"Words cant express the solace our family's received from all the love & support during this trying time," the actress tweeted on Saturday. "My father's last words were 'So much wasted time.' This will be a daily reminder for me to share my gratitude with those I love as to never waste another minute….thank you."
The 30-year-old actress had a complicated relationship with her father for most of her life, having been raised by her mother and model Sherry Williams and her stepfather Richard Benedon.
"Because I didn't raise her, I didn't have to parent her," David told PEOPLE in 2009. "I'm always here and totally nonjudgmental. To be able to go to someone I'm genetically linked to, tell them anything and know that they're not going to judge me -- it's unbelievable."
“It’s nice when your dad can be your friend,” Katie echoed her father’s words at the time.
However, the pair drifted apart over the years, and were no longer on speaking terms as of February of this year.
“I wasn’t her father. I was her biological father but I didn’t raise her. She has a completely different life,” David explained. “[But] I’m proud of her. She’s very talented. It’s hard for me to even accept how old she is now.”
The star was hospitalized last weekend for liver and kidney failure. Following his tragic death on Tuesday, his family announced that sad news and thanked fans for their support via a touching statement:
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