The factors involved in wrongful convictions include but may not be limited to:
1. Official misconduct (by police and/or prosecutor; rarely the judge)
2. False or misleading forensic evidence
3. Perjury or false accusation
4. Mistaken witness identification
5. False confession
6. Inadequate legal defense
(I borrowed this list from the National Registry of Exonerations:
http://www.law.umich.edu/special/exoneration/Pages/browse.aspx)
Increasing the safety of convictions would seem to require efforts to improve reliability or checks and balances in each of these six factors.
In some ways, improving forensics seems relatively easy, because there should be scientific procedures to judge reliability and technical means for improvement. LCN DNA profiling is generally not accepted in the US, AFAIK.
To combat official misconduct, approaches may include open prosecution case files to prevent violations of
Brady (discovery) and perhaps an "Inspector General of Prosecutions" or conviction reliability officer covering each jurisdiction (or group of jurisdictions).
There are techniques for improving witness IDs, relating to police procedures.
To fight against false confessions, the usual suggestion is to video record all police interrogation of suspects, rather than confessions only. In light of recent possible cases of unjustified use of force by police, video recording of all police interaction with suspects or arrestees would be appropriate.
There is room for improvement in the public defender or court appointed defender programs in a number of US jurisdictions.