A Geometric Method for Optimal Design of Color Filter Arrays

—A color filter array (CFA) used in a digital camera is a mosaic of spectrally selective filters, which allows only one color component to be sensed at each pixel. The missing two components of each pixel have to be estimated by methods known as demosaicking. The demosaicking algorithm and the CFA design are crucial for the quality of the output images. In this paper, we present a CFA design methodology in the frequency domain. The frequency structure, which is shown to be just the symbolic DFT of the CFA pattern (one period of the CFA), is introduced to represent images sampled with any rectangular CFAs in the frequency domain. Based on the frequency structure, the CFA design involves the solution of a constrained optimization problem that aims at minimizing the demosaicking error. To decrease the number of parameters and speed up the parameter searching, the optimization problem is reformulated as the selection of geometric points on the boundary of a convex polygon or the surfac...

• Type: Journal
• Year: 2011
• Where: TIP
• Authors: Pengwei Hao, Yan Li, Zhouchen Lin, Eric Dubois
• Keywords: CFA Design, CFA Design Methodology, CFA Patterns, TIP 2011