In this paper, we introudce the notion of the smoothly perfect 8-conntected (SP8C) contour and describe a coding technique for the SP8C contours. Based on the simplificationusing the majority filter proposed by Gu, SP8C contours are restricted on the contour lattice from the segmented image. By noting thating SP8C contours are restricted to travel in only 3 different directions along the contours, we attempt to encode the SP8C contours using the following two techniques. The one is the neighbouring direction segmentcoding, while the other is to employ the notion of the entropy endoding. Computer simulations reveal that the contours can be efficiently encoded by the two technique.