We present four new epochs of K _ { \mathrm { s } } -band images of the young pre-transitional disk around LkCa 15 , and perform extensive forward modeling to derive the physical parameters of the disk . We find indications of strongly anisotropic scattering ( Henyey-Greenstein g = 0.67 ^ { +0.18 } _ { -0.11 } ) and a significantly tapered gap edge ( ‘ round wall ’ ) , but see no evidence that the inner disk , whose existence is predicted by the spectral energy distribution , shadows the outer regions of the disk visible in our images . We marginally confirm the existence of an offset between the disk center and the star along the line of nodes ; however , the magnitude of this offset ( x = 27 _ { -20 } ^ { +19 } mas ) is notably lower than that found in our earlier H -band images \citep paper1 . Intriguingly , we also find , at high significance , an offset of y = 69 ^ { +49 } _ { -25 } mas perpendicular to the line of nodes . If confirmed by future observations , this would imply a highly elliptical — or otherwise asymmetric — disk gap with an effective eccentricity of e \approx 0.3 . Such asymmetry would most likely be the result of dynamical sculpting by one or more unseen planets in the system . Finally , we find that the bright arc of scattered light we see in direct imaging observations originates from the near side of the disk , and appears brighter than the far side because of strong forward scattering .