  The discovery of a high-energy cosmic neutrino flux has paved the way for the
field of neutrino astronomy. For a large part of the flux, the sources remain
unidentified. The KM3NeT detector, which is under construction in the
Mediterranean sea, is designed to determine their origin. KM3NeT will
instrument a cubic kilometre of seawater with photomultiplier tubes that detect
Cherenkov radiation from neutrino interaction products with nanosecond
precision. For single cascade event signatures, KM3NeT already showed that it
can reach degree-level resolutions, greatly increasing the use of these
neutrinos for astronomy. In this contribution, we further refine the cascade
reconstruction by making a more detailed model of the neutrinos events and
including additional information on the hit times. The arrival time of light
can be used to improve the identification of double cascade signatures from tau
neutrinos, and the angular resolution of both single and double cascade
signatures. Sub-degree resolution is achieved in both cases.
