The most surprising achievement of “Alita: Battle Angel,” a (mostly) live action version of a story that was originally a cyberpunk manga series of graphic novels and then an anime feature, is that somehow producer James Cameron and director Robert Rodriguez managed to make the main characters anime-style eyes a lot less weird than I expected.

The title character (Rosa Salazar Rosa Salazar) is a young female cyborg with Keane-style manga eyes, so the uncanny valley risk of her look being distracting and disorienting. But it turned out to be easy to adjust to it and almost immediately I was immersed in the dazzling world of the film and caught up in the action. Cameron (“Terminator,” “Avatar,” “Titanic”) and Rodriguez (“Sin City,” “Desperado,” “From Dusk til Dawn”) are both visual masters. The world they have created is immersive and wildly imaginative and the action scenes are staged are dynamic and compelling. There’s heart to it as well, with an appealing heroine who brings us along with her as she sorts through the moral quandaries of this brutal environment, showing herself more human than the humans.

It takes place in a post-apocalyptic world in which the reduced population of Earth lives on what is essentially a planet-sized junk pile. A small group of wealthy elites live on a city suspended above earth like a gigantic Macy’s Thanksgiving parade balloon, as in the Matt Damon film “Elysium.” Everyone else just scrounges, scrambles, or battles for whatever they can.

Dr. Dyson Ido (Christoph Waltz) does what he can to help, replacing damaged body parts with sophisticated mechanical prostheses, many of the parts found through scavenging. Searching through rubble one day he finds a mangled treasure, the head and part of the torso of a cyborg girl. He brings her home and gives her arms and legs that look like they are made of delicately carved antique ivory. Their relationship recalls Geppetto and Pinocchio. He is the fond father of an adopted child that is very much his own creation. And as we will learn, the reason he had those lovingly prostheses ready is that he created them for a child who died before he could help her. Alita may be his second chance.

But Alita is not a little girl. As her memory comes back slowly, she becomes the warrior she was designed to be. She remembers her fighting skills first. Then some of the other details of her past begin to come back. She remembers that she fights and how she fights and something of why she fights though she is not as clear on where she came from or what her place is in the world.

A man named Vector (Mahershala Ali) and his physician colleague Cherin (Jennifer Connelly) run a lethal high-speed roller derby that is a “Hunger Games”-style form of Darwinian survival of the fittest entertainment and commerce — and a cover for some less public but more deadly activities. The other major economic enterprise of this society seems to be bounty hunting (including characters played by Ed Skrein and Jackie Earle Haley) and chop shops for mechanical prostheses. One person involved is Hugo (Keean Johnson), who has to re-think what he has been doing when he finds himself falling for someone he might not have considered human before he looked into those big, big eyes.

Parents should know that this movie includes extended sci-fi/fantasy peril, action, and violence, many characters injured and killed, disturbing images, guns, chases, explosions, some strong language, and kisses.

Family discussion: What does Dr. Ido want for Alita? Why did Chiren respond so differently to the death of her daughter?

If you like this, try: The “Star Wars” movies, “Speed Racer,” and “Jupiter Ascending”