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Journal article

Variational Surface Interpolation from Sparse Point and Normal Data

From

Image Analysis and Computer Graphics, Department of Informatics and Mathematical Modeling, Technical University of Denmark1

Department of Informatics and Mathematical Modeling, Technical University of Denmark2

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.

Language: English
Publisher: IEEE
Year: 2007
Pages: 181-184
ISSN: 19393539 , 01628828 and 21609292
Types: Journal article
DOI: 10.1109/TPAMI.2007.250610
ORCIDs: Aanæs, Henrik

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