Visual reconstruction with adaptive and arbitrarily oriented meshes

Surface reconstruction and visualization from sparse and incomplete surface data is a fundamental problem and has received growing attention in both computer vision and graphics. The paper introduces a novel approach to recovering and visualizing complex shapes from range data, in which a surface of unknown shape is reconstructed with view-invariant characteristics on arbitrary viewplanes from sparsely sampled surface range data so that the entire surface can be visualized from any view points with constant. The authors develop a graphical reconstruction model based on differential geometry using adaptive and arbitrarily oriented meshes, in which the number of surface nodes is generated dynamically on an active viewing plane and then increased in number and influence one another until the entire surface has been interpolated with a sufficient accuracy. The computation results on real range data of human faces are shown