A New QEM for Parametrization of Raster Images
Xuetao Yin, John Femiani, Peter Wonka, Anshuman Razdan
In Computer Graphics Forum, 30(8), December 2011.
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.
Keyword(s): image parametrization, image vectorization, decimation, quadric error metrics
@article{Yin:2011:ANQ,
author = {Xuetao Yin and John Femiani and Peter Wonka and Anshuman Razdan},
title = {A New QEM for Parametrization of Raster Images},
journal = {Computer Graphics Forum},
volume = {30},
number = {8},
pages = {2440--2451},
month = dec,
year = {2011},
}
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