Morphing arquitectónico: transformaciones entre las casas usonianas de Frank Lloyd Wright

Esta tesis investiga sobre el proceso de transformación de la forma arquitectónica, analizando una técnica específica denominada morphing. La técnica del morphing se utiliza en los gráficos por ordenador para la transformación de la forma entre dos o más objetos dados. Desde un punto de vista técnico, se revisan y actualizan las metodologías y aplicaciones existentes, sus características específicas y sus incidencias sobre la arquitectura. Desde un punto de vista práctico, se utilizan una serie de modelos de las casas Usonianas de Frank Lloyd Wright, con el fin de experimentar la técnica y ver qué utilidades se pueden obtener a partir de su lógica de diseño. Como resultado de este análisis se obtiene una metodología genérica para el procedimiento de un morphing arquitectónico.This thesis investigates the transformation of architectural form, analyzing a specific technique called morphing. Morphing is a technique used in computer graphics to transform a form between two or more given objects. From a technical point of view, the existing techniques are reviewed and updated, as well as their specific characteristics and impact on architecture. From a practical point of view, some models of Usonian houses of Frank Lloyd Wright are used to experience the technique and see which utilities are available from his design logic. As a result of this analysis a generic methodology for the process of architectural morphing is obtained.Postprint (published version

Robust morphing of point-sampled geometry

We propose a novel morphing algorithm for objects represented by point-sampled geometry. The fundamental problem of point-sampled geometry morphing is how to set the correspondence between points of the two objects which are usually of different size. The two objects are first parameterized by projecting the sample points onto a common parametric domain. As both objects are densely sampled, we present a novel accelerated parameterization algorithm employing the technique of LOD. The common parameter domain is then split recursively into clusters. The correspondence between sample points of the two objects is established by performing a local mapping in each cluster. As for complex geometries, the establishment of correspondence is facilitated by decomposing the geometry into patches using geodesic decomposition curves. To preserve the features during morphing, a process of features assignment is incorporated. By re-sampling the in-between object dynamically and adaptively, the cracks that would occasionally occur during morphing are successfully eliminated. Experiment results show that our algorithms are fast, stable and easy to implement. High-quality morphing is produced