High dynamic range (HDR) imaging has been an important research-area in computer graphics and image processing in the past decades. With the increasing interest in lightfield (LF) capturing and rendering, the need for HDR imaging methods tailored towards LF-data becomes more relevant. To use HDR images on a standard display, the dynamic range of the HDR image is required to be compressed, to match the dynamic range supported by the display in a process known as tonemapping. This thesis is centred around the tonemapping aspect of HDR imaging in the context of LF rendering. Existing tonemapping operators (TMOs) are examined and analysed in regards to their suitability in the context of LF rendering. To accomplish this goal, a LF rendering system capable rendering of sparse HDR-LFs in real-time has been developed. The differing ways in which three existing TMOs may be applied to HDR-data in such a LF rendering system are studied. This study is focussed on which modifications can be considered to better adapt the existing TMOs to the requirements of LF rendering. Lastly, a novel processing method for HDR-LFs has been devised based on results and insights obtained from the above analysis.