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A multi-layer CNN-based algorithm to find the most likely road boundaries on camera images is proposed for the possible application to autonomous vehicle driving. In the previous study, the Dynamic Programming (DP) is shown to be implemented with the multi-layer CNN. If the road-edge images are treated as the space variant distance weights, the optimal path finding algorithm of CNN-based DP can detect the optimal road boundary. Partly disconnected boundary line segments of roads could be linked by way of the most likely road boundary line segments. Fast processing speed is another advantage of the proposed CNN-based structure if it is implemented with hardware circuits. Simulation results about various different road images are included.