The data show an excerpt of the data obtained from experimental investigations of the freezing process of supercooled water droplets close to a solid wall, performed in subproject C3. The dendritic freezing of supercooled water drops (dataset 1) and the propagation of thin ice layer prior to dendritic freezing of supercooled water drops (dataset 2) both entrapped in a Hele-Shaw cell has been captured with a high spatial and temporal resolution using high-speed video imaging. Information concerning the experimental setup and method is found in the aforementioned publication. Information concerning the temporal and spatial resolution can be obtained from the time stamp and scale in the videos.