Fig. 1. Conventional boundary encoding and decoding

Fig. 2. Structure of binary space. (a) State is true; (b) state is false

Fig. 3. Principle of binary space decoding

Fig. 4. Direction of binary space

Fig. 5. Experimental equipment

Fig. 6. Experimental scene

Fig. 7. Comparison of line extracting results. (a) Original scene ;(b) conventional decoding algorithm; (c) binary space decoding algorithm

Fig. 8. Line matching results of proposed algorithm. (a) Boundary line in left view; (b) boundary line in right view

Fig. 9. Reconstruction of 3D scenes. (a) Scene 1; (b)scene 2; (c) scene 3; (d) complete scene