Thesis: Image coding using the Derivative Gaussian Transform with Embedded Zerotree Quantization - The Embedded Zerotree quantization method, which was originally designed for the wavelet transform, is a very effective technique for image compression. This research applies this method as part of an algorithm for compression using the Derivative Gaussian transform (DGT). In image encoding, after the DGT, the coefficients are reorganized into a subband structure in which the Zerotree quantizer can be employed. In decoding, the process is reversed. A quantization matrix and quality factor are used in the codec to trade image quality (e.g., in terms of the Peak Signal-to-Noise Ratio (PSNR)) and cost in terms of bits per pixel (bpp).