Under　comparison　of　the　fractal　pattern　and　the　traditional　artistic　pattern,　the　fractal　pattern　is　a　kind　of　the　arts　with　mathematical　characteristics.　Based　on　complex　function　system　and　Julia　set,　the　generation　of　artistic　fractal　patterns　has　been　studied　in　this　paper.　First　of　all,　the　relationship　between　the　fractal　pattern　and　mathematical　morphology　parameters　has　been　discussed;　escape　time　algorithm　was　used　to　generate　artistic　fractal　patterns.　An　actual　fractal　pattern　generation　model　was　established　in　order　to　discuss　the　control　factors.　Thus,　a　computer　program　has　been　developed　to　generate　artistic　fractal　patterns.　Finally,　the　patterns　were　generated　by　the　developed　program　which　could　be　applied　to　the　artistic　pattern　design.　©　2015　Taylor　&　Francis　Group,　London.