Application　of　Fractal　geometry　theory,　Fractal　patterns　can　get　some　special　lines　and　shapes.　Comparison　of　Fractal　pattern　and　the　traditional　pattern,　the　Fractal　pattern　is　a　highly　visual　aesthetic　image.　In　this　paper,　based　on　the　theory　of　Julia　sets,　the　generation　of　Fractal　patterns　has　been　studied.　First　of　all,　the　relationship　between　the　Fractal　pattern　and　mathematical　morphology　parameters　has　been　discussed,　escape　time　algorithm　is　used　to　generate　Fractal　patterns.　Then,　based　on　the　different　power　orders　of　the　Julia　sets,　a　computer　program　has　been　development　to　generate　Fractal　patterns.　Finally,　the　patterns　which　are　generated　by　the　developed　program　can　be　applied　to　the　highly　visual　aesthetic　Fractal　pattern　design.　©　2014　Taylor　&　Francis　Group.