A solder bump structure includes a pillar formed on an electrode pad. The pillar has a concave curve-shaped surface and a geometry defined at least in part by dimensions including a first height greater than a first width. The solder bump structure further includes solder formed on the concave curve-shaped surface of the pillar. The solder has a convex top surface and having dimensions including a second height greater than a second width due to the geometry of the pillar.