document: Topology-adaptive modeling of objects using surface evolutions based on 3D mathematical morphology Level set methods were proposed mainly by mathematicians for constructing a model of a 3D object of arbitrary topology . However , those methods are computationally inefficient due to repeated distance transformations and increased dimensions . In the paper , we propose a new method of modeling fast objects of arbitrary topology by using a surface evolution approach based on mathematical morphology . Given sensor data covering the whole object surface , the method begins with an initial approximation of the object by evolving a closed surface into a model topologically equivalent to the real object . The refined approximation is then performed using energy minimization . The method has been applied in several experiments using range data , and the results are reported in the paper
doc_bio_tags: O O O O O B I O O B I I B I I O O O O O O O O O O O B I O B I O O O O O O O O O O B I I O O O O O O O O O O O O O O O O O O B I O O O O O O O O O O O O O O O O O O O O O O O O O B I O O O O O O O O O O O O O O O O O O O B I O O O O B I O O O O O O O O O O B I O O O O O O O O O
extractive_keyphrases: level set methods surface evolutions 3d mathematical morphology 3d object arbitrary topology repeated distance transformations initial approximation refined approximation energy minimization range data
abstractive_keyphrases: topology-adaptive modeling pseudo curvature flow