Skip to main content

3D Modelling with C2 Continuous PDE Surface Patches.

Fu, H., Bian, S., Li, O., Macey, J., Iglesias, A., Chaudhry, E., You, L. and Zhang, J. J., 2022. 3D Modelling with C2 Continuous PDE Surface Patches. Mathematics, 10 (3), 319.

Full text available as:

mathematics-10-00319-v2.pdf - Published Version
Available under License Creative Commons Attribution.


DOI: 10.3390/math10030319


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 create PDE surface patches from cross section curves where two adjacent PDE-surface patches are automatically stitched together. With the approach presented in this paper, C2 continuity between adjacent surface patches is well-maintained. Since surface creation of the model is transformed into the generation of cross sectional curves and few undetermined constants are required to describe cross sectional curves accurately, the proposed approach can save manual operations, reduce information storage, and generate 3D models quickly.

Item Type:Article
Additional Information:(This article belongs to the Special Issue Computer Graphics, Image Processing and Artificial Intelligence)
Uncontrolled Keywords:3D modelling; generalized elliptic curves; C2 continuity; PDE-based surface generation; sixth-order PDE; analytical mathematical expressions
Group:Faculty of Media & Communication
ID Code:36563
Deposited By: Symplectic RT2
Deposited On:01 Feb 2022 09:37
Last Modified:14 Mar 2022 14:32


Downloads per month over past year

More statistics for this item...
Repository Staff Only -