Understanding the world around us begins with observation, and imaging is one of the main observation tools. In the frame of this proposal, we intend to investigate a novel concept of indirect imaging which combines two well-established imaging methods; digital holography and phase aperture imaging. The main goal of the research is to develop new imaging systems that have superior imaging capabilities over the existing systems. Following our investigation, the properties that can be improved are the image resolving power, the immunity from inherent noise, the capability to see through scattering media and observe four-dimensional scenes (three dimensions of space plus the fourth spectral dimension). Furthermore, the new imaging models can be implemented in many devices like microscopes, telescopes, endoscopes, and other imaging systems. Hence, the research can contribute to several different scientific fields like biology, biomedicine, material science, and astronomy.