ALEXANDRIA, Va., Dec. 9 -- United States Patent no. 12,493,293, issued on Dec. 9, was assigned to DENSO Corp. (Kariya, Japan) and Waymo LLC (Mountain View, Calif.).

"Multi-dimensional extended trajectory planning with changing dimensionality based on horizon steps" was invented by Maxim Likhachev (Pittsburgh), Ellis Ratner (Oakland, Calif.), Lu Lyu (Medford, Mass.), Abhinav Srinivas Sai Kiran Kunapareddy (Sunnyvale, Calif.), Savio Joseph Pereira (Blacksburg, Va.), Jonathan Michael Butzke (Pittsburgh), Yunfei Xu (Milpitas, Calif.), Takashi Bando (Mountain View, Calif.) and Akihito Iwai (San Jose, Calif.).

According to the abstract* released by the U.S. Patent & Trademark Office: "A multi-dimensional trajectory planning system is disclosed ...