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Pierre Bézier - Wikipedia

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class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Indice" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Mostra/Nascondi l&#039;indice" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Mostra/Nascondi l&#039;indice</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Pierre Bézier</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Vai a una voce in un&#039;altra lingua. Disponibile in 22 lingue" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-22" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">22 lingue</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%A8%D9%8A%D9%8A%D8%B1_%D8%A8%D9%8A%D8%B2%D9%8A%D9%8A%D9%87" title="بيير بيزييه - arabo" lang="ar" hreflang="ar" data-title="بيير بيزييه" data-language-autonym="العربية" data-language-local-name="arabo" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D8%A8%D9%8A%D9%8A%D8%B1_%D8%A8%D9%8A%D8%B2%D9%8A%D9%8A%D9%87" title="بيير بيزييه - arabo egiziano" lang="arz" hreflang="arz" data-title="بيير بيزييه" data-language-autonym="مصرى" data-language-local-name="arabo egiziano" class="interlanguage-link-target"><span>مصرى</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Pierre_B%C3%A9zier" title="Pierre Bézier - ceco" lang="cs" hreflang="cs" data-title="Pierre Bézier" data-language-autonym="Čeština" data-language-local-name="ceco" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Pierre_B%C3%A9zier" title="Pierre Bézier - danese" lang="da" hreflang="da" data-title="Pierre Bézier" data-language-autonym="Dansk" data-language-local-name="danese" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Pierre_B%C3%A9zier" title="Pierre Bézier - tedesco" lang="de" hreflang="de" data-title="Pierre Bézier" data-language-autonym="Deutsch" data-language-local-name="tedesco" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Pierre_B%C3%A9zier" title="Pierre Bézier - inglese" lang="en" hreflang="en" data-title="Pierre Bézier" data-language-autonym="English" data-language-local-name="inglese" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Pierre_B%C3%A9zier" title="Pierre Bézier - spagnolo" lang="es" hreflang="es" data-title="Pierre Bézier" data-language-autonym="Español" data-language-local-name="spagnolo" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%BE%DB%8C%D8%B1_%D8%A8%D8%B2%DB%8C%D9%87" title="پیر بزیه - persiano" lang="fa" hreflang="fa" data-title="پیر بزیه" data-language-autonym="فارسی" data-language-local-name="persiano" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Pierre_B%C3%A9zier" title="Pierre Bézier - francese" lang="fr" hreflang="fr" data-title="Pierre Bézier" data-language-autonym="Français" data-language-local-name="francese" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Pierre_B%C3%A9zier" title="Pierre Bézier - croato" lang="hr" hreflang="hr" data-title="Pierre Bézier" data-language-autonym="Hrvatski" data-language-local-name="croato" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%94%E3%82%A8%E3%83%BC%E3%83%AB%E3%83%BB%E3%83%99%E3%82%B8%E3%82%A7" title="ピエール・ベジェ - giapponese" lang="ja" hreflang="ja" data-title="ピエール・ベジェ" data-language-autonym="日本語" data-language-local-name="giapponese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%ED%94%BC%EC%97%90%EB%A5%B4_%EB%B2%A0%EC%A7%80%EC%97%90" title="피에르 베지에 - coreano" lang="ko" hreflang="ko" data-title="피에르 베지에" data-language-autonym="한국어" data-language-local-name="coreano" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://mg.wikipedia.org/wiki/Pierre_B%C3%A9zier" title="Pierre Bézier - malgascio" lang="mg" hreflang="mg" data-title="Pierre Bézier" data-language-autonym="Malagasy" data-language-local-name="malgascio" class="interlanguage-link-target"><span>Malagasy</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Pierre_B%C3%A9zier" title="Pierre Bézier - olandese" lang="nl" hreflang="nl" data-title="Pierre Bézier" data-language-autonym="Nederlands" data-language-local-name="olandese" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Pierre_B%C3%A9zier" title="Pierre Bézier - polacco" lang="pl" hreflang="pl" data-title="Pierre Bézier" data-language-autonym="Polski" data-language-local-name="polacco" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Pierre_B%C3%A9zier" title="Pierre Bézier - portoghese" lang="pt" hreflang="pt" data-title="Pierre Bézier" data-language-autonym="Português" data-language-local-name="portoghese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%91%D0%B5%D0%B7%D1%8C%D0%B5,_%D0%9F%D1%8C%D0%B5%D1%80" title="Безье, Пьер - russo" lang="ru" hreflang="ru" data-title="Безье, Пьер" data-language-autonym="Русский" data-language-local-name="russo" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Pierre_B%C3%A9zier" title="Pierre Bézier - slovacco" lang="sk" hreflang="sk" data-title="Pierre Bézier" data-language-autonym="Slovenčina" data-language-local-name="slovacco" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%9B%E0%B8%B5%E0%B9%81%E0%B8%A2%E0%B8%A3%E0%B9%8C_%E0%B9%80%E0%B8%9A%E0%B8%8B%E0%B8%B5%E0%B9%80%E0%B8%A2" title="ปีแยร์ เบซีเย - thailandese" lang="th" hreflang="th" data-title="ปีแยร์ เบซีเย" data-language-autonym="ไทย" data-language-local-name="thailandese" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9F%27%D1%94%D1%80_%D0%91%D0%B5%D0%B7%D1%8C%D1%94" title="П&#039;єр Безьє - ucraino" lang="uk" hreflang="uk" data-title="П&#039;єр Безьє" data-language-autonym="Українська" data-language-local-name="ucraino" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Pierre_B%C3%A9zier" title="Pierre Bézier - vietnamita" lang="vi" hreflang="vi" data-title="Pierre Bézier" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamita" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E7%9A%AE%E5%9F%83%E5%B0%94%C2%B7%E8%B4%9D%E5%A1%9E%E5%B0%94" title="皮埃尔·贝塞尔 - cinese" lang="zh" hreflang="zh" data-title="皮埃尔·贝塞尔" data-language-autonym="中文" data-language-local-name="cinese" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q372584#sitelinks-wikipedia" title="Modifica collegamenti interlinguistici" class="wbc-editpage">Modifica collegamenti</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Namespace"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Pierre_B%C3%A9zier" title="Vedi la voce [c]" accesskey="c"><span>Voce</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Discussione:Pierre_B%C3%A9zier" rel="discussion" title="Vedi le discussioni relative a questa pagina [t]" accesskey="t"><span>Discussione</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Cambia versione linguistica" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">italiano</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="Visite"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Pierre_B%C3%A9zier"><span>Leggi</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Pierre_B%C3%A9zier&amp;veaction=edit" title="Modifica questa pagina [v]" accesskey="v"><span>Modifica</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Pierre_B%C3%A9zier&amp;action=edit" title="Modifica il wikitesto di questa pagina [e]" accesskey="e"><span>Modifica wikitesto</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Pierre_B%C3%A9zier&amp;action=history" title="Versioni precedenti di questa pagina [h]" accesskey="h"><span>Cronologia</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Strumenti pagine"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Strumenti" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Strumenti</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Strumenti</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">sposta nella barra laterale</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">nascondi</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Altre opzioni" > <div class="vector-menu-heading"> Azioni </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/Pierre_B%C3%A9zier"><span>Leggi</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Pierre_B%C3%A9zier&amp;veaction=edit" title="Modifica questa pagina [v]" accesskey="v"><span>Modifica</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Pierre_B%C3%A9zier&amp;action=edit" title="Modifica il wikitesto di questa pagina [e]" accesskey="e"><span>Modifica wikitesto</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Pierre_B%C3%A9zier&amp;action=history"><span>Cronologia</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Generale </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Speciale:PuntanoQui/Pierre_B%C3%A9zier" title="Elenco di tutte le pagine che sono collegate a questa [j]" accesskey="j"><span>Puntano qui</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Speciale:ModificheCorrelate/Pierre_B%C3%A9zier" rel="nofollow" title="Elenco delle ultime modifiche alle pagine collegate a questa [k]" accesskey="k"><span>Modifiche correlate</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Speciale:PagineSpeciali" title="Elenco di tutte le pagine speciali [q]" accesskey="q"><span>Pagine speciali</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Pierre_B%C3%A9zier&amp;oldid=141470614" title="Collegamento permanente a questa versione di questa pagina"><span>Link permanente</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Pierre_B%C3%A9zier&amp;action=info" title="Ulteriori informazioni su questa pagina"><span>Informazioni pagina</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Speciale:Cita&amp;page=Pierre_B%C3%A9zier&amp;id=141470614&amp;wpFormIdentifier=titleform" title="Informazioni su come citare questa pagina"><span>Cita questa voce</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Speciale:UrlShortener&amp;url=https%3A%2F%2Fit.wikipedia.org%2Fwiki%2FPierre_B%25C3%25A9zier"><span>Ottieni URL breve</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Speciale:QrCode&amp;url=https%3A%2F%2Fit.wikipedia.org%2Fwiki%2FPierre_B%25C3%25A9zier"><span>Scarica codice QR</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Stampa/esporta </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Speciale:Libro&amp;bookcmd=book_creator&amp;referer=Pierre+B%C3%A9zier"><span>Crea un libro</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Speciale:DownloadAsPdf&amp;page=Pierre_B%C3%A9zier&amp;action=show-download-screen"><span>Scarica come PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Pierre_B%C3%A9zier&amp;printable=yes" title="Versione stampabile di questa pagina [p]" accesskey="p"><span>Versione stampabile</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> In altri progetti </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Pierre_B%C3%A9zier" hreflang="en"><span>Wikimedia Commons</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q372584" title="Collegamento all&#039;elemento connesso dell&#039;archivio dati [g]" accesskey="g"><span>Elemento Wikidata</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Strumenti pagine"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Aspetto"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Aspetto</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">sposta nella barra laterale</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">nascondi</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Da Wikipedia, l&#039;enciclopedia libera.</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="it" dir="ltr"><p><b>Pierre Étienne Bézier</b> (<a href="/wiki/Parigi" title="Parigi">Parigi</a>, <a href="/wiki/1%C2%BA_settembre" title="1º settembre">1º settembre</a> <a href="/wiki/1910" title="1910">1910</a> – <a href="/wiki/Bures-sur-Yvette" title="Bures-sur-Yvette">Bures-sur-Yvette</a>, <a href="/wiki/25_novembre" title="25 novembre">25 novembre</a> <a href="/wiki/1999" title="1999">1999</a><sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup>) è stato un <a href="/wiki/Ingegnere" title="Ingegnere">ingegnere</a> e <a href="/wiki/Matematico" title="Matematico">matematico</a> <a href="/wiki/Francia" title="Francia">francese</a>, creatore delle <a href="/wiki/Curva_di_B%C3%A9zier" title="Curva di Bézier">curve di Bézier</a> e delle <a href="/wiki/Superficie_di_B%C3%A9zier" title="Superficie di Bézier">superfici di Bézier</a> che sono ora alla base della maggior parte del <a href="/wiki/Computer_Aided_Design" class="mw-redirect" title="Computer Aided Design">Computer Aided Design</a> e dei sistemi di <a href="/wiki/Computer_grafica" title="Computer grafica">computer grafica</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Biografia">Biografia</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Pierre_B%C3%A9zier&amp;veaction=edit&amp;section=1" title="Modifica la sezione Biografia" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Pierre_B%C3%A9zier&amp;action=edit&amp;section=1" title="Edit section&#039;s source code: Biografia"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Bezierova_krivka.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/87/Bezierova_krivka.png/220px-Bezierova_krivka.png" decoding="async" width="220" height="119" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/87/Bezierova_krivka.png/330px-Bezierova_krivka.png 1.5x, //upload.wikimedia.org/wikipedia/commons/8/87/Bezierova_krivka.png 2x" data-file-width="427" data-file-height="230" /></a><figcaption>Curva di Bézier</figcaption></figure><p>Nato a <a href="/wiki/Parigi" title="Parigi">Parigi</a>, Bézier era figlio e nipote di ingegneri.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup> Ottenne la laurea in <a href="/wiki/Ingegneria_meccanica" title="Ingegneria meccanica">ingegneria meccanica</a> presso la <i><a href="/wiki/%C3%89cole_nationale_sup%C3%A9rieure_d%27Arts_et_M%C3%A9tiers" class="mw-redirect" title="École nationale supérieure d&#39;Arts et Métiers">École Nationale Supérieure des Arts et Métiers</a></i> nel <a href="/wiki/1930" title="1930">1930</a>. Si guadagnò una seconda laurea in <a href="/wiki/Ingegneria_elettrica" title="Ingegneria elettrica">ingegneria elettrica</a> nel <a href="/wiki/1931" title="1931">1931</a> alla <i><a href="/wiki/%C3%89cole_sup%C3%A9rieure_d%27%C3%A9lectricit%C3%A9" title="École supérieure d&#39;électricité">École supérieure d'électricité</a></i>, nonché un dottorato, nel <a href="/wiki/1977" title="1977">1977</a>, in <a href="/wiki/Matematica" title="Matematica">matematica</a> alla <a href="/wiki/Universit%C3%A0_di_Parigi" title="Università di Parigi">Università di Parigi</a> dove contribuì allo studio delle curve polinomiali parametriche e i loro coefficienti vettoriali.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">&#91;</span>3<span class="cite-bracket">&#93;</span></a></sup> </p><p>Lavorò presso la <a href="/wiki/Renault" title="Renault">Renault</a> dal <a href="/wiki/1933" title="1933">1933</a> al <a href="/wiki/1975" title="1975">1975</a>, dove realizzò il suo sistema <a href="/wiki/UNISURF" title="UNISURF">UNISURF</a> <a href="/wiki/CAD/CAM" title="CAD/CAM">CAD/CAM</a>. Iniziò il suo incarico alla Renault come attrezzista. Nel 1934 divenne tool designer e nel 1945 fu nominato capo dell'ufficio di tool design. Come direttore di Ingegneria della Produzione nel 1949, egli progettò le "macchine di trasferimento", che produssero la maggior parte delle parti meccaniche per le <a href="/wiki/Renault_4CV" title="Renault 4CV">Renault 4CV</a>.<sup id="cite_ref-:0_4-0" class="reference"><a href="#cite_note-:0-4"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</span></a></sup> Le macchine di trasferimento erano strumenti di lavoro ad alte prestazioni progettate per produrre blocchi di motore. </p><p>Imprigionato durante la seconda guerra mondiale, Bézier sviluppò e migliorò il "principio delle macchine automatiche", introdotto prima della guerra dalla <a href="/wiki/General_Motors" title="General Motors">General Motors</a>. La nuova "stazione di trasferimento", con workstation multiple e <i>teste elettromagnetiche</i> (antecedenti ai robot), permisero che operazioni diverse venissero eseguite consecutivamente su un unico pezzo, trasferendo il pezzo da una stazione all'altra.<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">&#91;</span>5<span class="cite-bracket">&#93;</span></a></sup> </p><p>Nel 1957, Bézier divenne direttore della divisione di <i>machine tool</i>, responsabile per l'assemblaggio automatico di componenti meccanici e per il design e la produzione di macchine per forare e zigrinare a controllo numerico. </p><p>Bézier iniziò a gestire lo sviluppo tecnico alla Renault nel 1960. Bézier iniziò a condurre ricerche sul <a href="/wiki/Computer-aided_design" title="Computer-aided design">CAD</a>,<sup id="cite_ref-:0_4-1" class="reference"><a href="#cite_note-:0-4"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</span></a></sup> prestando attenzione al sistema <a href="/wiki/UNISURF" title="UNISURF">UNISURF</a> che sviluppò per usarlo con macchine da disegno, controllo al computer, curve dalla forma libera interattive, surface design e zigrinatura tridimensionale. UNISURF debuttò nel 1968 ed entro in funzione dal 1975.<sup id="cite_ref-:0_4-2" class="reference"><a href="#cite_note-:0-4"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</span></a></sup> </p><p>Dal <a href="/wiki/1968" title="1968">1968</a> al <a href="/wiki/1979" title="1979">1979</a> fu professore di ingegneria della produzione al <i><a href="/wiki/Conservatorio_Nazionale_delle_Arti_e_dei_Mestieri" class="mw-redirect" title="Conservatorio Nazionale delle Arti e dei Mestieri">Conservatoire National des Arts et Métiers</a></i>. </p><p>Si dimise dalla Renault nel 1975.<sup id="cite_ref-:0_4-3" class="reference"><a href="#cite_note-:0-4"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</span></a></sup> </p><p>Nel <a href="/wiki/1985" title="1985">1985</a> fu insignito all'<a href="/w/index.php?title=ACM_SIGGRAPH&amp;action=edit&amp;redlink=1" class="new" title="ACM SIGGRAPH (la pagina non esiste)">ACM SIGGRAPH</a> con un premio "Steven A. Coons" per aver dedicato la sua vita alla computer grafica e alle tecniche interattive. </p><p>Scrisse quattro libri e su numerosi giornali, e ricevette diverse distinzioni, che includono il premio Steven Anson Coons dall'<a href="/wiki/Association_for_Computing_Machinery" title="Association for Computing Machinery">ACM</a> e un <a href="/wiki/Laurea_honoris_causa" title="Laurea honoris causa">dottorato onorario</a> dalla <a href="/wiki/Universit%C3%A0_tecnica_di_Berlino" title="Università tecnica di Berlino">Technical University Berlin</a>. Fu membro onorario della <a href="/wiki/American_Society_of_Mechanical_Engineers" title="American Society of Mechanical Engineers">American Society of Mechanical Engineers</a> e della <a href="/w/index.php?title=Soci%C3%A9t%C3%A9_Belge_des_M%C3%A9caniciens&amp;action=edit&amp;redlink=1" class="new" title="Société Belge des Mécaniciens (la pagina non esiste)">Société Belge des Mécaniciens</a>, presidente della <a href="/w/index.php?title=Soci%C3%A9t%C3%A9_des_Ing%C3%A9nieurs_et_Scientifiques_de_France&amp;action=edit&amp;redlink=1" class="new" title="Société des Ingénieurs et Scientifiques de France (la pagina non esiste)">Société des Ingénieurs et Scientifiques de France</a>, <a href="/w/index.php?title=Soci%C3%A9t%C3%A9_des_Ing%C3%A9nieurs_Arts_et_Metiers&amp;action=edit&amp;redlink=1" class="new" title="Société des Ingénieurs Arts et Metiers (la pagina non esiste)">Société des Ingénieurs Arts et Metiers</a>, e uno dei primi advisory editor del magazine <i>Computer-Aided Design</i>. </p><p>È morto il 25 novembre del 1999 a 89 anni. </p><p>Con il consenso della sua famiglia la <a href="/w/index.php?title=Solid_Modeling_Association&amp;action=edit&amp;redlink=1" class="new" title="Solid Modeling Association (la pagina non esiste)">Solid Modeling Association</a> ha istituito il premio <i>Pierre Bézier per la Modellazione Solida, Geometrica e Fisica e Applicazioni</i> nel 2007.<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Note">Note</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Pierre_B%C3%A9zier&amp;veaction=edit&amp;section=2" title="Modifica la sezione Note" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Pierre_B%C3%A9zier&amp;action=edit&amp;section=2" title="Edit section&#039;s source code: Note"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><a href="#cite_ref-1"><b>^</b></a> <span class="reference-text"><cite class="citation web" style="font-style:normal"> <a rel="nofollow" class="external text" href="https://deces.matchid.io/search?advanced=true&amp;ln=Pierre+%C3%89tienne+B%C3%A9zier&amp;bd=1910"><span style="font-style:italic;">elenco ufficiale decessi Francia</span></a>, su <span style="font-style:italic;">deces.matchid.io</span>. <small>URL consultato il 1º settembre 2021</small>.</cite></span> </li> <li id="cite_note-2"><a href="#cite_ref-2"><b>^</b></a> <span class="reference-text"><cite class="citation web" style="font-style:normal"> <a rel="nofollow" class="external text" href="https://archive.is/20120526012617/http://www.engology.com/eng5bezier.htm"><span style="font-style:italic;">Dr. Pierre Bezier, Engineer, Inventor, Author, and Mathematician</span></a>, su <span style="font-style:italic;">engology.com</span> <small>(archiviato dall'<abbr title="http&#58;//www.engology.com/eng5bezier.htm">url originale</abbr> il 26 maggio 2012)</small>.</cite></span> </li> <li id="cite_note-3"><a href="#cite_ref-3"><b>^</b></a> <span class="reference-text"><cite class="citation pubblicazione" style="font-style:normal"> Pierre Bézier, <span style="font-style:italic;">Essai de définition numérique des courbes et des surfaces experimentales: Contribution à l'étude des propriétés des courbes et des surfaces paramétriques polynomiales à coefficients vectoriels. (Thesis). Diss. Universite Pierre et Marie Curie (Paris VI)</span>.</cite></span> </li> <li id="cite_note-:0-4"><span class="mw-cite-backlink"><b>^</b> <sup><i><a href="#cite_ref-:0_4-0">a</a></i></sup> <sup><i><a href="#cite_ref-:0_4-1">b</a></i></sup> <sup><i><a href="#cite_ref-:0_4-2">c</a></i></sup> <sup><i><a href="#cite_ref-:0_4-3">d</a></i></sup></span> <span class="reference-text"><cite class="citation web" style="font-style:normal"> <a rel="nofollow" class="external text" href="https://www.flutterby.com/archives/1999_Dec/7_DeadPierreBezier.html"><span style="font-style:italic;">Dead: Pierre Bézier</span></a>, su <span style="font-style:italic;">flutterby.com</span>.</cite></span> </li> <li id="cite_note-5"><a href="#cite_ref-5"><b>^</b></a> <span class="reference-text"><cite class="citation web" style="font-style:normal"> <a rel="nofollow" class="external text" href="http://www.conceptcarz.com/view/makehistory/127%2C0/Renault_History.aspx"><span style="font-style:italic;">Renault History</span></a>, su <span style="font-style:italic;">conceptcarz.com</span>.</cite></span> </li> <li id="cite_note-6"><a href="#cite_ref-6"><b>^</b></a> <span class="reference-text"><cite class="citation web" style="font-style:normal"> <a rel="nofollow" class="external text" href="http://solidmodeling.org/awards/bezier-award/"><span style="font-style:italic;">The Pierre Bézier Award</span></a>, su <span style="font-style:italic;">solidmodeling.org</span>.</cite></span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="Voci_correlate">Voci correlate</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Pierre_B%C3%A9zier&amp;veaction=edit&amp;section=3" title="Modifica la sezione Voci correlate" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Pierre_B%C3%A9zier&amp;action=edit&amp;section=3" title="Edit section&#039;s source code: Voci correlate"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Paul_de_Casteljau" title="Paul de Casteljau">Paul de Casteljau</a></li> <li><a href="/wiki/Computer-aided_design" title="Computer-aided design">CAD</a></li> <li><a href="/wiki/Computer_grafica" title="Computer grafica">Computer grafica</a></li> <li><a href="/wiki/Computer_grafica_3D" title="Computer grafica 3D">Computer grafica 3D</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Altri_progetti">Altri progetti</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Pierre_B%C3%A9zier&amp;veaction=edit&amp;section=4" title="Modifica la sezione Altri progetti" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Pierre_B%C3%A9zier&amp;action=edit&amp;section=4" title="Edit section&#039;s source code: Altri progetti"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <div id="interProject" class="toccolours" style="display: none; clear: both; margin-top: 2em"><p id="sisterProjects" style="background-color: #efefef; color: black; font-weight: bold; margin: 0"><span>Altri progetti</span></p><ul title="Collegamenti verso gli altri progetti Wikimedia"> <li class="" title=""><span class="plainlinks" title="commons:Category:Pierre Bézier"><a class="external text" href="https://commons.wikimedia.org/wiki/Category:Pierre_B%C3%A9zier?uselang=it">Wikimedia Commons</a></span></li></ul></div> <ul><li><span typeof="mw:File"><a href="https://commons.wikimedia.org/wiki/?uselang=it" title="Collabora a Wikimedia Commons"><img alt="Collabora a Wikimedia Commons" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/18px-Commons-logo.svg.png" decoding="async" width="18" height="24" class="mw-file-element" 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