This work was supported by the projects 20-02154S and 17-07690S of the Czech
Science Foundation and SGS-2019-016 of the Czech Ministry of Education.Polygonal mesh sequences with variable connectivity are incredibly versatile dynamic surface representations as they allow a surface to change topology or details
to suddenly appear or disappear. This, however, comes at the cost of large storage size. Current compression methods inefficiently exploit the temporal coherence
of general data because the correspondences between two subsequent frames might
not be bijective. We study the current state of the art including the special class of
mesh sequences for which connectivity is static. We also focus on the state of the
art of a related field of dynamic point cloud sequences. Further, we point out parts
of the compression pipeline with the possibility of improvement. We present the
progress we have already made in designing a temporal model capturing the temporal coherence of the sequence, and point out to directions for a future research
