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We give a uniform bound of the bounded geodesic image theorem for the closedoriented surfaces. The proof utilizes the bicorn curves introduced by Przytyckiand Sisto (see arXiv:1502.02176). With the uniformly bounded Hausdorff distanceof the bicorn paths and 1-slimness of the bicorn curve triangles, we are ableto show the bound is 44 for both non-annular and annular subsurfaces. In aparticular case when the distance between a geodesic and an essential boundarycomponent of subsurface (or core if it is annular) is $\geq 18$, then the boundcan be as small as 3, which is comparable to the bound 4 in the motivatingexamples by Masur and Minsky (see arXiv:9807150), and is same as the boundgiven by Webb for non-annular subsurfaces.

Bounded geodesic image theorem via bicorn curves