During laser powder bed fusion (PBF-LB), heat accumulations can lead to e.g. annealing colors, increased porosity or protruding edges and are one of the reasons for the necessity of support structures. Using constant manufacturing process parameters, heat accumulations often cannot be avoided due to varying heat dissipation cross sections and gradients. To improve the inner and outer quality of additively manufactured PBF-LB parts it is common practice to separate the parts e.g. into different overhang, contour as well as inner volume areas and optimize the process parameters individually. While high part qualities can be achieved, this practice is very time and material and hence cost consuming. To make conventional parameter optimizations obsolete and simplify the application of PBF-LB, a process control approach to prevent heat accumulations independently of the part geometry and volume for heat dissipation is needed. In this work, the suitability of a temperature map based process control to assure high part qualities independently of the part geometry is analyzed. To do so, coaxial two-channel pyrometric measurements are used to generate spatially and temporally highly resolved temperature maps of each layer during the PBF-LB process. By doing so, heat accumulations can be detected and quantified in-situ. The quantified information regarding the present heat accumulations is then used to locally and automatically adapt the laser power in the following layer. It could be shown that independently of the part geometry uniform temperature maps can be achieved using this temperature map based process control, resulting in high part qualities without additional parameter optimizations.