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## Monotone data modeling using rational functions

#### ZOHA TARIQ [1] , FARHEEN IBRAHEEM [2] , MALIK ZAWWAR HUSSAIN [3] , MUHAMMAD SARFRAZ [4]

Rational schemes for shape preservation of monotone data both in 2D and 3D setups have been developed. $C^1$ rational cubic and partially blended bicubic functions are employed for this purpose. Monotonicity is achieved by extracting constraints on parameters involved in the description of these rational functions. Monotone curves and surfaces have been obtained, which provide evidence that the algorithm used fits most types of monotone data and produces visually pleasing results.
Monotone data, shape preservation, rational functions
Journal Section Articles Author: ZOHA TARIQ Author: FARHEEN IBRAHEEM Author: MALIK ZAWWAR HUSSAIN Author: MUHAMMAD SARFRAZ Publication Date : June 1, 2019
 Bibtex @ { tbtkelektrik577582, journal = {Turkish Journal of Electrical Engineering and Computer Science}, issn = {1300-0632}, eissn = {1303-6203}, address = {}, publisher = {TUBITAK}, year = {2019}, volume = {27}, pages = {2331 - 2343}, doi = {}, title = {Monotone data modeling using rational functions}, key = {cite}, author = {TARIQ, ZOHA and IBRAHEEM, FARHEEN and HUSSAIN, MALIK ZAWWAR and SARFRAZ, MUHAMMAD} } APA TARIQ, Z , IBRAHEEM, F , HUSSAIN, M , SARFRAZ, M . (2019). Monotone data modeling using rational functions. Turkish Journal of Electrical Engineering and Computer Science , 27 (3) , 2331-2343 . Retrieved from https://dergipark.org.tr/en/pub/tbtkelektrik/issue/45742/577582 MLA TARIQ, Z , IBRAHEEM, F , HUSSAIN, M , SARFRAZ, M . "Monotone data modeling using rational functions". Turkish Journal of Electrical Engineering and Computer Science 27 (2019 ): 2331-2343 Chicago TARIQ, Z , IBRAHEEM, F , HUSSAIN, M , SARFRAZ, M . "Monotone data modeling using rational functions". Turkish Journal of Electrical Engineering and Computer Science 27 (2019 ): 2331-2343 RIS TY - JOUR T1 - Monotone data modeling using rational functions AU - ZOHA TARIQ , FARHEEN IBRAHEEM , MALIK ZAWWAR HUSSAIN , MUHAMMAD SARFRAZ Y1 - 2019 PY - 2019 N1 - DO - T2 - Turkish Journal of Electrical Engineering and Computer Science JF - Journal JO - JOR SP - 2331 EP - 2343 VL - 27 IS - 3 SN - 1300-0632-1303-6203 M3 - UR - Y2 - 2019 ER - EndNote %0 Turkish Journal of Electrical Engineering and Computer Science Monotone data modeling using rational functions %A ZOHA TARIQ , FARHEEN IBRAHEEM , MALIK ZAWWAR HUSSAIN , MUHAMMAD SARFRAZ %T Monotone data modeling using rational functions %D 2019 %J Turkish Journal of Electrical Engineering and Computer Science %P 1300-0632-1303-6203 %V 27 %N 3 %R %U ISNAD TARIQ, ZOHA , IBRAHEEM, FARHEEN , HUSSAIN, MALIK ZAWWAR , SARFRAZ, MUHAMMAD . "Monotone data modeling using rational functions". Turkish Journal of Electrical Engineering and Computer Science 27 / 3 (June 2019): 2331-2343 . AMA TARIQ Z , IBRAHEEM F , HUSSAIN M , SARFRAZ M . Monotone data modeling using rational functions. Turkish Journal of Electrical Engineering and Computer Science. 2019; 27(3): 2331-2343. Vancouver TARIQ Z , IBRAHEEM F , HUSSAIN M , SARFRAZ M . Monotone data modeling using rational functions. Turkish Journal of Electrical Engineering and Computer Science. 2019; 27(3): 2343-2331.