Abstract
The paper proposes a new environment matting algorithm to model the appearance of transparent object under different background. The frequency-domain analysis is used as the basis to compute the relationship between the area of foreground object and background image. Meanwhile, the Kaczmarz method is applied to obtain more accurate weight matrix. The compositing quality increases if the iteration number of projection increases, however, the consuming time is proportional to the iteration number. We will show that the proposed algorithm can maintain the quality even the high threshold is set to reduce the iteration.The experimental results show that our algorithm can effectively improve the quality of compositing picture and has higher PSNR than previous method, either from the visual evaluation or PSNR table. Besides, we also demonstrate the compositing results by applying the computed lighting model to a video sequence with moving, rotating, and scaling the foreground object.