@article{scholars15997, volume = {320}, note = {cited By 0}, doi = {10.1007/978-981-15-8606-4{$_6$}}, title = {C1 Surface Interpolation Using Quartic Rational Triangular Patches}, year = {2021}, journal = {Studies in Systems, Decision and Control}, publisher = {Springer Science and Business Media Deutschland GmbH}, pages = {89--99}, abstract = {A version of quartic rational triangular patches is used to C1 construct a surface comprising two composite triangles. Like previous scheme such as cubic Ball and cubic B{\~A}{\copyright}zier, they have no free parameter that can be adjusted for surface interpolant. Thus, our proposed method has three free shape parameters, {\^I}{$\pm$}, {\^I}2, and {\^I}3. This study shows the comparison of the three methods{\^a}??quartic rational, cubic Ball and cubic B{\~A}{\copyright}zier triangular patches. To validate the performances, the error measurement used are root mean square errors (RMSE), maximum error and Central Processing Unit (CPU) times. Besides that, we also made a comparison between C1 and G1 continuity. Based on the results, the proposed scheme is better than the three previous schemes in terms of a smaller value of RMSE, and maximum error. Meanwhile, G1 continuity gives less computation rather than C1. {\^A}{\copyright} 2021, The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85093839198&doi=10.1007\%2f978-981-15-8606-4\%5f6&partnerID=40&md5=9e2444b800fa117ab8e6a07d4f97f754}, issn = {21984182}, author = {Draman, N. N. C. and Karim, S. A. A. and Hashim, I.} }