Why the Perona-Malik filter works:
Abstract: "Although the widely-used Perona-Malik filter is regarded as ill-posed, straightforward implementations are often surprisingly stable. We give an explanation for this effect by applying a discrete nonlinear scale-space framework: a spatial discretization on a fixed pixel grid gives a...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
København
1997
|
| Schriftenreihe: | Datalogisk Institut <København>: DIKU-Rapport
1997,22 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "Although the widely-used Perona-Malik filter is regarded as ill-posed, straightforward implementations are often surprisingly stable. We give an explanation for this effect by applying a discrete nonlinear scale-space framework: a spatial discretization on a fixed pixel grid gives a well-posed scale-space with many image-simplifying properties, and an explicit time discretization leads to a scheme which does not introduce additional oscillations. This explains why staircasing is essentially the only practically appearing instability." |
| Beschreibung: | 9 S. |
Internformat
MARC
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| 100 | 1 | |a Weickert, Joachim |d 1965- |e Verfasser |0 (DE-588)118052411 |4 aut | |
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| 490 | 1 | |a Datalogisk Institut <København>: DIKU-Rapport |v 1997,22 | |
| 520 | 3 | |a Abstract: "Although the widely-used Perona-Malik filter is regarded as ill-posed, straightforward implementations are often surprisingly stable. We give an explanation for this effect by applying a discrete nonlinear scale-space framework: a spatial discretization on a fixed pixel grid gives a well-posed scale-space with many image-simplifying properties, and an explicit time discretization leads to a scheme which does not introduce additional oscillations. This explains why staircasing is essentially the only practically appearing instability." | |
| 650 | 4 | |a Differential equations, Partial | |
| 650 | 4 | |a Digital filters (Mathematics) | |
| 650 | 4 | |a Image processing | |
| 700 | 1 | |a Benhamouda, Brahim |e Verfasser |4 aut | |
| 830 | 0 | |a Datalogisk Institut <København>: DIKU-Rapport |v 1997,22 |w (DE-604)BV010011493 |9 1997,22 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-008248558 | ||
Datensatz im Suchindex
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| author | Weickert, Joachim 1965- Benhamouda, Brahim |
| author_GND | (DE-588)118052411 |
| author_facet | Weickert, Joachim 1965- Benhamouda, Brahim |
| author_role | aut aut |
| author_sort | Weickert, Joachim 1965- |
| author_variant | j w jw b b bb |
| building | Verbundindex |
| bvnumber | BV012174188 |
| ctrlnum | (OCoLC)39082129 (DE-599)BVBBV012174188 |
| format | Book |
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| id | DE-604.BV012174188 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:23:01Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008248558 |
| oclc_num | 39082129 |
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| physical | 9 S. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
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| series | Datalogisk Institut <København>: DIKU-Rapport |
| series2 | Datalogisk Institut <København>: DIKU-Rapport |
| spelling | Weickert, Joachim 1965- Verfasser (DE-588)118052411 aut Why the Perona-Malik filter works Joachim Weickert ; Brahim Benhamouda København 1997 9 S. txt rdacontent n rdamedia nc rdacarrier Datalogisk Institut <København>: DIKU-Rapport 1997,22 Abstract: "Although the widely-used Perona-Malik filter is regarded as ill-posed, straightforward implementations are often surprisingly stable. We give an explanation for this effect by applying a discrete nonlinear scale-space framework: a spatial discretization on a fixed pixel grid gives a well-posed scale-space with many image-simplifying properties, and an explicit time discretization leads to a scheme which does not introduce additional oscillations. This explains why staircasing is essentially the only practically appearing instability." Differential equations, Partial Digital filters (Mathematics) Image processing Benhamouda, Brahim Verfasser aut Datalogisk Institut <København>: DIKU-Rapport 1997,22 (DE-604)BV010011493 1997,22 |
| spellingShingle | Weickert, Joachim 1965- Benhamouda, Brahim Why the Perona-Malik filter works Datalogisk Institut <København>: DIKU-Rapport Differential equations, Partial Digital filters (Mathematics) Image processing |
| title | Why the Perona-Malik filter works |
| title_auth | Why the Perona-Malik filter works |
| title_exact_search | Why the Perona-Malik filter works |
| title_full | Why the Perona-Malik filter works Joachim Weickert ; Brahim Benhamouda |
| title_fullStr | Why the Perona-Malik filter works Joachim Weickert ; Brahim Benhamouda |
| title_full_unstemmed | Why the Perona-Malik filter works Joachim Weickert ; Brahim Benhamouda |
| title_short | Why the Perona-Malik filter works |
| title_sort | why the perona malik filter works |
| topic | Differential equations, Partial Digital filters (Mathematics) Image processing |
| topic_facet | Differential equations, Partial Digital filters (Mathematics) Image processing |
| volume_link | (DE-604)BV010011493 |
| work_keys_str_mv | AT weickertjoachim whytheperonamalikfilterworks AT benhamoudabrahim whytheperonamalikfilterworks |