Publication detail

3D Image Reconstructions and the Nyquist–Shannon Theorem

FICKER, T. MARTIŠEK, D.

Original Title

3D Image Reconstructions and the Nyquist–Shannon Theorem

English Title

3D Image Reconstructions and the Nyquist–Shannon Theorem

Type

journal article in Web of Science

Language

en

Original Abstract

In the present paper it is shown that the Nyquist frequency is not the only critical limit determining aliasing artefacts but there are some other frequencies that intensify aliasing phenomena and form an infinite set of points at which numerical results abruptly and dramatically change their values. This unusual type of spatial aliasing is explored and some consequences for 3D computer reconstructions are presented.

English abstract

In the present paper it is shown that the Nyquist frequency is not the only critical limit determining aliasing artefacts but there are some other frequencies that intensify aliasing phenomena and form an infinite set of points at which numerical results abruptly and dramatically change their values. This unusual type of spatial aliasing is explored and some consequences for 3D computer reconstructions are presented.

Keywords

3D computations; Fourier’s 3D reconstructions; Nyquist–Shannon sampling theorem; Spatial aliasing

RIV year

2015

Released

02.09.2015

Publisher

Springer-Verlag Berlin Heidelberg 2015

Location

Berlin, Heidelberg

ISBN

2092-6731

Periodical

3D Research

Year of study

6

Number

3

State

DE

Pages from

1

Pages to

18

Pages count

18

URL

http://download.springer.com.ezproxy.lib.vutbr.cz/static/pdf/546/art%253A10.1007%252Fs13319-015-0057-4.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs13319-015-0057-4&token2=exp=1447159831~acl=%2Fstatic%2Fpdf%2F546%2Fart%25253A10.1007%25252Fs13319-015-0057-4.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1007%252Fs13319-015-0057-4*~hmac=bfc5f9399b7d676e4ada6557880af175e83d7b05ff09536b5572d0570e26cb51

Documents

BibTex 


@article{BUT118139,
  author="Tomáš {Ficker} and Dalibor {Martišek}",
  title="3D Image Reconstructions and the Nyquist–Shannon Theorem",
  annote="In the present paper it is shown that the Nyquist frequency is not the only critical limit determining aliasing artefacts but there are some other frequencies that intensify aliasing phenomena and form an infinite set of points at which numerical results abruptly and dramatically change their values. This unusual type of spatial aliasing is explored and some consequences for 3D computer reconstructions are presented.",
  address="Springer-Verlag Berlin Heidelberg 2015",
  chapter="118139",
  doi="10.1007/s13319-015-0057-4",
  howpublished="online",
  institution="Springer-Verlag Berlin Heidelberg 2015",
  number="3",
  volume="6",
  year="2015",
  month="september",
  pages="1--18",
  publisher="Springer-Verlag Berlin Heidelberg 2015",
  type="journal article in Web of Science"
}