Proceedings of the conference on Visualization '01
Extracting lines of curvature from noisy point clouds
Computer-Aided Design
A multistep approach to restoration of locally undersampled meshes
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
PCM'10 Proceedings of the Advances in multimedia information processing, and 11th Pacific Rim conference on Multimedia: Part II
SMI 2011: Full Paper: Localized Cocone surface reconstruction
Computers and Graphics
On the shape of a set of points in the plane
IEEE Transactions on Information Theory
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Reconstructing surfaces with data coming from an automatic acquisition technique always entails the problem of mass of data. It leads to a mandatory data reduction process. Applying the process to the whole set of points induces an important risk of surface shrinking so that the initial boundary extraction is an important step permitting a simplification inside it. The global surface shape will then be better kept. It is nevertheless required to simplify the boundary, which can be done on the extracted boundary. In this paper, we present a new method to extract and simplify the boundary of an elevation surface given as voxels in a large 3D volume having the characteristics to be sparse since many data are missing. We first present our boundary definition based on mathematical relations between a point and its square neighborhoods. Second, we introduce algorithms to extract such a boundary. Third, we simplify this boundary.