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  2. Self-similarity for accurate compression of point sampled surfaces

Self-similarity for accurate compression of point sampled surfaces

This paper is the result of a collaboration with LIRIS Laboratory members Julie Digne and Raphaëlle Chaine

Abstract

Most surfaces, be it from a fine-art artifact or a mechanical object, are characterized by a strong self-similarity. This property finds its source in the natural structures of objects but also in the fabrication processes: regularity of the sculpting technique, or machine tool. In this paper, we propose to exploit the self-similarity of the underlying shapes for compressing point cloud surfaces which can contain millions of points at a very high precision. Our approach locally resamples the point cloud in order to highlight the self-similarity of the shape, while remaining consistent with the original shape and the scanner precision. It then uses this self-similarity to create an ad hoc dictionary on which the local neighborhoods will be sparsely represented, thus allowing for a light-weight representation of the total surface. We demonstrate the validity of our approach on several point clouds from fine- arts and mechanical objects, as well as a urban scene. In addition, we show that our approach also achieves a filtering of noise whose magnitude is smaller than the scanner precision.

Figure : the Lovers of Bordeaux point cloud (15.8 million points). Exploiting self-similarity in the model DIGN-14, we compress this representation down to 1.15 MB. The resulting model (right) is very close to the original one (left), as the reconstruction error is less than the laser scanner precision (0.02mm) for 99.14% of the input points.

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