We derive the fourth-order oriented partial-differential equations (PDEs) for noise removal of two-photon fluorescence images. We consider it from two aspects: one is based on a variational method; the other is based on controlling the diffusion direction. Our filtering model makes the diffusion along only the special orientation—decided via all the information in the established filtering window, so the edges are protected during filtering. Compared with related PDEs models, our model shows superior performance in terms of both objective criteria and subjective human vision via processing simulated and experimental noisy images.
© 2010 Optical Society of America
Original Manuscript: March 12, 2010
Revised Manuscript: June 24, 2010
Manuscript Accepted: July 20, 2010
Published: August 25, 2010
Vol. 5, Iss. 13 Virtual Journal for Biomedical Optics
Yu Wang, Xiangyang Ji, and Qionghai Dai, "Fourth-order oriented partial-differential equations for noise removal of two-photon fluorescence images," Opt. Lett. 35, 2943-2945 (2010)