Modified Point-by-Point Method with Reflected Lighting Components

P. Rungadoolpisan and T. Kulworawanichpong (Thailand)

Keywords

pointbypoint method, illuminance, specular reflection

Abstract

This paper presents mathematical modelling and computer simulation of interior lighting systems. The point-by-point method is modified to include room surface reflectance to achieve more computational accuracy. The reflection of room surfaces added to this calculation is a specular-typed reflection and is considered only the first reflected lighting components. By employing the method of geometrical optics with the inverse square law, a set of nonlinear equations is created. In this paper, Newton-Raphson iterative method is used to find solutions. To illustrate the usefulness of the proposed method, a test-case geometry of a room dimension with 4.0 m × 4.0 m × 4.0 m is used for simulation. The results show that the proposed method can improve accuracy of the direct point-by-point method.

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