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A Discrete Version of Green's Theorem
March 1982 (vol. 4 no. 3)
pp. 242-249
| ASCII Text | x | ||
| Gregory Y. Tang, "A Discrete Version of Green's Theorem," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 4, no. 3, pp. 242-249, March, 1982. | |||
| BibTex | x | ||
| @article{ 10.1109/TPAMI.1982.4767241, author = {Gregory Y. Tang}, title = {A Discrete Version of Green's Theorem}, journal ={IEEE Transactions on Pattern Analysis and Machine Intelligence}, volume = {4}, number = {3}, issn = {0162-8828}, year = {1982}, pages = {242-249}, doi = {http://doi.ieeecomputersociety.org/10.1109/TPAMI.1982.4767241}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, } | |||
| RefWorks Procite/RefMan/Endnote | x | ||
| TY - JOUR JO - IEEE Transactions on Pattern Analysis and Machine Intelligence TI - A Discrete Version of Green's Theorem IS - 3 SN - 0162-8828 SP242 EP249 EPD - 242-249 A1 - Gregory Y. Tang, PY - 1982 VL - 4 JA - IEEE Transactions on Pattern Analysis and Machine Intelligence ER - | |||
We formulate a discrete version of Green's theorem such that a summation of a two-dimensional function over a discrete region can be evaluated by the use of a summation over its discrete boundary. In many cases, the discrete Green theorem can result in computational gain. Applications of the discrete Green theorem to several typical image processing problems are demonstrated. We also apply it to analyze shapes of particle aggregates of Fe2O3. Experimental results of the shape study are presented.
Citation:
Gregory Y. Tang, "A Discrete Version of Green's Theorem," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 4, no. 3, pp. 242-249, March 1982, doi:10.1109/TPAMI.1982.4767241
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