Bojan Bogdanovic’s shooting — and his swagger — both took a step up when he got entrusted with a starting role late last season, and both went to another level as he starred at this summer’s Olympics.

Now the Nets are hoping their sweet-shooting Croatian wing can bring that red-hot form back from Rio and carry it over to Brooklyn.

“[The difference is] just his confidence, no question,’’ center Brook Lopez said of Bogdanovic, who participated in his first scrimmage of training camp on Tuesday. “That’s something we absolutely need him to show in this side.

“He’s obviously shown it in EuroLeague and in the Olympics. We need him to continue the same level of play, come out here, be confident and be that Olympic, EuroLeague self on the floor with us as well. He’s out there bodying guys, doing his thing; and we believe he can do that here as well.”

Bogdanovic will join Lopez as the only other full-time starter back from last season’s horrid 21-61 campaign. And if the Nets are going to improve on that terrible record this time around, Bogdanovic is going to have to keep trending upward.

His 25.3 points per game in Rio were the best by any Olympian in the past 20 years, and his 19.2 player efficiency rating was fourth this summer behind just Kevin Durant, Pau Gasol and Lithuania’s Mantas Kalnietis.

Players often come off a hot Olympics with a strong start to the season, their conditioning further along than that of their foes. Bogdanovic said he hopes to see the same.

“I hope I’ll bring that shape from the Olympics here in the beginning of the season and during the season,’’ Bogdanovic said. “I rest like three or four weeks, so I lost a little bit of my shape, but right now I’m in good shape. I really tried to take care of my body. I hope that I will be the same.”

Brooklyn has taken great pains to take care of Bogdanovic’s body as well. After a grueling summer that included weeks of training in Zagreb with new Nets assistant Chris Fleming, then Olympic qualifying and finally the Rio games, he arrived at camp in the best physical condition of his career.

“They showed me right away how it’s going to be this season,’’ Bogdanovic said. “Chris spent two weeks over there with me, practicing, doing my workouts over there with my personal coach. … It was nice for him to be over there with me in my country.”

Now that Bogdanovic is back stateside, the Nets have made it a point to give him a break and ease him into things, keeping him out of any scrimmages until Tuesday.

“I had a busy summer,’’ Bogdanovic said. “I didn’t rest after the season — 20 or 15 days and I started practicing right away with my personal trainer to be in shape for pre-Olympic tournament. I had three or four weeks after the Olympic games, so I came here, got many treatments.

“They’re trying to put me on the court slowly. This is the first day that I participated in a scrimmage. They know how to do it, and I’ll go day by day, slowly.”

The Nets have a 6-foot-8 shooter who can play shooting guard, small forward or even in a pinch, power forward as he did a few times late last year. Bogdanovic’s 3-point shooting spiked from 32 percent to 42 when Tony Brown’s motion offense replaced Lionel Hollins’ plodding style. His scoring vaulted from 10.4 ppg to 15.2 after Joe Johnson’s departure.

Can he keep trending upward?

“I was pleased. He moved well, obviously his shooting is a big help,’’ coach Kenny Atkinson said. “He’s a little behind with what we’re doing [as a team], obviously. We kind of understand that. But I love his size at the wing position. I love how he shoots it. He’s an intelligent player, so he did a pretty good job, I thought. I was very pleased with his scrimmage.”