Interactive Planarization and Optimization of 3D Meshes
Article first published online: 21 FEB 2013
© 2013 The Authors Computer Graphics Forum © 2013 The Eurographics Association and Blackwell Publishing Ltd.
Computer Graphics Forum
Volume 32, Issue 1, pages 152–163, February 2013
How to Cite
Poranne, R., Ovreiu, E. and Gotsman, C. (2013), Interactive Planarization and Optimization of 3D Meshes. Computer Graphics Forum, 32: 152–163. doi: 10.1111/cgf.12005
- Issue published online: 21 FEB 2013
- Article first published online: 21 FEB 2013
- polyhedral meshes;
- shape optimization
- I.3.5 [Computer Graphics]: Computational Geometry and Object Modelling
Constraining 3D meshes to restricted classes is necessary in architectural and industrial design, but it can be very challenging to manipulate meshes while staying within these classes. Specifically, polyhedral meshes—those having planar faces—are very important, but also notoriously difficult to generate and manipulate efficiently. We describe an interactive method for computing, optimizing and editing polyhedral meshes. Efficiency is achieved thanks to a numerical procedure combining an alternating least-squares approach with the penalty method. This approach is generalized to manipulate other subsets of polyhedral meshes, as defined by a variety of other constraints.