| dc.contributor.author | Schneider, Teseo | en_US |
| dc.contributor.author | Hormann, Kai | en_US |
| dc.contributor.author | Floater, Michael S. | en_US |
| dc.contributor.editor | Yaron Lipman and Hao Zhang | en_US |
| dc.date.accessioned | 2015-02-28T15:51:07Z | |
| dc.date.available | 2015-02-28T15:51:07Z | |
| dc.date.issued | 2013 | en_US |
| dc.identifier.issn | 1467-8659 | en_US |
| dc.identifier.uri | http://dx.doi.org/10.1111/cgf.12180 | en_US |
| dc.description.abstract | We introduce the novel concept of composite barycentric mappings and give theoretical conditions under which they are guaranteed to be bijective. We then focus on mean value mappings and derive a simple procedure for computing their Jacobians, leading to an efficient GPU-assisted implementation for interactively designing composite mean value mappings which are bijective up to pixel resolution. We provide a number of examples of 2D image deformation and an example of 3D shape deformation based on a natural extension of the concept to spatial mappings. | en_US |
| dc.publisher | The Eurographics Association and Blackwell Publishing Ltd. | en_US |
| dc.subject | I.3.3 [Computer Graphics] | en_US |
| dc.subject | Picture/Image Generation | en_US |
| dc.subject | Line and curve generation G.1.1 [Numerical Analysis] | en_US |
| dc.subject | Interpolation | en_US |
| dc.subject | Interpolation formulas | en_US |
| dc.title | Bijective Composite Mean Value Mappings | en_US |
| dc.description.seriesinformation | Computer Graphics Forum | en_US |
