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[ÇóÖú] Roderigues FormulaµÄÎÊÌ⣨ÊÇÂÞµÂÀï¸ñ˹¹«Ê½Âð£¬ÎÒ²»ÖªµÀÊDz»ÊÇÕâÑù·­Ò룩

Óöµ½Ò»¸ö¹«Ê½ÍƵ¼µÄÎÊÌâ£¬Éæ¼°µ½Roderigues Formula£¬·­Òë¹ýÀ´ÊÇÂÞµÂÀï¸ñ˹¹«Ê½Â𣬺Ǻǣ¬ÎÒ²»ÖªµÀ¶Ô²»¶Ô¡£Çë¿´¸½Í¼1
ÆäÖÐOmega hatÊÇ·´¶Ô³Æ¾ØÕó£¬ÍƵ¼Ê±¸øµÄÌáʾÊÇ°ÑÆäÖÐµÄÆæÏîºÍżÏî·Ö±ð´¦Àí£¬Ó¦¸ÃÊÇ°ÑÆäÖÐµÄÆæÏîÏà¼Ó£¬Å¼ÏîÏà¼Ó¡£Ô­ÎÄÊÇ£ºCollecting the odd and even terms in the above equation, we get to Roderigues Formula for a rotation matrix R.
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Working for the Lord with all my heart
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acmuser

Òø³æ (СÓÐÃûÆø)

ÒýÓûØÌû:
2Â¥: Originally posted by acmuser at 2012-05-21 22:02:50:
Assume you know things like exponential map, axis angle represenation, and so on,
94/17/1582407_1337608967_580.jpg

should be 1-cos(t)
3Â¥2012-05-21 22:03:54
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
²é¿´È«²¿ 4 ¸ö»Ø´ð

acmuser

Òø³æ (СÓÐÃûÆø)

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130098300: ½ð±Ò+10, ¡ï¡ï¡ï¡ï¡ï×î¼Ñ´ð°¸ 2012-05-22 14:28:54
Assume you know things like exponential map, axis angle represenation, and so on,


2Â¥2012-05-21 22:02:50
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

130098300

Òø³æ (ÕýʽдÊÖ)

ÒýÓûØÌû:
2Â¥: Originally posted by acmuser at 2012-05-21 22:02:50:
Assume you know things like exponential map, axis angle represenation, and so on,
94/17/1582407_1337608967_580.jpg

ÄúÌ«´ÏÃ÷ÁË
Working for the Lord with all my heart
4Â¥2012-05-22 14:28:50
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
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