---
OA_type: closed access
_id: '3693'
abstract:
- lang: eng
  text: Gaussian filtering in one, two or three dimensions is among the most commonly
    needed tasks in signal and image processing. Finite impulse response filters in
    the time domain with Gaussian masks are easy to implement in either floating or
    fixed point arithmetic, because Gaussian kernels are strictly positive and bounded.
    But these implementations are slow for large images or kernels. With the recursive
    IIR-filters and FFT-based methods, there are at least two alternative methods
    to perform Gaussian filtering in a faster way, but so far they are only applicable
    when floating-point hardware is available. In this paper, a fixed-point implementation
    of recursive Gaussian filtering is discussed and applied to isotropic and anisotropic
    image filtering by making use of a non-orthogonal separation scheme of the Gaussian
    filter.
article_processing_charge: No
author:
- first_name: Christoph
  full_name: Lampert, Christoph
  id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
  last_name: Lampert
  orcid: 0000-0001-8622-7887
- first_name: Oliver
  full_name: Wirjadi, Oliver
  last_name: Wirjadi
citation:
  ama: 'Lampert C, Wirjadi O. Anisotropic Gaussian filtering using fixed point arithmetic.
    In: <i>2006 International Conference on Image Processing</i>. IEEE; 2006:1565-1568.
    doi:<a href="https://doi.org/10.1109/ICIP.2006.312606">10.1109/ICIP.2006.312606</a>'
  apa: 'Lampert, C., &#38; Wirjadi, O. (2006). Anisotropic Gaussian filtering using
    fixed point arithmetic. In <i>2006 International Conference on Image Processing</i>
    (pp. 1565–1568). Atlanta, GA, United States: IEEE. <a href="https://doi.org/10.1109/ICIP.2006.312606">https://doi.org/10.1109/ICIP.2006.312606</a>'
  chicago: Lampert, Christoph, and Oliver Wirjadi. “Anisotropic Gaussian Filtering
    Using Fixed Point Arithmetic.” In <i>2006 International Conference on Image Processing</i>,
    1565–68. IEEE, 2006. <a href="https://doi.org/10.1109/ICIP.2006.312606">https://doi.org/10.1109/ICIP.2006.312606</a>.
  ieee: C. Lampert and O. Wirjadi, “Anisotropic Gaussian filtering using fixed point
    arithmetic,” in <i>2006 International Conference on Image Processing</i>, Atlanta,
    GA, United States, 2006, pp. 1565–1568.
  ista: 'Lampert C, Wirjadi O. 2006. Anisotropic Gaussian filtering using fixed point
    arithmetic. 2006 International Conference on Image Processing. ICIP: IEEE International
    Conference on Image Processing, 1565–1568.'
  mla: Lampert, Christoph, and Oliver Wirjadi. “Anisotropic Gaussian Filtering Using
    Fixed Point Arithmetic.” <i>2006 International Conference on Image Processing</i>,
    IEEE, 2006, pp. 1565–68, doi:<a href="https://doi.org/10.1109/ICIP.2006.312606">10.1109/ICIP.2006.312606</a>.
  short: C. Lampert, O. Wirjadi, in:, 2006 International Conference on Image Processing,
    IEEE, 2006, pp. 1565–1568.
conference:
  end_date: 2006-10-11
  location: Atlanta, GA, United States
  name: 'ICIP: IEEE International Conference on Image Processing'
  start_date: 2006-10-08
date_created: 2018-12-11T12:04:39Z
date_published: 2006-10-08T00:00:00Z
date_updated: 2026-08-27T12:54:05Z
day: '08'
doi: 10.1109/ICIP.2006.312606
extern: '1'
fulldoi: https://doi.org/10.1109/ICIP.2006.312606
language:
- iso: eng
month: '10'
oa_version: None
page: 1565 - 1568
publication: 2006 International Conference on Image Processing
publication_identifier:
  eissn:
  - 2381-8549
  isbn:
  - '1424404800'
  issn:
  - 1522-4880
publication_status: published
publisher: IEEE
publist_id: '2670'
status: public
title: Anisotropic Gaussian filtering using fixed point arithmetic
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2006'
...
