Lindsay Lohan Deserved Judge's Rage?

Sources close to Lindsay tell TMZ, she gets why Judge Sautner was pissed -- admitting she didn't follow Sautner's previous instructions to the T.

We're told Lindsay has internalized Sautner's admonitions -- and is taking the entire experience today as one big warning that she needs to get her act together, stat.

As a result, we're told Lindsay will be visiting the morgue tomorrow to get started on her community service. In fact, Lindsay says she's so serious about impressing the judge ... we're told she has promised to go to the morgue every day between now and her next hearing on November 2.

We're told Lindsay gets the message -- and doesn't harbor any bad feelings toward Sautner for taking a hard line.