Resolution Enhancement for Digital Off-Axis Hologram Reconstruction Nazeer Muhammad and Dai-Gyoung Kim Abstract A new method of digital off-axis hologram reconstruction based on the Fresnel transform is proposed. A combination of composite filtering, Abbe’s limitation, and digital lens formulae has been used with an appropriate handling of Fresnel impulse response propagator. A clear image of microscopic object is efficiently reconstructed from hologram using a plane wave with involvement of electric field along bi-cubic interpolation in the final reconstruction step. In particular, the proposed method automatically suppresses the zero order term and virtual image. The image can be reconstructed with large size using interpola- tion scheme with the Haar wavelet. The proposed method facilitates the transverse high resolution of microscopic image, which has better applicability than other ap- proaches. Moreover, the advantages of this method are its simplicity and convenience in data processing. Keywords Bi-cubic interpolation · Digital holography · Fresnel transforms · Lens formula · Microscopy · Wavelet transforms 1 Introduction The idea of recording and reconstructing holograms digitally has been proposed in early studies by Goodman [1]. Digital holography is a novel imaging technique, which uses a charge-coupled device (CCD) camera for hologram recording and a numerical method for hologram reconstruction. With advances in computer perfor- mance and electronic image acquisition devices, digital holography has become more N. Muhammad · D.-G. Kim (B ) Division of Applied Mathematics, the ERICA campus, Hanyang University, Ansan 426-791, South Korea e-mail: nazeer@hanyang.ac.kr D.-G. Kim e-mail: dgkim@hanyang.ac.kr G.-C. Yang et al. (eds.), IAENG Transactions on Engineering Technologies, 431 Lecture Notes in Electrical Engineering 229, DOI: 10.1007/978-94-007-6190-2_33, © Springer Science+Business Media Dordrecht 2013