Image-based 3D modeling via cheeger sets

TitleImage-based 3D modeling via cheeger sets
Publication TypeConference Paper
Year of Publication2011
AuthorsTöppe, E, Oswald, MR, Cremers, D, Rother, C
Conference NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
ISBN Number9783642193149

We propose a novel variational formulation for generating 3D models of objects from a single view. Based on a few user scribbles in an image, the algorithm automatically extracts the object silhouette and subsequently determines a 3D volume by minimizing the weighted surface area for a fixed user-specified volume. The respective energy can be efficiently minimized by means of convex relaxation techniques, leading to visually pleasing smooth surfaces within a matter of seconds. In contrast to existing techniques for single-view reconstruction, the proposed method is based on an implicit surface representation and a transparent optimality criterion, assuring high-quality 3D models of arbitrary topology with a minimum of user input. © 2011 Springer-Verlag Berlin Heidelberg.

Citation KeyToppe2011