Within this topic, the student will implement several approaches for rendering geometry using signed distance functions (SDFs) and compare their performance. The student will first explore the current state-of-the-art for rendering SDFs. Based on the acquired knowledge, the student will then develop a simple framework based on the NVIDIA OptiX engine and OpenGL for rendering geometry defined by SDFs. This framework will support at least two different approaches for rendering SDFs including (1) a basic raymarching with a direct evaluation of SDFs and (2) a raymarching using precomputed volumetric textures that will be further accelerated via OptiX engine capabilities. In the second part, the student will propose and design several exemplary SDFs, ranging from very simple to very complex ones. These SDFs will be used to compare the performance of the implemented algorithms. The student will compare both the computational performance, as well as the visual quality of different approaches. Within the textual part, the student will describe the mathematical principles necessary for rendering geometry described by SDFs. The manuscript will further provide the implementation details including the OptiX engine explanation. Finally, the discussion of the results with reasoning for possible performance increase (or decrease) when using OptiX engine will be provided.