Hand Drawing in the Definition of the First Digital Curves

Abstract The first digitization systems successfully used in curves with origin in mathematical calculations or experimental tests proved useless when they were the result of heuristic methods developed under aesthetic criteria. Renault engineer Pierre Bézier and Citroën engineer Paul de Casteljau f...
Ausführliche Beschreibung

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Autor*in:	Díaz Moreno, Fernando [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2019

Schlagwörter:	Digital curves Pierre Bézier Paul de Casteljau Bézier curves Development of CAD

Übergeordnetes Werk:	Enthalten in: Nexus network journal - Roma : Birkhäuser, 1999, 22(2019), 3 vom: 23. Dez., Seite 755-775
Übergeordnetes Werk:	volume:22 ; year:2019 ; number:3 ; day:23 ; month:12 ; pages:755-775

Links:	Volltext

DOI / URN:	10.1007/s00004-019-00472-1

Katalog-ID:	SPR040481638

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520			\|a Abstract The first digitization systems successfully used in curves with origin in mathematical calculations or experimental tests proved useless when they were the result of heuristic methods developed under aesthetic criteria. Renault engineer Pierre Bézier and Citroën engineer Paul de Casteljau found the solution by focusing on the period of ideation of shapes and not on their subsequent translation and integration into the digital domain, studying the working methods of designers and incorporating in the mathematical definition of their curves the own actions of drawing, understood as basic instrumental support in creative processes. This article traces and analyzes the strong relationship between Bézier’s original approach and the procedures driving the manual stroke as the main reason for the consolidation of his graphic proposal as the most effective model for the hand drawing of digital curves and its inclusion since that time and to the present day in the software used by architects.
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author_variant	m f d mf mfd
matchkey_str	article:15224600:2019----::adrwniteeiiinfhfrt
hierarchy_sort_str	2019
bklnumber	31.00 56.60
publishDate	2019
allfields	10.1007/s00004-019-00472-1 doi (DE-627)SPR040481638 (SPR)s00004-019-00472-1-e DE-627 ger DE-627 rakwb eng 004 ASE 31.00 bkl 56.60 bkl Díaz Moreno, Fernando verfasserin aut Hand Drawing in the Definition of the First Digital Curves 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The first digitization systems successfully used in curves with origin in mathematical calculations or experimental tests proved useless when they were the result of heuristic methods developed under aesthetic criteria. Renault engineer Pierre Bézier and Citroën engineer Paul de Casteljau found the solution by focusing on the period of ideation of shapes and not on their subsequent translation and integration into the digital domain, studying the working methods of designers and incorporating in the mathematical definition of their curves the own actions of drawing, understood as basic instrumental support in creative processes. This article traces and analyzes the strong relationship between Bézier’s original approach and the procedures driving the manual stroke as the main reason for the consolidation of his graphic proposal as the most effective model for the hand drawing of digital curves and its inclusion since that time and to the present day in the software used by architects. Digital curves (dpeaa)DE-He213 Pierre Bézier (dpeaa)DE-He213 Paul de Casteljau (dpeaa)DE-He213 Bézier curves (dpeaa)DE-He213 Development of CAD (dpeaa)DE-He213 Enthalten in Nexus network journal Roma : Birkhäuser, 1999 22(2019), 3 vom: 23. Dez., Seite 755-775 (DE-627)320504050 (DE-600)2012598-7 1522-4600 nnns volume:22 year:2019 number:3 day:23 month:12 pages:755-775 https://dx.doi.org/10.1007/s00004-019-00472-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.00 ASE 56.60 ASE AR 22 2019 3 23 12 755-775
spelling	10.1007/s00004-019-00472-1 doi (DE-627)SPR040481638 (SPR)s00004-019-00472-1-e DE-627 ger DE-627 rakwb eng 004 ASE 31.00 bkl 56.60 bkl Díaz Moreno, Fernando verfasserin aut Hand Drawing in the Definition of the First Digital Curves 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The first digitization systems successfully used in curves with origin in mathematical calculations or experimental tests proved useless when they were the result of heuristic methods developed under aesthetic criteria. Renault engineer Pierre Bézier and Citroën engineer Paul de Casteljau found the solution by focusing on the period of ideation of shapes and not on their subsequent translation and integration into the digital domain, studying the working methods of designers and incorporating in the mathematical definition of their curves the own actions of drawing, understood as basic instrumental support in creative processes. This article traces and analyzes the strong relationship between Bézier’s original approach and the procedures driving the manual stroke as the main reason for the consolidation of his graphic proposal as the most effective model for the hand drawing of digital curves and its inclusion since that time and to the present day in the software used by architects. Digital curves (dpeaa)DE-He213 Pierre Bézier (dpeaa)DE-He213 Paul de Casteljau (dpeaa)DE-He213 Bézier curves (dpeaa)DE-He213 Development of CAD (dpeaa)DE-He213 Enthalten in Nexus network journal Roma : Birkhäuser, 1999 22(2019), 3 vom: 23. Dez., Seite 755-775 (DE-627)320504050 (DE-600)2012598-7 1522-4600 nnns volume:22 year:2019 number:3 day:23 month:12 pages:755-775 https://dx.doi.org/10.1007/s00004-019-00472-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.00 ASE 56.60 ASE AR 22 2019 3 23 12 755-775
allfields_unstemmed	10.1007/s00004-019-00472-1 doi (DE-627)SPR040481638 (SPR)s00004-019-00472-1-e DE-627 ger DE-627 rakwb eng 004 ASE 31.00 bkl 56.60 bkl Díaz Moreno, Fernando verfasserin aut Hand Drawing in the Definition of the First Digital Curves 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The first digitization systems successfully used in curves with origin in mathematical calculations or experimental tests proved useless when they were the result of heuristic methods developed under aesthetic criteria. Renault engineer Pierre Bézier and Citroën engineer Paul de Casteljau found the solution by focusing on the period of ideation of shapes and not on their subsequent translation and integration into the digital domain, studying the working methods of designers and incorporating in the mathematical definition of their curves the own actions of drawing, understood as basic instrumental support in creative processes. This article traces and analyzes the strong relationship between Bézier’s original approach and the procedures driving the manual stroke as the main reason for the consolidation of his graphic proposal as the most effective model for the hand drawing of digital curves and its inclusion since that time and to the present day in the software used by architects. Digital curves (dpeaa)DE-He213 Pierre Bézier (dpeaa)DE-He213 Paul de Casteljau (dpeaa)DE-He213 Bézier curves (dpeaa)DE-He213 Development of CAD (dpeaa)DE-He213 Enthalten in Nexus network journal Roma : Birkhäuser, 1999 22(2019), 3 vom: 23. Dez., Seite 755-775 (DE-627)320504050 (DE-600)2012598-7 1522-4600 nnns volume:22 year:2019 number:3 day:23 month:12 pages:755-775 https://dx.doi.org/10.1007/s00004-019-00472-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.00 ASE 56.60 ASE AR 22 2019 3 23 12 755-775
allfieldsGer	10.1007/s00004-019-00472-1 doi (DE-627)SPR040481638 (SPR)s00004-019-00472-1-e DE-627 ger DE-627 rakwb eng 004 ASE 31.00 bkl 56.60 bkl Díaz Moreno, Fernando verfasserin aut Hand Drawing in the Definition of the First Digital Curves 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The first digitization systems successfully used in curves with origin in mathematical calculations or experimental tests proved useless when they were the result of heuristic methods developed under aesthetic criteria. Renault engineer Pierre Bézier and Citroën engineer Paul de Casteljau found the solution by focusing on the period of ideation of shapes and not on their subsequent translation and integration into the digital domain, studying the working methods of designers and incorporating in the mathematical definition of their curves the own actions of drawing, understood as basic instrumental support in creative processes. This article traces and analyzes the strong relationship between Bézier’s original approach and the procedures driving the manual stroke as the main reason for the consolidation of his graphic proposal as the most effective model for the hand drawing of digital curves and its inclusion since that time and to the present day in the software used by architects. Digital curves (dpeaa)DE-He213 Pierre Bézier (dpeaa)DE-He213 Paul de Casteljau (dpeaa)DE-He213 Bézier curves (dpeaa)DE-He213 Development of CAD (dpeaa)DE-He213 Enthalten in Nexus network journal Roma : Birkhäuser, 1999 22(2019), 3 vom: 23. Dez., Seite 755-775 (DE-627)320504050 (DE-600)2012598-7 1522-4600 nnns volume:22 year:2019 number:3 day:23 month:12 pages:755-775 https://dx.doi.org/10.1007/s00004-019-00472-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.00 ASE 56.60 ASE AR 22 2019 3 23 12 755-775
allfieldsSound	10.1007/s00004-019-00472-1 doi (DE-627)SPR040481638 (SPR)s00004-019-00472-1-e DE-627 ger DE-627 rakwb eng 004 ASE 31.00 bkl 56.60 bkl Díaz Moreno, Fernando verfasserin aut Hand Drawing in the Definition of the First Digital Curves 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The first digitization systems successfully used in curves with origin in mathematical calculations or experimental tests proved useless when they were the result of heuristic methods developed under aesthetic criteria. Renault engineer Pierre Bézier and Citroën engineer Paul de Casteljau found the solution by focusing on the period of ideation of shapes and not on their subsequent translation and integration into the digital domain, studying the working methods of designers and incorporating in the mathematical definition of their curves the own actions of drawing, understood as basic instrumental support in creative processes. This article traces and analyzes the strong relationship between Bézier’s original approach and the procedures driving the manual stroke as the main reason for the consolidation of his graphic proposal as the most effective model for the hand drawing of digital curves and its inclusion since that time and to the present day in the software used by architects. Digital curves (dpeaa)DE-He213 Pierre Bézier (dpeaa)DE-He213 Paul de Casteljau (dpeaa)DE-He213 Bézier curves (dpeaa)DE-He213 Development of CAD (dpeaa)DE-He213 Enthalten in Nexus network journal Roma : Birkhäuser, 1999 22(2019), 3 vom: 23. Dez., Seite 755-775 (DE-627)320504050 (DE-600)2012598-7 1522-4600 nnns volume:22 year:2019 number:3 day:23 month:12 pages:755-775 https://dx.doi.org/10.1007/s00004-019-00472-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.00 ASE 56.60 ASE AR 22 2019 3 23 12 755-775
language	English
source	Enthalten in Nexus network journal 22(2019), 3 vom: 23. Dez., Seite 755-775 volume:22 year:2019 number:3 day:23 month:12 pages:755-775
sourceStr	Enthalten in Nexus network journal 22(2019), 3 vom: 23. Dez., Seite 755-775 volume:22 year:2019 number:3 day:23 month:12 pages:755-775
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Digital curves Pierre Bézier Paul de Casteljau Bézier curves Development of CAD
dewey-raw	004
isfreeaccess_bool	false
container_title	Nexus network journal
authorswithroles_txt_mv	Díaz Moreno, Fernando @@aut@@
publishDateDaySort_date	2019-12-23T00:00:00Z
hierarchy_top_id	320504050
dewey-sort	14
id	SPR040481638
language_de	englisch
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author	Díaz Moreno, Fernando
spellingShingle	Díaz Moreno, Fernando ddc 004 bkl 31.00 bkl 56.60 misc Digital curves misc Pierre Bézier misc Paul de Casteljau misc Bézier curves misc Development of CAD Hand Drawing in the Definition of the First Digital Curves
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topic_title	004 ASE 31.00 bkl 56.60 bkl Hand Drawing in the Definition of the First Digital Curves Digital curves (dpeaa)DE-He213 Pierre Bézier (dpeaa)DE-He213 Paul de Casteljau (dpeaa)DE-He213 Bézier curves (dpeaa)DE-He213 Development of CAD (dpeaa)DE-He213
topic	ddc 004 bkl 31.00 bkl 56.60 misc Digital curves misc Pierre Bézier misc Paul de Casteljau misc Bézier curves misc Development of CAD
topic_unstemmed	ddc 004 bkl 31.00 bkl 56.60 misc Digital curves misc Pierre Bézier misc Paul de Casteljau misc Bézier curves misc Development of CAD
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title	Hand Drawing in the Definition of the First Digital Curves
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title_full	Hand Drawing in the Definition of the First Digital Curves
author_sort	Díaz Moreno, Fernando
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title_sort	hand drawing in the definition of the first digital curves
title_auth	Hand Drawing in the Definition of the First Digital Curves
abstract	Abstract The first digitization systems successfully used in curves with origin in mathematical calculations or experimental tests proved useless when they were the result of heuristic methods developed under aesthetic criteria. Renault engineer Pierre Bézier and Citroën engineer Paul de Casteljau found the solution by focusing on the period of ideation of shapes and not on their subsequent translation and integration into the digital domain, studying the working methods of designers and incorporating in the mathematical definition of their curves the own actions of drawing, understood as basic instrumental support in creative processes. This article traces and analyzes the strong relationship between Bézier’s original approach and the procedures driving the manual stroke as the main reason for the consolidation of his graphic proposal as the most effective model for the hand drawing of digital curves and its inclusion since that time and to the present day in the software used by architects.
abstractGer	Abstract The first digitization systems successfully used in curves with origin in mathematical calculations or experimental tests proved useless when they were the result of heuristic methods developed under aesthetic criteria. Renault engineer Pierre Bézier and Citroën engineer Paul de Casteljau found the solution by focusing on the period of ideation of shapes and not on their subsequent translation and integration into the digital domain, studying the working methods of designers and incorporating in the mathematical definition of their curves the own actions of drawing, understood as basic instrumental support in creative processes. This article traces and analyzes the strong relationship between Bézier’s original approach and the procedures driving the manual stroke as the main reason for the consolidation of his graphic proposal as the most effective model for the hand drawing of digital curves and its inclusion since that time and to the present day in the software used by architects.
abstract_unstemmed	Abstract The first digitization systems successfully used in curves with origin in mathematical calculations or experimental tests proved useless when they were the result of heuristic methods developed under aesthetic criteria. Renault engineer Pierre Bézier and Citroën engineer Paul de Casteljau found the solution by focusing on the period of ideation of shapes and not on their subsequent translation and integration into the digital domain, studying the working methods of designers and incorporating in the mathematical definition of their curves the own actions of drawing, understood as basic instrumental support in creative processes. This article traces and analyzes the strong relationship between Bézier’s original approach and the procedures driving the manual stroke as the main reason for the consolidation of his graphic proposal as the most effective model for the hand drawing of digital curves and its inclusion since that time and to the present day in the software used by architects.
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title_short	Hand Drawing in the Definition of the First Digital Curves
url	https://dx.doi.org/10.1007/s00004-019-00472-1
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doi_str	10.1007/s00004-019-00472-1
up_date	2024-07-03T16:17:27.575Z
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Hand Drawing in the Definition of the First Digital Curves

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