### Abstract

We present an image processing method that converts a raster image to a simplical two-complex which has only a small number of vertices (base mesh) plus a parametrization that maps each pixel in the original image to a combination of the barycentric coordinates of the triangle it is finally mapped into. Such a conversion of a raster image into a base mesh plus parametrization can be useful for many applications such as segmentation, image retargeting, multi-resolution editing with arbitrary topologies, edge preserving smoothing, compression, etc. The goal of the algorithm is to produce a base mesh such that it has a small colour distortion as well as high shape fairness, and a parametrization that is globally continuous visually and numerically. Inspired by multi-resolution adaptive parametrization of surfaces and quadric error metric, the algorithm converts pixels in the image to a dense triangle mesh and performs error-bounded simplification jointly considering geometry and colour. The eliminated vertices are projected to an existing face. The implementation is iterative and stops when it reaches a prescribed error threshold. The algorithm is feature-sensitive, i.e. salient feature edges in the images are preserved where possible and it takes colour into account thereby producing a better quality triangulation.

Original language | English (US) |
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Pages (from-to) | 2440-2451 |

Number of pages | 12 |

Journal | Computer Graphics Forum |

Volume | 30 |

Issue number | 8 |

DOIs | |

State | Published - Dec 2011 |

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### Keywords

- Decimation
- Image parametrization
- Image vectorization
- Quadric error metrics

### ASJC Scopus subject areas

- Computer Graphics and Computer-Aided Design

### Cite this

*Computer Graphics Forum*,

*30*(8), 2440-2451. https://doi.org/10.1111/j.1467-8659.2011.02071.x