On the bandwidth of the plenoptic function

Minh N. Do, Davy Marchand-Maillet, Martin Vetterli

Research output: Contribution to journalArticlepeer-review

Abstract

The plenoptic function (POF) provides a powerful conceptual tool for describing a number of problems in image/video processing, vision, and graphics. For example, image-based rendering is shown as sampling and interpolation of the POF. In such applications, it is important to characterize the bandwidth of the POF. We study a simple but representative model of the scene where band-limited signals (e.g., texture images) are painted on smooth surfaces (e.g., of objects or walls). We show that, in general, the POF is not band limited unless the surfaces are flat. We then derive simple rules to estimate the essential bandwidth of the POF for this model. Our analysis reveals that, in addition to the maximum and minimum depths and the maximum frequency of painted signals, the bandwidth of the POF also depends on the maximum surface slope. With a unifying formalism based on multidimensional signal processing, we can verify several key results in POF processing, such as induced filtering in space and depth-corrected interpolation, and quantify the necessary sampling rates.

Original languageEnglish (US)
Article number5978219
Pages (from-to)708-717
Number of pages10
JournalIEEE Transactions on Image Processing
Volume21
Issue number2
DOIs
StatePublished - Feb 2012

Keywords

  • Bandwidth
  • image-based rendering (IBR)
  • plenoptic function (POF)
  • sampling
  • spectral analysis

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design
  • Software

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