diff --git a/pytorch3d/loss/mesh_laplacian_smoothing.py b/pytorch3d/loss/mesh_laplacian_smoothing.py
index bdffcd1f5..721979c58 100644
--- a/pytorch3d/loss/mesh_laplacian_smoothing.py
+++ b/pytorch3d/loss/mesh_laplacian_smoothing.py
@@ -108,6 +108,7 @@ def mesh_laplacian_smoothing(meshes, method: str = "uniform"):
                 idx = norm_w > 0
                 norm_w[idx] = 1.0 / norm_w[idx]
             else:
+                L_sum = torch.sparse.sum(L, dim=1).to_dense().view(-1, 1)
                 norm_w = 0.25 * inv_areas
         else:
             raise ValueError("Method should be one of {uniform, cot, cotcurv}")
@@ -117,7 +118,7 @@ def mesh_laplacian_smoothing(meshes, method: str = "uniform"):
     elif method == "cot":
         loss = L.mm(verts_packed) * norm_w - verts_packed
     elif method == "cotcurv":
-        loss = (L.mm(verts_packed) - verts_packed) * norm_w
+        loss = (L.mm(verts_packed) - L_sum*verts_packed) * norm_w
     loss = loss.norm(dim=1)
 
     loss = loss * weights