3-D geometry reconstruction using a color image stereo pair and partial differential equations

[EN] In this work, we present a new model for a dense disparity estimation and the 3-D geometry reconstruction using a color image stereo pair. First, we present a brief introduction to the 3-D Geometry of a camera system. Next, we propose a new model for the disparity estimation based on an energy functional. We look for the local minima of the energy using the associate Euler-Langrage partial differential equations. This model is a generalization to color image of the model developed in, with some changes in the strategy to avoid the irrelevant local minima. We present some numerical experiences of 3-D reconstruction, using this method some real stereo pairs.

Dense disparity map estimation respecting image discontinuities

[EN] We present an energy based approach to estimate a dense disparity map from a set of two weakly calibrated stereoscopic images while preserving its discontinuities resulting from image boundaries. We first derive a simplified expression for the disparity that allows us to estimate it from a stereo pair of images using an energy minimization approach. We assume that the epipolar geometry is known, and we include this information in the energy model. Discontinuities are preserved by means of a regularization term based on the Nagel-Enkelmann operator. We investigate the associated Euler-Lagrange equation of the energy functional, and we approach the solution of the underlying partial differential equation (PDE) using a gradient descent method The resulting parabolic problem has a unique solution. In order to reduce the risk to be trapped within some irrelevant local minima during the iterations, we use a focusing strategy based on a linear scalespace. Experimental results on both synthetic and real images arere presented to illustrate the capabilities of this PDE and scale-space based method.

Epigrafía digital: tecnología 3D de bajo coste para la digitalización de inscripciones y su acceso desde ordenadores y dispositivos móviles

[ES] Se analizan las posibilidades del Image based modeling (IBM), como técnica de escaneado 3D de bajo coste para la modelización de inscripciones romanas, a partir del trabajo realizado en el Museo Arqueológico Nacional de Madrid sobre una amplia tipología de soportes epigráficos (piedra, bronce, arcilla), con resultados óptimos para la catalogación, estudio y difusión de este tipo de documentación histórica. Los resultados obtenidos permiten obtener inscripciones romanas en 3D que se pueden incorporar a los proyectos de epigrafía digital en curso, permitiendo su acceso a través de ordenadores y dispositivos móviles, sin coste añadido para los investigadores.