Paper
21 April 1995 Nonuniform image sampling and interpolation over deformed meshes and its hierarchical extension
Ouseb Lee, Yao Wang
Author Affiliations +
Proceedings Volume 2501, Visual Communications and Image Processing '95; (1995) https://doi.org/10.1117/12.206745
Event: Visual Communications and Image Processing '95, 1995, Taipei, Taiwan
Abstract
To improve the reconstructed image quality with a given number of sampling points, nonuniform sampling is desired which adapts the sampling density according to the local bandwidth of the signal. Determination of optimal sampling positions and interpolation from nonuniform samples through the use of a coordinate mapping which converts nonuniform samples into points on a regular sampling lattice. We then introduce a nonuniform sampling scheme which embeds the samples in a generally deformed mesh structure that can be easily mapped to a regular sampling lattice. The optimal samples or the mesh is generated by minimizing the interpolation error. The numerical difficulty associated with dealing with nonuniform samples are circumvented by mapping all the operations to the master domain where the samples are uniformly distributed. With this scheme, in order to maintain the mesh topology, unnecessary nodes are usually allocated in large but smooth regions. For an improved sampling efficiency, a hierarchial nonuniform sampling scheme is also developed. Which embeds the samples in a generalized quadtree structure. Compared to its nonhierarchical counterpart, this scheme can reduce the numbers of samples significantly, under the same visual quality constraint.
© (1995) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Ouseb Lee and Yao Wang "Nonuniform image sampling and interpolation over deformed meshes and its hierarchical extension", Proc. SPIE 2501, Visual Communications and Image Processing '95, (21 April 1995); https://doi.org/10.1117/12.206745
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CITATIONS
Cited by 6 scholarly publications and 2 patents.
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KEYWORDS
Sinc filters

Error analysis

Visualization

Linear filtering

Nonuniform sampling

Convolution

Chlorine

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