Modeling of Freeform Reflecting Surface for LED Device

Abstract

Today the Illumination most promising is the development of LED lighting devices. Therefore, urgent issues is an effective method of describing reflecting surface. In computer graphics recently started using free-form surface based on function disturbances. In this paper, the possibility of modeling freeform reflecting surface using functions disturbances. Freeform surfaces from scalar function disturbances do not require time-consuming for their modeling, regardless of the complexity of the form. The feature of this method is that the surface of that model, the surface should be zero of a function. So having trouble simulations surfaces of revolution. However, this problem can be solved by breaking surface modeling into several parts (patches) so that each point on the base surface meets only one point on the surface of the free-form, and then combining these parts. Methods describe the surface reflectance functions disturbances prefers correction form reflector only required site without changing the whole mathematical model in general. The work performed simulations reflecting surface parabolic form. For the performance of the functions of the disturbances, the surface was divided into two equal parts, which were described by the scalar function disturbances. The next step was the consolidation of reflecting surfaces of two parts one by logical operations.