We report new techniques and theory in computational topology for reconstructing surfaces with boundary. This complements and extends known techniques for surfaces without boundar...
K. Abe, Justin Bisceglio, Thomas J. Peters, Alexan...
We introduce a volumetric space-time technique for the reconstruction of moving and deforming objects from point data. The output of our method is a four-dimensional space-time so...
Andrei Sharf, Dan A. Alcantara, Thomas Lewiner, Ch...
We present an algorithm to identify the flat and tubular regions of a three dimensional shape from its point sample. We consider the distance function to the input point cloud an...
In this paper, we propose to combine Kazhdan’s FFT-based approach to surface reconstruction from oriented points with adaptive subdivision and partition of unity blending techni...
Oliver Schall, Alexander G. Belyaev, Hans-Peter Se...
Manifold reconstruction has been extensively studied for the last decade or so, especially in two and three dimensions. Recent advances in higher dimensions have led to new method...