Geometric Feature Estimators for Noisy Discrete Surfaces

Abstract

Abstract. We present in this paper robust geometric feature estimators on the border of a possibly noisy discrete object. We introduce the notion of patch centered at a point of this border. Thanks to a width parameter, attached to a patch, the noise on the border of the discrete object can be considered, and an extended flat neighborhood of a border point is computed. Stable geometric features are then extracted around this point. A normal vector estimator is proposed as well as a detector of convex and concave parts on the border of a discrete object.

3D noisy discrete objects: Segmentation and application to smoothing

“…Relying on this primitive, we present the notion of a width-ν patch centered at a border point of a discrete object and some features of the border obtained from this patch. More details about the construction of the patch and the study of different features of the border can be found in [14].…”

“…The method is presented in section 2. In section 3, after recalling the definition of blurred pieces of discrete planes, we summarize results from [14] about geometric features for noisy discrete surfaces. The different steps of the segmentation process are then described in section 4, followed by some results on synthesized 3D noisy and real objects.…”

Segmentation of Noisy Discrete Surfaces

“…In section 2, after recalling the definition of blurred pieces of discrete planes, we summarize results from [11] about geometric features for noisy discrete surfaces. The different steps of the segmentation process are then described in section 3, followed by some results on noisy and non-noisy objects.…”

“…Relying on this primitive, we present the notion of a width-ν patch centered at a border point of a discrete objet and some features of the border obtained from this patch. More details about the construction of the patch and the study of different features of the border can be found in [11].…”