayos no destructivos en el diagnóstico de edificios históricos

La presente tesis propone un nuevo método de cartografía de ensayos no destructivos en edificios históricos mediante el uso de técnicas basadas en SIG. Primeramente, se define el método por el cual es posible elaborar y convertir una cartografía 3D basada en nubes de puntos de un elemento arquitectónico obtenida mediante fotogrametría, en cartografía raster y vectorial, legible por los sistemas SIG mediante un sistema de coordenadas particular que referencian cada punto de la nube obtenida por fotogrametría. A esta cartografía inicial la denominaremos cartografía base. Después, se define el método por el cual los puntos donde se realiza un ensayo NDT se referencian al sistema de coordenadas del plano base, lo que permite la generación de cartografías de los ensayos referenciadas y la posibilidad de obtener sobre un mismo plano base diferentes datos de múltiples ensayos. Estas nuevas cartografías las denominaremos cartografías de datos, y se demostrará la utilidad de las mismas en el estudio del deterioro y la humedad. Se incluirá el factor tiempo en las cartografías, y se mostrará cómo este nuevo hecho posibilita el trabajo interdisciplinar en la elaboración del diagnóstico. Finalmente, se generarán nuevas cartografías inéditas hasta entonces consistentes en la combinación de diferentes cartografías de datos con la misma planimetría base. Estas nuevas cartografías, darán pie a la obtención de lo que se ha definido como mapas de isograma de humedad, mapa de isograma de salinidad, factor de humedad, factor de evaporación, factor de salinidad y factor de degradación del material. Mediante este sistema se facilitará una mejor visión del conjunto de los datos obtenidos en el estudio del edificio histórico, lo que favorecerá la correcta y rigurosa interpretación de los datos para su posterior restauración. ABSTRACT This research work proposes a new mapping method of non-destructive testing in historical buildings, by using techniques based on GIS. First of all, the method that makes it possible to produce and convert a 3D map based on cloud points from an architectural element obtained by photogrammetry, are defined, as raster and vector, legible by GIS mapping systems using a particular coordinate system that will refer each cloud point obtained by photogrammetry. This initial mapping will be named base planimetry. Afterwards, the method by which the points where the NDT test is performed are referenced to the coordinate system of the base plane , which allows the generation of maps of the referenced tests and the possibility of obtaining different data from multiple tests on the same base plane. These new maps will be named mapping data and their usefulness will be demonstrated in the deterioration and moisture study. The time factor in maps will be included, and how this new fact will enable the interdisciplinary work in the elaboration of the diagnosis will be proved. Finally, new maps (unpublished until now) will be generated by combining different mapping from the same planimetry data base. These new maps will enable us to obtain what have been called isograma moisture maps, isograma salinity- maps, humidity factor, evaporation factor, salinity factor and the material degradation factor. This system will provide a better vision of all data obtained in the study of historical buildings , and will ease the proper and rigorous data interpretation for its subsequent restoration.

Bóvedas sexpartitas : los orígenes del gótico

Uno de los capítulos más interesantes del gótico europeo lo constituyen las bóvedas sexpartitas, sin lugar a dudas una de las bóvedas más singulares jamás creadas dentro de este estilo. Las primeras bóvedas góticas, en cruce de ojivas y de planta cuadrada, limitaban su uso a espacios relativamente pequeños, pero ante la necesidad de cubrir espacios de considerables dimensiones, apareció una nueva bóveda de características muy peculiares; la sexpartita. Esta bóveda en cruce de ojivas está reforzada por el centro con un arco paralelo a los arcos fajones que la divide por la mitad y que fragmenta el arco formero en dos, creando una pareja de ventanales en cada lado. La sencilla superficie en bóveda de arista, en el origen de las bóvedas de crucería, se complica extraordinariamente creando una volumetría de gran complejidad con seis cuarteles de plementería y con seis apoyos de distinto tamaño, cuatros esquineros y dos centrales más pequeños. Las dificultades que implica la construcción de este tipo de bóvedas explican quizás su abandono prematuro y la vuelta a la bóveda de crucería simple, ahora de tramos rectangulares. No obstante, a pesar de su corta existencia, la bóveda sexpartita fue la gran protagonista de los inicios del gótico y con ella se llevaron a cabo importantes abovedamientos, desde Inglaterra hasta Rumanía. La disciplina de la Historia de la Construcción se vio extraordinariamente favorecida por los estudios realizados en el siglo XIX, sin embargo su investigación se abandona durante el siglo XX para ser recuperada recientemente. Viollet-le-Duc, a finales del s. XIX, hace una sucinta explicación de este tipo de bóvedas. También Auguste Choisy, más tarde, dedica unas páginas a la bóveda sexpartita francesa; desde entonces, este tema, ha merecido escasísimas referencias en los estudios posteriores. Esta investigación se enmarca en este contexto y pretende poner de manifiesto los conocimientos geométricos y constructivos que hicieron posible la realización de las bóvedas sexpartitas europeas. Para ello se ha llevado a cabo la investigación de las principales bóvedas en Europa occidental; Francia, España, Inglaterra, Alemania, Suiza e Italia. Su estudio comparativo nos ha permitido poner de manifiesto sus características constructivas comunes y aquellos aspectos propios de cada país, así como algunos de los canales de comunicación que permitieron la expansión de esta arquitectura. Las nuevas tecnologías de medición, el escáner láser, la estación total, la fotogrametría, etc., han supuesto una revolución para la documentación y restauración del Patrimonio y un salto cualitativo formidable para el análisis de las bóvedas góticas, permitiendo estudios de la arquitectura histórica hasta ahora inabordables. Para realizar el análisis de las bóvedas sexpartitas europeas se ha llevado a cabo un levantamiento exhaustivo de las mismas, lo que ha permitido definir su despiece, obteniendo la forma de la talla de cada uno de los elementos constructivos que la componen; jarjas, dovelas, claves y plementería. La obtención de estos datos nos ha permitido abordar un profundo estudio de su estereotomía y construcción, aportando datos inéditos hasta el momento. Por otro lado se ha llevado a cabo la detección y catalogación de las principales bóvedas sexpartitas que aún se conservan en Europa. Los estudios realizados nos permiten afirmar que la bóveda sexpartita surge en Francia en la segunda mitad del siglo XII, utilizándose en las principales catedrales francesas, como Notre Dame de Paris, Bourges o Laon. A comienzos del siglo XIII cae en desuso en Francia y comienza su expansión por el resto de Europa, donde se abandona medio siglo después, desapareciendo definitivamente del gótico europeo. Mientras que los ejemplos que datan del siglo XII muestran soluciones escasamente desarrolladas y propias del románico, las bóvedas construidas en el siglo XIII muestran soluciones enormemente complejas, con grandes jarjamentos e inteligentes estrategias constructivas y geométricas que permiten la simplificación de sus estructuras auxiliares y una mayor libertad en su diseño. Estas bóvedas son el reflejo del desarrollo de la estereotomía gótica en sus comienzos por lo que su estudio nos ha permitido conocer el desarrollo y la evolución del gótico primitivo en Europa. ABSTRACT One of the most interesting chapters of European Gothic is the sexpartite vault, without doubt one of the most remarkable vaults ever created within this style. The first Gothic vaults, with crossed ribs on a square base, were restricted to relatively small areas, but a new vault, with very particular characteristics emerged to address the need to cover spaces of considerable size; the sexpartite vault. This cross-ribbed vault is reinforced in the centre by an arch that runs parallel to the transverse arches, divides the vault in half and splits the wall arch in two, creating a pair of windows, one on each side. The simple groin vault surface, the source of ribbed vaults, was greatly complicated creating a highly complex volume with six sections of severies and with six supports of different sizes, four on the corners and two smaller central ones. The construction difficulties involved in building this type of vault may explain its premature abandonment and a return to the simple cross-ribbed vault, now in rectangular sections. However, despite its brief existence, the sexpartite vault was the great protagonist of the beginnings of Gothic architecture and important vaulting was built using this system from England to Romania. Studies undertaken in the 19th century helped the History of Construction as a discipline tremendously. Research was abandoned during the twentieth century however, and has only recently been taken up again. Towards the end of the 19th century, Viollet-le-Duc gave a brief description of this type of vault. Later, Auguste de Choisy also devoted some pages to the French sexpartite vault; since then, later studies have made very few references to it. Against this background, this research now attempts to bring to light the knowledge of geometry and construction that made the construction of the European sexpartite vault possible. To this end, the main vaults in Western Europe - France, Spain, England, Germany, Switzerland and Italy, have been studied. By making a comparative study we have been able to reveal the common construction features and those that are specific to each country, as well as some of the channels of communication that enabled this architecture to spread. New measuring technologies, the laser scanner, total station, photogrammetry, etc., have given rise to a revolution in heritage documentation and restoration, as well as facilitating a huge qualitative leap for the analysis of Gothic vaults, enabling studies of historical architecture that until now were inaccessible. A comprehensive survey was carried out to be able to analyse European sexpartite vaults. We could thus create an exploded view, which enabled us to obtain the form of each of the elements; tas-de-charges, voussoirs, keystones and severies. The data gathered provided previously unknown facts that enabled us to make an in-depth study of stereotomy and construction. Furthermore, the main sexpartite vaults still preserved in Europe have been identified and categorised. The studies undertaken allowed us to affirm that the sexpartite vault appeared in France in the second half of the twelfth century, being used in the main French cathedrals, such as Notre Dame de Paris, Bourges or Laon. At the beginning of the thirteenth century it fell into disuse in France and began to expand throughout the rest of Europe, where it was abandoned half a century later, disappearing from European Gothic for good. While the examples dating back to the 12th century display poorly developed solutions more characteristic of the Romanesque, the vaults built in the 13th century reveal enormously complex solutions, with large tas-de-charges and intelligent construction and geometric strategies that allowed auxiliary support structures to be simplified, and gave more freedom to design. These vaults reflect the beginnings of Gothic stereotomy and by studying them we have been able to learn more about the development and evolution of Early Gothic architecture in Europe.