Nonuniform image sampling and interpolation over deformed meshes and its hierarchical extension

Ouseb Lee, Yao Wang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 hierarchical 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.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
PublisherSociety of Photo-Optical Instrumentation Engineers
Pages389-400
Number of pages12
Edition1/-
ISBN (Print)0891418587
StatePublished - 1995
EventVisual Communications and Image Processing '95 - Taipei, Taiwan
Duration: May 24 1995May 26 1995

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Number1/-
Volume2501
ISSN (Print)0277-786X

Other

OtherVisual Communications and Image Processing '95
CityTaipei, Taiwan
Period5/24/955/26/95

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

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