In this paper we introduce a practical method to evaluate the reflectance of a layered turbid medium with a thin layer, which is not possible with the previous methods based on the diffusion theory. To this end, we employ two different reflectance models simultaneously. One is the newly improved 2-flux model for a thin layer and the other is the diffusion model for a thick layer. To combine the evaluation results from these two different models, we introduce a re-parameterization approach which makes these models compatible with each other. We verify that the proposed method yields robust performance by comparing with the Monte Carlo simulation. We also validate visual results and comparing the rendering time ours with other models.
IntroductionAt the present day, the aesthetic factors of a product that is influenced by geometric shape and surface appearance have had considerable implications for the product purchase of customers. With the reverse engineering (RE) that creates a 3D virtual model from a physical object, the rendering technique that realistically represents the object in a virtual space greatly helps the appearance design that determines the esthetic of the product and facilitates various product designs without manufacture of a mock-up. These techniques are able to reduce the development cost in early stage of product development. .1 describes the overall procedure showing how the geometry and surface appearance of a 3D CAD model in a design step is progress before developing the product. As shown in the figure, a 3D geometry is able to be created through a 3D scanner or CAD tool and an surface appearance on the 3D geometry produced by mathematic modeing or measurement data for optical properties of real materials. The measurement data detecting light transfort in real materials plays a leading role to realistically represent the 3D model, compared to the mathematic modeing such as Phong shading which is difficult to accurately represnet various appearances. The development for the acquisition method and data fitting algorithm which is suitable to meterial property is very important, since most of industrial products such as electrical goods and mechanical products is consists of complex materials including plastics, fiber, metal etc.The object appearance description can be divided two main approaches depending on the surface reflectance propoerty. A bidirectional reflectance distribution function(BRDF) has to be used to represent opacity meterals such as metal, but it can not estimate subsurface scattering of light which is one of properties regarding translucent materials. To represent the translucent materials such as plastic and rubber, more complex reflectance funtion has to be developed. Fig 2. shows a electrical goods consisted of translucent(rubber) and opacity(metal) materials and describes optical property reflected in each materials.In the last stage of a product design, geometric modification and surface appearance editing can be performed according to the development strate...