"This was quite simply, one-on-one interactive pornography. This was not me broadcasting a show on a Web site, showing myself to the world," he said. "Never my face, never my name and if it happened -- excuse the pun -- a handful of times, that's it. I do not have a pornography habit. I ... it was coincidental with a very painful time in my life."
Cook says he has not logged onto any Internet pornography sites since the breakup.
Cook does not believe his failings as a husband translate into failing as a father. He says the trial wasn't about money, as he had signed a prenuptial agreement; it was only about the importance of his role in his children's lives and Brinkley's attempt to limit his access to them.
"They've got a mom who loves them and they've got a dad who loves them and I think that's the most important thing," Cook said.
Brinkley stated during a news conference that the trial could not be avoided. She said "a mother's greatest fear is someone trying to take away your children."
"Parenting is a partnership," Cook told Walters. "I carried the greater percentage of the burden of that partnership. I was more apt to be the one to be there, just because I am in my nature, a doer."
When asked about Brinkley's role in the day-to-day life of the children, Cook said she was "not as involved as ... as myself. Generally it was my role to wake up with the kids, to get them started for the school day."
"He just was an amazing dad," said Shauna Hunter, the family's former nanny. "They always wanted to be with him. He did everything for his children and really loved them. He was their everything."
The couple reached a settlement before Cook's lawyers presented his case. Brinkley has sole custody of the children, and Cook was given significant parenting time in the summer and visitation rights.
"The first opportunity I was given to have [the trial] stop, I took it," he said. Even though he emerged from the trial "bloodied," Cook said he was satisfied.
"Of course I would have liked more, but I'm very happy that I can play as meaningful a role in my children's lives as I do. I have my children 40 percent of the year," Cook said.
With the dark days of the trial behind him, Cook says life is looking a lot sunnier. He has found a new love in Suzanne Shaw, who is a single mother and whom he's introduced to his children.
"The trial is over and she's in our lives so they've become more comfortable with her and understand that she's not trying to take over for mom," Cook said. "They also know she had nothing to do with what happened."
Cook sees his future as all smiles.
"I have no choice but to be healthy, happy and prosperous because that's what best for my children."
These days Cook wears a bracelet with the poignant inscription, "I am what I am." Cook says he is a human being that makes mistakes, but above all he is a good father.
"I think it's critical for them to have their father in their lives, to know how much I love them," he said. "How I'll always be able to turn to my children and say, I did everything. ... I sacrificed my reputation. ... I did it because I wanted to see my children. I wanted to be in their lives."