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　alpha　r,　where　alpha　is　a　tunable　parameter.　We　find　that　there　exists　an　optimal　value　of　alpha　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　alpha　decreases　as　the　absolute　velocity　increases,　while　it　increases　as　the　outer　radius　r　and　the　system　size　increase.　For　a　fixed　value　of　alpha,　direction　consensus　is　enhanced　when　the　absolute　velocity　is　small,　the　outer　radius　or　the　system　size　is　large.　(C)　2015　Elsevier　B.V.　All　rights　reserved.