As far as US dogwood trees there are 2 I know of, C. florida(flowering dogwood), C. alternafolia(alternate leaf dogwood). Cornus alternafolia has a smooth bark, flowering dogwood bark is what you posted. The other US dogwoods are shrub type dogwood(ie. red osier, silky dogwood, gray dogwood, rough leaf dogwood, etc) or even a ground cover type, C. canadensis(bunchberry) native to the Southern Canada and ajoining states from Maryland to the NW US.