No wonder Justin Hamilton can shoot again. He can actually see the basket.

Hamilton’s 16 points were a rare positive in Sunday’s loss to the Sixers. The backup big man was 2-of-4 from beyond the 3-point arc, and has hit 8-of-14 (57.1 percent) over his last four games. It’s no coincidence it follows him changing his contact lenses over the Christmas break.

“I just started noticing when I was getting the migraines and we were trying to figure out what was going on. We figured out it was my vision,’’ said Hamilton, who missed five straight games Dec. 10-18. “We were trying to get the right prescription. Right after the [Dec. 23] Cleveland game. Christmas Eve I got finally the right prescription for both eyes.”

Hamilton wasn’t with the team Dec. 10 in San Antonio because of what was diagnosed as migraines, then didn’t play the next four. But it turns out the problem was a poor prescription, first reported by YES.

“I couldn’t see anything. It was blurry. I can see close, but further away the board right there, I couldn’t read the board,’’ said Hamilton, 8-of-31 from deep in his six games before the change.

“Not really sure [why] it kind of just switched. I was fine using that the last year-and-a-half. Then I don’t know if my eyes changed or something, it just kind if happened. So I was luckily able to figure that out and it wasn’t something worse. So it was kind of an easy fix, and I’ve kind of gone from there.”

Starting power forward Trevor Booker logged 18:17, but was temporarily forced out of the game after aggravating a hip injury suffered Jan. 2 versus Utah. He left 2:53 into the third quarter but came back with 4:36 to play and hopes to play Tuesday.

“Just a little sore hip coming into the game, and then I fell on it, made it worse,’’ said Booker, out during much of the Sixers’ pivotal 30-9 run. “It was pretty tender. I just fell on it. I think it’s just like a bone bruise. I don’t think it’s anything serious.”

Spencer Dinwiddie found out Saturday his contract is guaranteed through the rest of the season. Another $50,000 is guaranteed if he participates in summer league/conditioning, and if he is on the roster next Oct. 31 another $250,000 guaranteed.

“My agent probably called me around 6:30. But Twitter kind of told me first, to be honest. They were all like, ‘Yo, dang, he didn’t get cut.’ I was like man, can we be, like, enthusiastic?” Dinwiddie said. “But it is what it is on that front. My agent was like you worked hard to get here, they like you, just keep doing what you’re doing, go in every day, keep working, and just try to establish yourself in the league.”

Sean Kilpatrick’s recent struggles (turnovers, shooting woes) may be more mental than mechanical.

“Sometimes it’s confidence,” coach Kenny Atkinson said. “Sean may be doubting himself a little.”

The Sixers are scouting Long Island Nets point guard Yogi Ferrell, according to multiple reports.