On Visualisation and Reconstruction from Non-uniform Point Sets

With recent technological advances, non-uniform representations are becoming a crucial factor in acquisition and simulation devices and as such the development of better and more reliable reconstruction and visualization schemes is a necessity. In this paper we present a novel framework for the visualization and reconstruction from non-uniform point sets. We adopt a variational method for the reconstruction of 3D non-uniform data to a uniform grid. We introduce a hybrid regularization functional tuned for our volumetric reconstruction technique and show its impact on improving the reconstruction results. Our reconstruction scheme can be used for reconstructing non-uniform point sets at different resolutions. In addition we propose a two-level multiresolution algorithm for adaptively reconstructing non-uniform representations. Finally we discuss further application scenarios and show rendering results to emphasize the effectiveness and quality of our proposed framework. By means of qualitative results we demonstrate why our method is better and more reliable for handling nonuniform representations.