Is rebirth/reincarnation central to Buddhism? Would you characterize belief in rebirth as a central component of Buddhism?

Are there Buddhists who do not believe in it?

How is this concept understood, i.e., what does rebirth mean (in as much detail as possible) to a Buddhist?
There are two concepts here. We pass away every moment and arise every minutes. Other is rebirth after death. Rebirth is partly a belief but much of the Dhamma should be realised at experiential level. What is much needed is that at the last moment is that you maintain equanimity so you do not take a new birth. The level of stillness can be achived only by a fully accomplished person who has complete mastery over the mind and cognitive process. The aim is to develop this. Generally Buddhist take rebirth at face value but belief in this is not necessary to practice Buddhism as the emphasis is to realise the truth through ones own experience. Your experience re-enforces your belief.