Accelerating computer-generated holograms (CGHs) is crucial for practical three-dimensional (3D) displays with electro-holography. The authors developed a fast CGH calculation algorithm that focuses on projecting only 3D wireframes because the formulas or algorithms for generating CGH become simpler and, in many cases, the expressivity of the wireframe is sufficient to provide users with all necessary information, such as which direction to move in a car navigation system. In this presentation, we provide an overview of how to accelerate the CGH calculation of wireframe art and discuss our future research directions with respect to the remaining issues.