An interpolating curve subdivision scheme based on discrete first derivative
This paper develops a new scheme of four points for interpolating curve subdivision based on the discrete fi rst derivative (DFDS), which reduces the apparition of undesirable oscillations that can be formed on the limit curve when the control points do not follow a uniform parameterization. We used...
- Autores:
-
Espinosa Bedoya, Albeiro
Sánchez Torres, German
Branch Bedoya, John Willian
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2013
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/73081
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/73081
http://bdigital.unal.edu.co/37556/
- Palabra clave:
- 03 Obras enciclopédicas generales / Encyclopedias and books of facts
Curve subdivision
curve interpolation
four-point subdivision scheme
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
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Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Espinosa Bedoya, Albeiro13ed2b7f-0ff6-4c66-961c-a12ee48c09a4300Sánchez Torres, German3efcada8-0b77-454d-ab51-5230fb80a334300Branch Bedoya, John Willian3c6549fa-e308-4c51-b84b-43f77c96efde3002019-07-03T15:52:23Z2019-07-03T15:52:23Z2013ISSN: 0012-7353https://repositorio.unal.edu.co/handle/unal/73081http://bdigital.unal.edu.co/37556/This paper develops a new scheme of four points for interpolating curve subdivision based on the discrete fi rst derivative (DFDS), which reduces the apparition of undesirable oscillations that can be formed on the limit curve when the control points do not follow a uniform parameterization. We used a set of 3000 curves whose control points were randomly generated. Smooth curves were obtained after seven steps of subdivision using fi ve schemes DFDS, Four-Point (4P), New four-point (N4P), Tight four-point (T4P) and the geometrically controlled scheme (GC4P). The tortuosity property was evaluated on every smooth curve. An analysis for the frequency distributions of this property using the Kruskal-Wallis test reveals that DFDS scheme has the lowest values in a close range.application/pdfspaUniversidad Nacional de Colombia - Sede Medellínhttp://revistas.unal.edu.co/index.php/dyna/article/view/39379Universidad Nacional de Colombia Revistas electrónicas UN DynaDynaDYNA; Vol. 80, núm. 180 (2013); 16-24 Dyna; Vol. 80, núm. 180 (2013); 16-24 2346-2183 0012-7353Espinosa Bedoya, Albeiro and Sánchez Torres, German and Branch Bedoya, John Willian (2013) An interpolating curve subdivision scheme based on discrete first derivative. DYNA; Vol. 80, núm. 180 (2013); 16-24 Dyna; Vol. 80, núm. 180 (2013); 16-24 2346-2183 0012-7353, 80 (180). pp. 16-24. ISSN 0012-735303 Obras enciclopédicas generales / Encyclopedias and books of factsCurve subdivisioncurve interpolationfour-point subdivision schemeAn interpolating curve subdivision scheme based on discrete first derivativeArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL39379-208585-1-PB.htmltext/html32138https://repositorio.unal.edu.co/bitstream/unal/73081/1/39379-208585-1-PB.html049efdb92bfb34b5a04e9298b7b5a148MD5139379-175260-1-PB.pdfapplication/pdf667501https://repositorio.unal.edu.co/bitstream/unal/73081/2/39379-175260-1-PB.pdf7771785a666081ab1b214dc118ad26a1MD52THUMBNAIL39379-175260-1-PB.pdf.jpg39379-175260-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg9741https://repositorio.unal.edu.co/bitstream/unal/73081/3/39379-175260-1-PB.pdf.jpge09a7dfd0a62e0045acd43454963501bMD53unal/73081oai:repositorio.unal.edu.co:unal/730812024-06-19 23:10:25.253Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
| dc.title.spa.fl_str_mv |
An interpolating curve subdivision scheme based on discrete first derivative |
| title |
An interpolating curve subdivision scheme based on discrete first derivative |
| spellingShingle |
An interpolating curve subdivision scheme based on discrete first derivative 03 Obras enciclopédicas generales / Encyclopedias and books of facts Curve subdivision curve interpolation four-point subdivision scheme |
| title_short |
An interpolating curve subdivision scheme based on discrete first derivative |
| title_full |
An interpolating curve subdivision scheme based on discrete first derivative |
| title_fullStr |
An interpolating curve subdivision scheme based on discrete first derivative |
| title_full_unstemmed |
An interpolating curve subdivision scheme based on discrete first derivative |
| title_sort |
An interpolating curve subdivision scheme based on discrete first derivative |
| dc.creator.fl_str_mv |
Espinosa Bedoya, Albeiro Sánchez Torres, German Branch Bedoya, John Willian |
| dc.contributor.author.spa.fl_str_mv |
Espinosa Bedoya, Albeiro Sánchez Torres, German Branch Bedoya, John Willian |
| dc.subject.ddc.spa.fl_str_mv |
03 Obras enciclopédicas generales / Encyclopedias and books of facts |
| topic |
03 Obras enciclopédicas generales / Encyclopedias and books of facts Curve subdivision curve interpolation four-point subdivision scheme |
| dc.subject.proposal.spa.fl_str_mv |
Curve subdivision curve interpolation four-point subdivision scheme |
| description |
This paper develops a new scheme of four points for interpolating curve subdivision based on the discrete fi rst derivative (DFDS), which reduces the apparition of undesirable oscillations that can be formed on the limit curve when the control points do not follow a uniform parameterization. We used a set of 3000 curves whose control points were randomly generated. Smooth curves were obtained after seven steps of subdivision using fi ve schemes DFDS, Four-Point (4P), New four-point (N4P), Tight four-point (T4P) and the geometrically controlled scheme (GC4P). The tortuosity property was evaluated on every smooth curve. An analysis for the frequency distributions of this property using the Kruskal-Wallis test reveals that DFDS scheme has the lowest values in a close range. |
| publishDate |
2013 |
| dc.date.issued.spa.fl_str_mv |
2013 |
| dc.date.accessioned.spa.fl_str_mv |
2019-07-03T15:52:23Z |
| dc.date.available.spa.fl_str_mv |
2019-07-03T15:52:23Z |
| dc.type.spa.fl_str_mv |
Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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info:eu-repo/semantics/article |
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info:eu-repo/semantics/publishedVersion |
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http://purl.org/coar/resource_type/c_6501 |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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Text |
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http://purl.org/redcol/resource_type/ART |
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http://purl.org/coar/resource_type/c_6501 |
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publishedVersion |
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ISSN: 0012-7353 |
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https://repositorio.unal.edu.co/handle/unal/73081 |
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http://bdigital.unal.edu.co/37556/ |
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ISSN: 0012-7353 |
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https://repositorio.unal.edu.co/handle/unal/73081 http://bdigital.unal.edu.co/37556/ |
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spa |
| language |
spa |
| dc.relation.spa.fl_str_mv |
http://revistas.unal.edu.co/index.php/dyna/article/view/39379 |
| dc.relation.ispartof.spa.fl_str_mv |
Universidad Nacional de Colombia Revistas electrónicas UN Dyna Dyna |
| dc.relation.ispartofseries.none.fl_str_mv |
DYNA; Vol. 80, núm. 180 (2013); 16-24 Dyna; Vol. 80, núm. 180 (2013); 16-24 2346-2183 0012-7353 |
| dc.relation.references.spa.fl_str_mv |
Espinosa Bedoya, Albeiro and Sánchez Torres, German and Branch Bedoya, John Willian (2013) An interpolating curve subdivision scheme based on discrete first derivative. DYNA; Vol. 80, núm. 180 (2013); 16-24 Dyna; Vol. 80, núm. 180 (2013); 16-24 2346-2183 0012-7353, 80 (180). pp. 16-24. ISSN 0012-7353 |
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Derechos reservados - Universidad Nacional de Colombia |
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http://purl.org/coar/access_right/c_abf2 |
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Atribución-NoComercial 4.0 Internacional |
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http://creativecommons.org/licenses/by-nc/4.0/ |
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info:eu-repo/semantics/openAccess |
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Atribución-NoComercial 4.0 Internacional Derechos reservados - Universidad Nacional de Colombia http://creativecommons.org/licenses/by-nc/4.0/ http://purl.org/coar/access_right/c_abf2 |
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openAccess |
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Universidad Nacional de Colombia - Sede Medellín |
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Universidad Nacional de Colombia |
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