Symmetry-Aware Template Deformation and Fitting
Article first published online: 20 MAR 2014
© 2014 The Authors Computer Graphics Forum © 2014 The Eurographics Association and John Wiley & Sons Ltd.
Computer Graphics Forum
Volume 33, Issue 6, pages 205–219, September 2014
How to Cite
Kurz, C., Wu, X., Wand, M., Thormählen, T., Kohli, P. and Seidel, H.-P. (2014), Symmetry-Aware Template Deformation and Fitting. Computer Graphics Forum, 33: 205–219. doi: 10.1111/cgf.12344
- Issue published online: 25 SEP 2014
- Article first published online: 20 MAR 2014
- Max Planck Center for Visual Computing and Communication. Grant Number: BMBF-FKZ01IMC01
- Software Campus. Grant Number: BMBF-FKZ01IS2055
- mesh deformation;
- template fitting;
- deformable ICP;
- I.3.5 [Computer Graphics]: Computational Geometry and Object Modelling; I.2.10 [Artificial Intelligence]: Vision and Scene Understanding
In this paper, we propose a new method for reconstructing 3D models from a noisy and incomplete 3D scan and a coarse template model. The main idea is to maintain characteristic high-level features of the template that remain unchanged for different variants of the same type of object. As invariants, we chose the partial symmetry structure of the template model under Euclidian transformations, i.e. we maintain the algebraic structure of all reflections, rotations and translations that map the object partially to itself. We propose an optimization scheme that maintains continuous and discrete symmetry properties of this kind while registering a template against scan data using a deformable iterative closest points (ICP) framework with thin-plate-spline regularization. We apply our new deformation approach to a large number of example data sets and demonstrate that symmetry-guided template matching often yields much more plausible reconstructions than previous variants of ICP.