Image-based 3D modeling via Cheeger sets

  • Authors:
  • Eno Töppe;Martin R. Oswald;Daniel Cremers;Carsten Rother

  • Affiliations:
  • Technische Universität München, Germany and Mircosoft Research, Cambridge, UK;Technische Universität München, Germany;Technische Universität München, Germany;Mircosoft Research, Cambridge, UK

  • Venue:
  • ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part I
  • Year:
  • 2010

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Abstract

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.