TY - JOUR
AU1 - Kaur, Jaspreet
AU2 - Goyal, Meenu
AB - In the given note, we present the generalization of Bézier curves depending upon the parameter α\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\alpha $$\end{document}, named as α-\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\alpha -$$\end{document}Bézier curves. Also, we introduce tensor product α-\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\alpha -$$\end{document}Bézier surfaces. We study some properties and degree elevation of these curves and surfaces. In the end, we show that the parameter provides us the flexibility to modify the curves as well as surfaces. To present it, we give some numerical examples with the help of Matlab.
TI - On α-\documentclass[12pt]{minimal}				\usepackage{amsmath}				\usepackage{wasysym}				\usepackage{amsfonts}				\usepackage{amssymb}				\usepackage{amsbsy}				\usepackage{mathrsfs}				\usepackage{upgreek}				\setlength{\oddsidemargin}{-69pt}				\begin{document}$$\alpha -$$\end{document}Bézier curves and surfaces
JF - Bollettino dell Unione Matematica Italiana
DO - 10.1007/s40574-022-00341-9
DA - 2023-09-01
UR - https://www.deepdyve.com/lp/springer-journals/on-documentclass-12pt-minimal-usepackage-amsmath-usepackage-wasysym-Ax0hOqC4OY
SP - 459
EP - 470
VL - 16
IS - 3
DP - DeepDyve
ER -