We　study　the　collective　motion　of　self-propelled　agents　with　the　restricted　view.　The　field　of　view　of　each　agent　is　an　annulus　bounded　by　the　outer　radius　r　and　inner　radius　αr,　where　α　is　a　tunable　parameter.　We　find　that　there　exists　an　optimal　value　of　α　leading　to　the　highest　degree　of　direction　consensus.　This　phenomenon　indicates　that　there　exists　superfluous　communication　in　the　collective　motion　of　self-propelled　agents　and　short-range　interactions　hinder　the　direction　consensus　of　the　system.　The　value　of　optimal　α　decreases　as　the　absolute　velocity　increases,　while　it　increases　as　the　outer　radius　r　and　the　system　size　increase.　For　a　fixed　value　of　α,　direction　consensus　is　enhanced　when　the　absolute　velocity　is　small,　the　outer　radius　or　the　system　size　is　large.　©2015　Elsevier　B.V.　All　rights　reserved.