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Variational surface interpolation from sparse point and normal data

Author

Summary, in English

Many visual cues for surface reconstruction from known views are sparse in nature, e.g., specularities, surface silhouettes, and salient features in an otherwise textureless region. Often, these cues are the only information available to an observer. To allow these constraints to be used either in conjunction with dense constraints such as pixel-wise similarity, or alone, we formulate such constraints in a variational framework. We propose a sparse variational constraint in the level set framework, enforcing a surface to pass through a specific point, and a sparse variational constraint on the surface normal along the observed viewing direction, as is the nature of, e.g., specularities. These constraints are capable of reconstructing surfaces from extremely sparse data. The approach has been applied and validated on the shape from specularities problem.

Publishing year

2007

Language

English

Pages

181-184

Publication/Series

IEEE Transactions on Pattern Analysis and Machine Intelligence

Volume

29

Issue

1

Document type

Journal article

Publisher

IEEE - Institute of Electrical and Electronics Engineers Inc.

Topic

  • Mathematics

Keywords

  • surface interpolation
  • multiple view stereo
  • specularities
  • shape from
  • level set method
  • variational methods
  • computer vision

Status

Published

ISBN/ISSN/Other

  • ISSN: 1939-3539