2006•Unpublished venueRequires access

Geometric Property Estimation from 3D Range Data Points Aided by Local Quadric Surface Fitting

Xiaobo Li

Open publisher page 4 citations

Abstract

Geometric property estimation of the scattered point data is a key task in reverse engineering. A common approach is to estimate the local surface geometric properties, such as normal, vectors and curvatures, at each point by locally fitting a low order parametric polynomial surface to a neighborhood of its nearest points. However, existing parametric surface methods do not always achieve satisfactory estimates because of theoretical and practical reasons. Motivated by improving geometric properties estimation we propose a novel approach based on local quadric surface fitting. Experimental results are presented to verify the feasibility of the proposed method.

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What this paper is about

Geometric property estimation of the scattered point data is a key task in reverse engineering. A common approach is to estimate the local surface geometric properties, such as normal, vectors and curvatures, at each point by locally fitting a low order parametric polynomial surface to a neighborhood of its nearest points. However, existing parametric surface methods do not always achieve satisfactory estimates because of theoretical and practical reasons. Motivated by improving geometric properties estimation we propose a novel approach based on local quadric surface fitting. Experimental results are presented to verify the feasibility of the proposed method.

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Available abstract

Geometric property estimation of the scattered point data is a key task in reverse engineering. A common approach is to estimate the local surface geometric properties, such as normal, vectors and curvatures, at each point by locally fitting a low order parametric polynomial surface to a neighborhood of its nearest points. However, existing parametric surface methods do not always achieve satisfactory estimates because of theoretical and practical reasons. Motivated by improving geometric properties estimation we propose a novel approach based on local quadric surface fitting. Experimental results are presented to verify the feasibility of the proposed method.

Key concepts: Quadric, Parametric surface, Parametric statistics, Surface fitting, Surface (topology), Property (philosophy), Range (aeronautics), Parametric equation

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