Geometric Feature Estimators for Noisy Discrete Surfaces
نویسندگان
چکیده
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.
منابع مشابه
Bayes Estimation for a Simple Step-stress Model with Type-I Censored Data from the Geometric Distribution
This paper focuses on a Bayes inference model for a simple step-stress life test using Type-I censored sample in a discrete set-up. Assuming the failure times at each stress level are geometrically distributed, the Bayes estimation problem of the parameters of interest is investigated in the both of point and interval approaches. To derive the Bayesian point estimators, some various balanced lo...
متن کاملM-estimators as GMM for Stable Laws Discretizations
This paper is devoted to "Some Discrete Distributions Generated by Standard Stable Densities" (in short, Discrete Stable Densities). The large-sample properties of M-estimators as obtained by the "Generalized Method of Moments" (GMM) are discussed for such distributions. Some corollaries are proposed. Moreover, using the respective results we demonstrate the large-sample pro...
متن کاملOn the Local Properties of Digital Curves
We propose a geometric approach to extract local properties of digital curves. This approach uses the notion of blurred segment 1 that extends the definition of segment of arithmetic discrete line to adapte to noisy curves. A curvature estimator 3 for 2D curves in O(n log n) time is proposed relying on this flexible approach. The notion of 2D blurred segment is extended to 3D space. A decomposi...
متن کاملL2 and pointwise a posteriori error estimates for FEM for elliptic PDEs on surfaces
Surface Finite Element Methods (SFEM) are widely used to solve surface partial differential equations arising in applications including crystal growth, fluid mechanics and computer graphics. A posteriori error estimators are computable measures of the error and are used to implement adaptive mesh refinement. Previous studies of a posteriori error estimation in SFEM have mainly focused on boundi...
متن کاملMultigrid convergence of discrete geometric estimators
The analysis of digital shapes require tools to determine accurately their geometric characteristics. Their boundary is by essence discrete and is seen by continuous geometry as a jagged continuous curve, either straight or not derivable. Discrete geometric estimators are specific tools designed to determine geometric information on such curves. We present here global geometric estimators of ar...
متن کامل