In this paper we derive a sampling theorem, which is the first one to guarantee topology preservation during digitization of 3D objects. This new theorem is applicable to several ...
In a previous paper [1] we showed that a 3D object can be digitized without changing the topology if the object is r-regular and if the reconstruction method fulfills certain requ...
— Digitization is not as easy as it looks. If one digitizes a 3D object even with a dense sampling grid, the reconstructed digital object may have topological distortions and in ...
Peer Stelldinger, Longin Jan Latecki, Marcelo Siqu...
—We present a new 3D reconstruction pipeline for digital preservation of natural and cultural assets. This application requires high quality results, making time and space constr...
Alexandre Vrubel, Olga Regina Pereira Bellon, Luci...
Connectivity and neighborhood are fundamental topological properties of objects in pictures. Since the input for any image analysis algorithm is a digital image, which does not ne...