While debates about the use of A.I. take center stage across the entertainment industry, the technology has been quietly assisting animation and visual effects crews for years. It had made some of the most astonishing visual images possible when artisans have been asked to do what was previously thought impossible.

When helmer Peter Sohn wanted characters based on the elements of fire, water, air and earth for his new film “Elemental,” VFX supervisor Sanjay Bakshi and his team at Pixar looked to A.I. to make the process smoother. The look of the characters depended on adjustments that would align them with Sohn’s vision.

“We used A.I. for a very specific kind of problem, and we used a machine learning algorithm called neural style transfer,” says Bakshi. “Our animation is so highly scrutinized. We go through so many review cycles for every shot and the animators are...