The computation of traveltimes from a velocity function is required in many seismic processing and modeling schemes—in particular Kirchhoff depth migration and related methods. One of the most popular methods uses the eikonal equation, whose derivation goes back to the work of Pythagoras about 2500 years ago.

Pythagoras, the Greek philosopher and mathematician, was born on the small island of Samos in the Aegean Sea about 570 BCE, a century before the golden age of classical Greece. He founded a philosophical and religious society in Croton on the east coast of the tip of Italy about 532 BCE. His closest...

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