3D Modelling with <i>C</i><sup>2</sup> Continuous PDE Surface Patches

3D Modelling with <i>C</i><sup>2</sup> Continuous PDE Surface Patches

In this paper, we present a new modelling method to create 3D models. First, characteristic cross section curves are generated and approximated by generalized elliptic curves. Then, a vector-valued sixth-order partial differential equation is proposed, and its closed form solution is derived to crea...

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Bibliographic Details
Main Authors:	Haibin Fu, Shaojun Bian, Ouwen Li, Jon Macey, Andres Iglesias, Ehtzaz Chaudhry, Lihua You, Jian Jun Zhang
Format:	Article
Language:	English
Published:	MDPI AG 2022-01-01
Series:	Mathematics
Subjects:	3D modelling generalized elliptic curves <i>C</i><sup>2</sup> continuity PDE-based surface generation sixth-order PDE analytical mathematical expressions
Online Access:	https://www.mdpi.com/2227-7390/10/3/319

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