Simultaneous measurement of the rotation and traslation of an object in the plane using phase information of a radial grid
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Universidad Santo Tomás. Seccional Bucaramanga
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En este artículo se presenta una estrategia que permite determinar de forma simultánea la posición y orientación de un objeto en el plano. El método consiste en analizar un sistema de franjas radiales adherido al objeto y por medio de procesamiento digital de imágenes determinar su fase. Este proceso requiere determinar con precisión subpixel las coordenadas del centro y el eje radial de las franjas. Se emplea el método de la Transformada de Fourier y se realiza la transformación de coordenadas rectangulares a radiales se puede calcular la fase y el centro del sistema de franjas. De esta manera, la fase del sistema de franjas radiales se utiliza como elemento codificador para la medida de posiciones angulares y posiciones del objeto en el plano. Evaluaciones experimentales demuestran que la técnica desarrollada tiene precisión sub-pixel al evaluar desplazamientos y rotaciones de un objeto en el plano. Se evalúa el error introducido en el cálculo de posición angular y desplazamiento del objeto. El estudio de la influencia de los parámetros del sistema de franjas radiales permitió establecer que el tamaño y la cantidad de franjas son factores determinantes para que el método presente un mínimo error.
This paper presents a strategy that allows to determine the position and orientation of an object in a plane. The method consists of analyzing a system of radial fringes adhered to the object and by means of a digital image process to determine its phase. This process requires the coordinates of the center with sub-pixel accuracy and the radial axis of the fringes. Using the Fourier transform method and performing a transformation of coordinate systems from rectangular coordinate into radial, it can be calculated the phase of fringe system and the center of the radial fringes. Thus, the phase of the radial fringes is used as an encoder for measuring angular positions and spatial positions of the object in the plane. Experimental evaluations show that the technique developed has sub-pixel accuracy in evaluating displacements and rotations of an object in the plane. It is evaluated the error introduced in the calculation of angular position and displacement of the object. The study of the influence of system parameters of radial fringes let to establish that the size and number of fringes are determining factors for the present method in order to reduce the error.
This paper presents a strategy that allows to determine the position and orientation of an object in a plane. The method consists of analyzing a system of radial fringes adhered to the object and by means of a digital image process to determine its phase. This process requires the coordinates of the center with sub-pixel accuracy and the radial axis of the fringes. Using the Fourier transform method and performing a transformation of coordinate systems from rectangular coordinate into radial, it can be calculated the phase of fringe system and the center of the radial fringes. Thus, the phase of the radial fringes is used as an encoder for measuring angular positions and spatial positions of the object in the plane. Experimental evaluations show that the technique developed has sub-pixel accuracy in evaluating displacements and rotations of an object in the plane. It is evaluated the error introduced in the calculation of angular position and displacement of the object. The study of the influence of system parameters of radial fringes let to establish that the size and number of fringes are determining factors for the present method in order to reduce the error.
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Phase extraction, Optical metrology, Digital image processing, Extracción de fase, Metrología óptica, Procesamiento digital de imágenes
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