Detail publikačního výsledku

3D Image Reconstructions and the Nyquist–Shannon Theorem

FICKER, T.; MARTIŠEK, D.

Originální název

3D Image Reconstructions and the Nyquist–Shannon Theorem

Anglický název

3D Image Reconstructions and the Nyquist–Shannon Theorem

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

FICKER, T.; MARTIŠEK, D.

Rok RIV

2016

Vydáno

02.09.2015

Nakladatel

Springer-Verlag Berlin Heidelberg 2015

Místo

Berlin, Heidelberg

ISSN

2092-6731

Periodikum

3D Research

Svazek

6

Číslo

3

Stát

Spolková republika Německo

Strany od

1

Strany do

18

Strany počet

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

BibTex

@article{BUT118139,
  author="Tomáš {Ficker} and Dalibor {Martišek}",
  title="3D Image Reconstructions and the Nyquist–Shannon Theorem",
  journal="3D Research",
  year="2015",
  volume="6",
  number="3",
  pages="1--18",
  doi="10.1007/s13319-015-0057-4",
  issn="2092-6731",
  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"
}