Surface reconstruction amendment to the intrinsic sampling method

Surface sampling and the intrinsic Voronoi diagram

We develop adaptive sampling criteria which guarantee a topologically faithful mesh and demonstrate an improvement and simplification over earlier results, albeit restricted to 2D surfaces. These sampling criteria are based on functions defined by intrinsic properties of the surface: the strong convexity radius and the injectivity radius. We establish inequalities that relate these functions to...

A Sampling of Surface Reconstruction

A Sampling of Surface Reconstruction Techniques

Surface Reconstruction through Poisson Disk Sampling

This paper intends to generate the approximate Voronoi diagram in the geodesic metric for some unbiased samples selected from original points. The mesh model of seeds is then constructed on basis of the Voronoi diagram. Rather than constructing the Voronoi diagram for all original points, the proposed strategy is to run around the obstacle that the geodesic distances among neighboring points ar...

Elastic Scatterer Reconstruction via the Regularized Sampling Method

A three-dimensional inverse problem dealing with the reconstruction of cavities in a uniform semi-infinite solid from surface elastodynamic waveforms is investigated via the linear sampling method. To cater for active imaging applications that are often characterized by a limited density of illuminating sources, the existing near-field formulation of the linear sampling method is advanced in te...