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C.S. Fahn, J.F. Wang, J.Y. Lee, "An Adaptive Reduction Procedure for the Piecewise Linear Approximation of Digitized Curves," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 11, no. 9, pp. 967973, September, 1989.  
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@article{ 10.1109/34.35499, author = {C.S. Fahn and J.F. Wang and J.Y. Lee}, title = {An Adaptive Reduction Procedure for the Piecewise Linear Approximation of Digitized Curves}, journal ={IEEE Transactions on Pattern Analysis and Machine Intelligence}, volume = {11}, number = {9}, issn = {01628828}, year = {1989}, pages = {967973}, doi = {http://doi.ieeecomputersociety.org/10.1109/34.35499}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }  
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TY  JOUR JO  IEEE Transactions on Pattern Analysis and Machine Intelligence TI  An Adaptive Reduction Procedure for the Piecewise Linear Approximation of Digitized Curves IS  9 SN  01628828 SP967 EP973 EPD  967973 A1  C.S. Fahn, A1  J.F. Wang, A1  J.Y. Lee, PY  1989 KW  2D digitised curves; computerised picture processing; adaptive reduction; piecewise linear approximation; square grid; time complexity; critical points; computational complexity; computerised picture processing VL  11 JA  IEEE Transactions on Pattern Analysis and Machine Intelligence ER   
A new algorithm is presented for the piecewise linear approximation of twodimensional digitized curves against a square grid. The algorithm utilizes an adaptive reduction procedure in two approximation phases to select the critical points of a digitized curve such that the deviation, from the digitized curve to its final approximated curve, is bounded by a uniform error tolerance. The time complexity of this algorithm is O(m/sup 2/) rather than O(n/sup 2/) on the theoretical plane. In the experiments of fixing the initial and the final processing points, the performance of the algorithm has been compared to those of three prominent other algorithms regarding the required number of critical points and the total execution time of the program. Of the four algorithms compared, the present algorithm consistently has the shortest execution time of the program, and it tends most to require as few critical points as the optimum algorithm that was tested.
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