A New QEM for Parametrization of Raster Images

作者：Yin Xuetao^*; Femiani John; Wonka Peter; Razdan Anshuman

来源：Computer Graphics Forum, 2011, 30(8): 2440-2451.

DOI：10.1111/j.1467-8659.2011.02071.x

• image parametrization
• image vectorization
• decimation
• quadric error metrics

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.

• 出版日期2011-12