He appealed against his murder conviction on several grounds: that his trial lawyer made errors, the judge admitted prejudicial evidence and failed to explain certain points to the jurors, and that Roper was unfairly prevented from sitting next to his lawyer during the trial.
The Court of Appeal rejected each of the grounds as having no merit.
Roper claimed the judge should not have allowed the jury to know of his attempt to pay a friend $13,000 to claim another person had admitted to the murder.
But the Court said while the evidence was prejudicial, because it was "highly probative of guilt", it was not unfairly prejudicial.
Roper's appeal against sentence claimed his fourteen and a half year non-parole period was unfair and excessive because the judge made factual errors.
The Court of Appeal agreed the judge had made some minor errors in fact, but they did not impact on sentence.
Justices French, Asher and Williams noted that one of the aggravating factors considered in sentencing was that Roper had left Ms Tovizi's body in bed with her sleeping three-year-old son, causing the boy deep trauma and "lasting psychological effects".
"We are satisfied that in all the circumstances the non-parole period imposed by the Judge was within the range available to him."
