A novel smoothness-based interpolation algorithm for division of focal plane Polarimeters

Abstract

In this paper, we present a novel smoothness-based interpolation algorithm for the division of focal plane Polarimeters (DoFP). By calculating the divided blocks' variance that represents their local smoothness, the proposed algorithm well-balances between the traditional bilinear and bicubic interpolation algorithms. In addition, compared with the previously reported gradient-based interpolation algorithm which only indicates the image's directional change along 0°, 90°, 45° and 135°, the presented smoothness-based algorithm covers the variations along all the possible directions, leading to more accurate selection between the bilinear and bicubic algorithms. According to our extensive simulation results, the proposed implementation exhibits the lowest mean square error (MSE) for the test images among all the previously reported algorithms, including bilinear, bicubic and gradient-based interpolation algorithms.