Rotation om en vilk\303\245rlig akse i rummet (2)LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==Rotation vinklen \316\270 om en vilk\303\245rlig akse i rummetDer \303\270nskes en formel for rotation om en vilk\303\245rlig akse i rummet.Aksen er givet ved en parameterfremstilling for en ret linje i rummet: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Dvs. et punkt p\303\245 rotationsaksen er LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYmLUkjbWlHRiQ2JlEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIwRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdGQC9JK21zZW1hbnRpY3NHRiRRJ2F0b21pY0YnRjVGQQ== of retningsvektoren er 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.Rotationsvinklen er \316\270.Rotation om de 3 grundl\303\246ggende akserhttps://en.wikipedia.org/wiki/Rotation_matrix#In_three_dimensionsLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LlEhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdGMS8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0YxLyUqc3ltbWV0cmljR0YxLyUobGFyZ2VvcEdGMS8lLm1vdmFibGVsaW1pdHNHRjEvJSdhY2NlbnRHRjEvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZFRi9GMg==Rotations matrix (om x-aksen):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Rotations matrix (om y-aksen):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 matrix (om z-aksen):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Generel formel for rotationenKilde:http://www.uio.no/studier/emner/matnat/ifi/INF3320/h03/undervisningsmateriale/lecture3.pdfNB: Pas p\303\245 fortegnet p\303\245 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUklbXN1YkdGJDYmLUkjbWlHRiQ2KVEickYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGNC8lK2ZvcmVncm91bmRHUSpbMjU1LDAsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSxib2xkLWl0YWxpY0YnLyUrZm9udHdlaWdodEdRJWJvbGRGJy1GIzYpLUYvNilRInhGJ0YyRjVGN0Y6Rj1GQEYyRjVGN0Y6Rj1GQC8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnL0krbXNlbWFudGljc0dGJFEnYXRvbWljRidGMkY3RjovRj5GQkZA i matricen LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUklbXN1YkdGJDYmLUkjbWlHRiQ2KVEiUkYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGNC8lK2ZvcmVncm91bmRHUSpbMjU1LDAsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSxib2xkLWl0YWxpY0YnLyUrZm9udHdlaWdodEdRJWJvbGRGJy1GIzYpLUYvNilRInlGJ0YyRjVGN0Y6Rj1GQEYyRjVGN0Y6Rj1GQC8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnL0krbXNlbWFudGljc0dGJFEnYXRvbWljRidGMkY3RjovRj5GQkZA ! Skal skiftes.Alternativ kilder:http://web.iitd.ac.in/~hegde/cad/lecture/L6_3dtrans.pdfhttp://ami.ektf.hu/uploads/papers/finalpdf/AMI_40_from175to186.pdfhttps://www.engr.uvic.ca/~mech410/lectures/4_2_RotateArbi.pdfMetoden er:translatere aksen til at g\303\245 gennem origo.rotere om x-aksenrotere om y-aksen (s\303\245 aksen nu er z-aksen)rotere den \303\270nskede vinkel om z-aksenrotere tilbage om y-aksenrotere tilbage om x-aksentranslatere tilbage, s\303\245 aksen g\303\245r gennem LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYmLUkjbWlHRiQ2JlEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIwRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdGQC9JK21zZW1hbnRpY3NHRiRRJ2F0b21pY0YnRjVGQQ==NB: 5 er invers operation af 3, 6 er invers operation af 2, 7 er invers operation af 1.NB: retningsvektoren skal v\303\246re en enhedsvektor!Metoden har 7 trin:1) translation til 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2) rotation om 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rotation om z-aksen med givne vinkel \316\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5) rotation om y-aksen (tilbage)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) rotation om x-aksen (tilbage)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) translation (tilbage)LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2KlEiUEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGMS8lK2JhY2tncm91bmRHUS5bMjU1LDE1MywyMDRdRicvJSdvcGFxdWVHRjEvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRictSSNtb0dGJDYyUSIrRidGL0Y0RjdGOS9GPUZBRj8vJSZmZW5jZUdGOy8lKnNlcGFyYXRvckdGOy8lKXN0cmV0Y2h5R0Y7LyUqc3ltbWV0cmljR0Y7LyUobGFyZ2VvcEdGOy8lLm1vdmFibGVsaW1pdHNHRjsvJSdhY2NlbnRHRjsvJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0ZXLUklbXN1YkdGJDYmRistRiM2Ki1JI21uR0YkNilRIjBGJ0YvRjRGN0Y5RkZGP0YvRjJGNEY3RjlGPEY/LyUvc3Vic2NyaXB0c2hpZnRHRlxvL0krbXNlbWFudGljc0dGJFEnYXRvbWljRidGL0Y0RjdGOUZGRj8=Samlet rotation om vilk\303\245rlig 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som skal 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gradtal: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 = Rotationsvinkel om y-aksen: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 = 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 = Omregnet til gradtal: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 = Rotation af \303\251t 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 svaret med: http://twist-and-shout.appspot.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LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlU2ZGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiUhcCNGKi0lKUNISUxEUkVORzYiPasser!LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LlEhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdGMS8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0YxLyUqc3ltbWV0cmljR0YxLyUobGFyZ2VvcEdGMS8lLm1vdmFibGVsaW1pdHNHRjEvJSdhY2NlbnRHRjEvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZFRi9GMg==