1. Introduction 1.1. Overview of Digital Holography 1.2. Digital Holography System 2. Fundamental Principles of Digital Holography 2.1. Optical Theory 2.1.1. Interference 2.1.2. Diffraction 2.2. Computer Generated Hologram 2.2.1. Object Models 2.2.2. Mathematical Models 2.2.3. Speed-up Models 2.3. Representation of Digital Holographic Data 2.3.1. Intensity of Hologram 2.3.2. Complex Amplitude 3. Compression of Still Digital Holographic Data 3.1. Lossless Compression 3.1.1. Huffman Encoding 3.1.2. Lempel-Ziv Encoding 3.1.3. Burrows-Wheeler Encoding 3.2. Lossy Compression 3.2.1. Quality Evaluation Criteria 3.2.2. Quantization 3.2.3. Transform based Coding 3.2.4. 3D Scanning based Compression 3.2.5. Still Image Coding Standard-based Compression 4. Compression of Digital Holographic Sequences 4.1. Video Coding Standard-based Compression 4.1.1. MPEG-4 ASP 4.1.2. H.264/AVC 4.1.3. HEVC 4.2. Hybrid Compression 4.2.1. 3D Scanning based Compression 4.2.2. Vector lifting Scheme based Compression 5. Conclusions sakriti opis