Samsung will sell two versions of its next flagship phone, one of which has a screen that curves round its sides.
The Galaxy S6 Edge uses the feature to provide a quick way to stay in touch with select contacts, and to alert owners to important information.
It will be sold for a higher price than the standard S6, which otherwise has the same specifications.
Samsung lost market share to Apple and others after the S5 sold fewer copies than its predecessor in many countries.
Its replacements were unveiled in Barcelona, ahead of the start of Mobile World Congress. They go on sale on 10 April in 20 countries.
Samsung says the two phones feature a 64-bit processor it designed to be both more powerful and energy efficient than before.
The South Korean firm said it had set out to address past “missteps”, and had codenamed the devices “project zero” to reflect the need for a rethink.
Changes include making the TouchWiz user interface simpler to use by cutting the number of pop-up messages and introducing a metal frame and glass back instead of the plastic styling of earlier models.
The redesign has, however, meant some features have had to be jettisoned: the phones are not water-resistant, they do not have a microSD slot for extra storage and their backs cannot be removed to change their batteries.