ÑÇÐÇÓÎÏ·¹ÙÍø-www.yaxin868.com

ɽ¶«ÑÇÐÇÓÎÏ·¹ÙÍø»ú´²ÓÐÏÞ¹«Ë¾Ï³´²¹Ù·½ÍøÕ¾½ñÌìÊÇ£º2025-05-08Çл»³ÇÊÐ[È«¹ú]-ÍøÕ¾µØÍ¼
ÍÆ¼ö²úÆ· :
ÍÆ¼öÐÂÎÅ
¼¼ÊõÎÄÕµ±Ç°Î»ÖÃ:¼¼ÊõÎÄÕÂ>

»ùÓÚË«Ïß¼¤¹âµÄÈýάÐÅÏ¢¼ì²â·½·¨

ʱ¼ä:2025-05-08    ×÷Õß: ¹ÜÀíÔ±

רÀûÃû³Æ£º»ùÓÚË«Ïß¼¤¹âµÄÈýάÐÅÏ¢¼ì²â·½·¨
¼¼ÊõÁìÓò£º
±¾·¢Ã÷Éæ¼°Ò»ÖÖ»ùÓÚË«Ïß¼¤¹âµÄÈýάÐÅÏ¢¼ì²â·½·¨£¬ÊôÓÚ»úÆ÷ÊÓ¾õ¼ì²â¼¼ÊõÁìÓò¡£
±³¾°¼¼Êõ£º
ÏÖ´úµÄÖÆÔìÒµÖУ¬ÈýάÐÅÏ¢µÄ¼ì²âÊDZز»¿ÉÉٵġ£Ä¿Ç°ÏÖÓеÄÈýά¼ì²â×°Ö㬺ܴóÒ»²¿·Ö¶¼ÊÇÊÖ¹¤¼ì²â£¬Ð§ÂʱȽϵͣ»ÁíÍâÔÚһЩ¾«ÃÜÒÇÆ÷ÖÆÔìÒµ(ÈçÆû³µ¡¢·É»ú)ÖУ¬½Ó´¥Ê½²âÁ¿ÒÇÆ÷²»ÈÝÒ×°²×°£¬»òÓÉÓÚ½Ó´¥±»²âÎïÌå±íÃæ»á²úÉú»®ºÛµÈ£¬ËùÒÔ»ùÓÚ¹âѧµÄ·Ç½Ó´¥Ê½²âÁ¿¼¼ÊõµÃµ½Á˳¤×ãµÄ·¢Õ¹£¬¸Ã¼¼ÊõÒѾ­¹ã·ºÓ¦ÓÃÓÚ²úÆ·µÄÉè¼ÆÖÆÔì¡¢ÖÊÁ¿¼ì²âÓë¿ØÖÆ¡¢»úÆ÷ÊÓ¾õµÈÁìÓò¡£ÏÖÓлùÓÚ¹âѧµÄÈýά¼ì²â×°Ö㬴󲿷ְ²×°ÔÚÉú²úÏßÉÏ£¬Ö»Äܼì²âÌØ¶¨µÄ²¿¼þ£¬¶ÔÓÚ´óÐÍÎïÌå±íÃæµÄÎ¢Ð¡ÌØÕ÷ÐÅÏ¢¼ì²âÊøÊÖÎ޲ߡ£»ùÓÚµ¥Ïß¼¤¹âÈýάÐÅÏ¢¼ì²âµÄ·½·¨£¬ÓкܴóµÄ¾ÖÏÞÐÔ¡£Ê×ÏÈÓÉÓÚµ¥Ïß¼¤¹âÐÅÏ¢Á¿±È½ÏÉÙ£¬Òò´Ë²Ù×÷·½·¨±È½Ï¾ÖÏÞ£¬±ÈÈç¶Ǫ̂½×ºÍ½Ó·ì²âÁ¿Ê±£¬±ØÐë±£Ö¤¼¤¹âÏß´¹Ö±Í¶É䣻Æä´Î£¬µ¥Ïß¼¤¹â¼ì²âÊÊÓ÷¶Î§±È½ÏС£¬Îȶ¨ÐÔ²»¸ß£»µÚÈý£¬µ¥Ïß¼¤¹â²âÁ¿µÄ¾«¶È²»¸ß¡£

·¢Ã÷ÄÚÈÝ
±¾·¢Ã÷Õë¶ÔĿǰÈýά¼ì²â×°ÖÃÔÚijЩ·½ÃæµÄ²»×㣬Ìá³öÒ»ÖÖÊÊÓ÷¶Î§´ó¡¢Îȶ¨ÐԸߡ¢¾«¶È¸ßµÄ»ùÓÚË«Ïß¼¤¹âµÄÈýάÐÅÏ¢¼ì²â·½·¨¡£Ò»ÖÖ»ùÓÚË«Ïß¼¤¹âµÄÈýάÐÅÏ¢¼ì²â·½·¨£¬ÆäÌØÕ÷ÔÚÓÚ°üÀ¨ÒÔϲ½Öè(1)¡¢Ë«Ïß¼¤¹âÆ½Ãæ±ê¶¨(1-1)¡¢Ïà»úºÍ¼¤¹âÆ÷ÒÔ¼°±ê¶¨°å³ÉÈý½Ç¹ØÏµ£¬ÆäÖй̶¨µÚÒ»¼¤¹âÆ÷¡¢µÚ¶þ¼¤¹âÆ÷¡¢ Ïà»úºÍ±ê¶¨°åλÖã¬ÀûÓÃÏà»ú²É¼¯Ò»·ùδͶÉ伤¹âÊøµÄ±ê¶¨°åͼÏñ£¬²¢ÇóÈ¡½Çµã×ø±ê£»ÀûÓýǵãÁ¬½Ó³ÉÈô¸ÉƽÐеÄÖ±Ïߣ»(1-2)¡¢´ò¿ªµÚÒ»¼¤¹âÆ÷£¬Í¶É伤¹âÏßµ½±ê¶¨°åÉÏ£¬¼¤¹âÏßÔڱ궨°åÉϳÊÏÖ´ÖÏßÌõ£¬ ÀûÓÃÏà»ú²É¼¯±ê¶¨°åÉϵ魯â´ÖÏߵı궨ͼÏñ£¬²¢Ç󼤹â´ÖÏßµÄÖÐÐÄÏߣ»Çó¸ÃÖÐÐÄÏßÓë½Ç £»^^ . ^^- °×É× J^r £¬(1-3)¡¢¹Ø±ÕµÚÒ»¼¤¹âÆ÷£¬´ò¿ªµÚ¶þ¼¤¹âÆ÷£¬Í¶É伤¹âÏßµ½±ê¶¨°åÉÏ£¬¼¤¹âÏßÔڱ궨°åÉϳÊÏÖ´ÖÏßÌõ£¬ÀûÓÃÏà»ú²É¼¯±ê¶¨°åÉϵ魯â´ÖÏߵı궨ͼÏñ£¬²¢Ç󼤹â´ÖÏßµÄÖÐÐÄÏߣ» Çó¸ÃÖÐÐÄÏßÓë½ÇµãÖ±ÏߵĽ»µã£»(1-4)¡¢Ïòǰ»òÏòºóÒÆ¶¯±ê¶¨°åλÖã¬È»ºóÖØ¸´ÉÏÊö²½Öè(1-1)ÖÁ(1- ¹ý³Ì£»(1-5)¡¢ÖÁÉÙÔÙÖØ¸´Ò»´Î²½Öè(1-4)£»(1-6)¡¢Í¨¹ý²½Öè(1-1)ÖÁ²½Öè(1- »ñµÃµÄ¶à¸ö½Çµã×ø±ê£¬±ê¶¨Ïà»úÄÚ²¿²ÎÊýºÍÍⲿ²ÎÊý£»(1-7)¡¢Í¨¹ý²½Öè(1-1)ÖÁ²½Öè(1-5)»ñµÃµÄ¶à¸ö½»µã×ø±ê£¬·Ö±ðÇóÈ¡µÚÒ»¼¤¹âÆ÷ºÍµÚ¶þ¼¤¹âÆ÷µÄ¼¤¹âÆ½Ãæ·½³Ì£»
O)¡¢ÎïÌåÈýάÐÅÏ¢¼ì²â(2-1)¡¢±£³ÖµÚÒ»¼¤¹âÆ÷¡¢µÚ¶þ¼¤¹âÆ÷¡¢Ïà»úµÄÏà¶ÔλÖò»±ä£»Ïà»úºÍ¼¤¹âÆ÷ÒÔ¼°ÎïÌå³ÉÈý½Ç¹ØÏµ£»ÀûÓõÚÒ»¼¤¹âÆ÷¡¢µÚ¶þ¼¤¹âÆ÷ÏòÎïÌåͶÉäÁ½Ìõ¼¤¹âÏߣ»¼¤¹âÏßÔÚÎïÌåÉϳÊÏÖ´ÖÏßÌõ£¬ÀûÓÃÏà»ú²É¼¯º¬ÓÐË«Ïß¼¤¹âµÄÎïÌåͼÏñ£¬²¢ÇóÿÌõ¼¤¹â´ÖÏßµÄÖÐÐÄÏߣ»ÀûÓÃÏà»úÄÚ²¿²ÎÊýÒÔ¼°Ã¿¸ö¼¤¹âÆ÷µÄ¼¤¹âÆ½Ãæ·½³Ì£¬Öؽ¨ÈýάÊý¾Ý¡£±¾·¢Ã÷µÄÔ­ÀíÊǸù¾Ý¼¤¹âÈý½Ç·¨²âÁ¿Ô­Àí£¬Í¨¹ýͶÉäË«Ïß¼¤¹âµ½ÎïÌå±íÃæ£¬·Ö±ð±ê¶¨Ã¿¸ö¼¤¹âÆ½Ãæ£¬ÇóÆä¼¤¹âÆ½Ãæ·½³Ì£¬²É¼¯µ½º¬ÓÐÁ½Ìõ¼¤¹âÏßµÄÎïÌåµ÷ÖÆÍ¼Ïñ£¬Í¨¹ýÇóÈ¡¼¤¹âÏßÖÐÐÄ£¬²¢ÄÜÇø·Öÿ¸ö¼¤¹âÏßËùÔڵļ¤¹âÆ½Ãæ£¬È»ºó¸ù¾ÝËù¶ÔÓ¦µÄ¼¤¹âÆ½Ãæ·½³Ì½øÐÐÈýÎ¬ÖØ½¨£¬¼ì²âÎïÌåµÄ±íÃæÌØÕ÷¼¸ºÎÐÅÏ¢¡£ÔÚËùÊöµÄÈýάÐÅÏ¢¼ì²âÖУ¬Ðè񻂿·Ö³öÁ½¸ö¼¤¹âÆ½Ãæ£¬ÓëÆä¶ÔÓ¦µÄÆ½Ãæ·½³Ì½øÐÐÈýÎ¬ÖØ½¨£¬²¢Äܾ«È·ÕÒµ½ÐèÒªµÄÌØÕ÷µã½øÐÐÈýάÐÅÏ¢¼ì²â¡£±¾·¢Ã÷ÖнǵãÊÇÖ¸ÆåÅ̸ñ±ê¶¨°åÖеÄÌØÕ÷µã£¬½ÇµãÁ¬½Ó³ÉµÄÖ±ÏßÊÇÿÐнǵãÏàÁ¬½Ó£¬ ÓÃ×îС¶þ³Ë·¨ÄâºÏµÄÒ»ÌõÖ±Ïߣ¬¼¤¹âÖÐÐÄÏßÉϵĸ÷¸öµãÄâºÏÒ»ÌõÖ±Ïߣ¬»áÓëÿÐнǵãÁ¬½Ó³ÉµÄÖ±ÏßÏཻ£¬Ðγɽ»µã¡£ÀûÓöà¸ö½Çµã×ø±ê±ê¶¨Ïà»úÄÚ²¿²ÎÊýºÍÍⲿ²ÎÊýΪ³ÉÊìµÄÏÖÓм¼Êõ£¬¿É²ÉÓÃÈç(PROGER Y.TSAI.A Versatile Camera Calibration Techniaue for High-Accuracy 3D Machine Vision Metrology Using Off-the-shelf TV Cameras and Lenses. IEEE JOURNAL OF ROBOTICS AND AUTOMATION, VOL. RA-3,N0. 4, AUGUST 1987)²Î¿¼ÎÄÏ×½éÉܵÄÒ»ÖÖ»ùÓÚ¾¶ÏòÔ¼ÊøµÄÁ½²½·¨¡£±¾·¢Ã÷µÄÓŵãÔÚÓÚ1.ÓÉÓÚ²ÉÓÃÁ½Ìõ¼¤¹âÏßÓиü¶àµÄÐÅÏ¢Á¿£¬Òò´ËÏà¶ÔÓÚµ¥Ïß¼¤¹â²âÁ¿¾ßÓиü¸ßµÄÎȶ¨ÐԺ;«¶È¡£2.±¾·¢Ã÷µÄÓ¦Ó÷¶Î§¹ã¡£¿ÉÒԹ㷺ӦÓÃÓÚÎïÌå±íÃæÌ¨½×¸ß¶ÈºÍ½Ó·ì¿í¶ÈµÄ²âÁ¿£¬ ¿ÉÒÔ²âÁ¿Æû³µ±íÃæÒ²¿ÉÒÔ²âÁ¿·É»úÃÉÆ¤±íÃæµÄÌØÕ÷ÐÅÏ¢¡£3.¿ÉÒÔÊÖ³Öʽ½øÐÐʵʱ²âÁ¿¡£±¾·¢Ã÷×°ÖÃÖÊÁ¿±È½ÏÇᣬ½á¹¹¼òµ¥£¬¿ÉÒÔ½«¼¤¹âÆ÷ºÍÏà»úµÈ¸¨ÖúÉ豸Æ÷¼þ·â×°ÔÚÒ»¸öÉ豸ÖУ¬ÊµÏÖÊÖ³Öʽ²âÁ¿£¬Ïà±ÈÓÚÆäËûµÄÈýά¼ì²âÉ豸£¬¾ßÓÐÇá±ã¡¢Ò×ÓÚ²Ù×÷µÄÌØµã¡£4.Ïà±ÈÓÚµ¥Ïß¼¤¹â²âÁ¿£¬±¾·¢Ã÷ͶÉäµÄ¼¤¹âÏß²»ÐèÒª´¹Ö±ÓÚ½Ó·ì±ßÔµ£¬²Ù×÷¸ü¼Ó¼òµ¥¡£ËùÊö²½ÖèÖÐÏà»úÓ뼤¹âÆ÷ÒÔ¼°ÎïÌå³ÉÈý½Ç¹ØÏµ£¬ÆäÖÐÏà»ú¹âÖáÓ뼤¹âÆ½ÃæµÄ¼Ð½ÇΪ30¡ã 60¡ãʱÕâ¸ö·¶Î§ÄÚʱ¾«¶È½Ï¸ß£¬²âÁ¿Ð§¹û½ÏºÃ¡£ËùÊöµÚÒ»¼¤¹âÆ÷¡¢µÚ¶þ¼¤¹âÆ÷ΪÁ½¸ö¶ÀÁ¢µÄÒ»×ÖÏß¼¤¹âÆ÷£»»òΪͬһ¸öÄÜͶÉäÁ½ÌõƽÐлòÏཻ¼¤¹âÏß¼¤¹âÆ÷¡£


ͼ1Ë«Ïß¼¤¹âͶÉäÔ­ÀíʾÒâͼ£»Í¼2Ïà»ú±ê¶¨ºÍË«Ïß¼¤¹âÆ½ÃæÊ¾Òâͼ£»Í¼3¼¤¹âÏß½çÃæ»Ò¶Èͼ£»Í¼4º¬ÓÐÁ½Ìõ¼¤¹âÏßµÄÎïÌåͼÏñ£»Í¼5ÌáÈ¡¼¤¹âÖÐÐÄÏßµÄͼÏñ£»Í¼6Çø·ÖºóµÄͼÏñ£»
ͼ7Ë«Ïß¼¤¹â²âÁ¿Óëµ¥Ïß¼¤¹â²âÁ¿¶Ô±Èͼ£»Í¼ÖбêºÅÃû³Æ1ΪµÚÒ»¼¤¹âÆ÷£¬2ΪµÚ¶þ¼¤¹âÆ÷£¬3ΪµÚÒ»¼¤¹âÆ½Ãæ£¬4ΪµÚ¶þ¼¤¹âÆ½Ãæ£¬5ΪÏà»ú£¬6Ϊ¼¤¹âÆ½ÃæÓë½ÇµãÁ¬ÏߵĽ»µã£¬7Ϊ±ê¶¨°å½Çµã
¾ßÌåʵʩ·½°¸ÏÂÃæ¶Ô±¾·¢Ã÷½áºÏ

×ö½øÒ»²½Ïêϸ˵Ã÷¡£(1)¡¢Ë«Ïß¼¤¹âͶÉäÄ£ÐÍÔ­ÀíÈçͼ1¡£µÚÒ»¼¤¹âÆ÷ºÍµÚ¶þ¼¤¹âÆ÷ƽÐзÅÖ㬴¹Ö±Ïò±»²âÎïÌå±íÃæÍ¶É伤¹â¹âÊø¡£µÚÒ»¼¤¹âÆ½ÃæºÍµÚ¶þ¼¤¹âÆ½ÃæÍ¶Éäµ½ÎïÌå±íÃæºó£¬ÔÚÎïÌå±íÃæ¾Í»áÐγÉÁ½¸ö¼¤¹â¹âÌõ¡£ÕâÁ½¸ö¹âÌõ¶¼»áÒòΪÎïÌå±íÃæÉî¶ÈµÄ±ä»¯¶øÊܵ½µ÷ÖÆ¡£Ïà»ú´ÓÁíÍâÒ»¸öλÖòɼ¯º¬ÓÐÁ½¸ö¼¤¹â¹âÌõµÄͼÏñ¡£È»ºóͨ¹ýÏà»úÄÚ²¿²ÎÊýºÍÍⲿ²ÎÊýÒÔ¼°Á½¸ö¼¤¹âÆ½Ãæ·½³Ì£¬×îºóÄܵõ½µ÷ÖÆÍ¼Ïñ¹âÌõÉϵÄÈýάÐÅÏ¢¡£(2)¡¢Ë«Ïß¼¤¹âÆ½Ãæ±ê¶¨¡£Ë«Ïß¼¤¹âÆ½Ãæ±ê¶¨Ê¾ÒâͼÈçͼ2Ëùʾ¡£¸ù¾ÝÏà»úÄ£ÐͺÍͶӰģÐÍ£¬ÊýѧģÐÍÈçÏÂ
ȨÀûÒªÇó
1.Ò»ÖÖ»ùÓÚË«Ïß¼¤¹âµÄÈýάÐÅÏ¢¼ì²â·½·¨£¬ÆäÌØÕ÷ÔÚÓÚ°üÀ¨ÒÔϲ½Öè(1)¡¢Ë«Ïß¼¤¹âÆ½Ãæ±ê¶¨(1-1)¡¢Ïà»úºÍ¼¤¹âÆ÷ÒÔ¼°±ê¶¨°å³ÉÈý½Ç¹ØÏµ£¬ÆäÖй̶¨µÚÒ»¼¤¹âÆ÷¡¢µÚ¶þ¼¤¹âÆ÷¡¢Ïà»úºÍ±ê¶¨°åλÖã¬ÀûÓÃÏà»ú²É¼¯Ò»·ùδͶÉ伤¹âÊøµÄ±ê¶¨°åͼÏñ£¬²¢ÇóÈ¡½ÇµãµÄ×ø±ê£»ÀûÓýǵãÁ¬½Ó³ÉÈô¸ÉƽÐеÄÖ±Ïߣ»(1-2)¡¢´ò¿ªµÚÒ»¼¤¹âÆ÷£¬Í¶É伤¹âÏßµ½±ê¶¨°åÉÏ£¬¼¤¹âÏßÔڱ궨°åÉϳÊÏÖ´ÖÏßÌõ£¬ÀûÓÃÏà»ú²É¼¯±ê¶¨°åÉϵ魯â´ÖÏߵı궨ͼÏñ£¬²¢Ç󼤹â´ÖÏßµÄÖÐÐÄÏߣ»Çó¸ÃÖÐÐÄÏßÓë½ÇµãÖ±ÏߵĽ»µã£»(1-3)¡¢¹Ø±ÕµÚÒ»¼¤¹âÆ÷£¬´ò¿ªµÚ¶þ¼¤¹âÆ÷£¬Í¶É伤¹âÏßµ½±ê¶¨°åÉÏ£¬¼¤¹âÏßÔڱ궨°åÉϳÊÏÖ´ÖÏßÌõ£¬ÀûÓÃÏà»ú²É¼¯±ê¶¨°åÉϵ魯â´ÖÏߵı궨ͼÏñ£¬²¢Ç󼤹â´ÖÏßµÄÖÐÐÄÏߣ»Çó¸ÃÖÐÐÄÏßÓë½ÇµãÖ±ÏߵĽ»µã£»(1-4)¡¢Ïòǰ»òÏòºóÒÆ¶¯±ê¶¨°åλÖã¬È»ºóÖØ¸´ÉÏÊö²½Öè(1-1)ÖÁ(1-3)¹ý³Ì£»(1-5)¡¢ÖÁÉÙÔÙÖØ¸´Ò»´Î²½Öè(1-4)£»(1-6)¡¢Í¨¹ý²½Öè(1-1)ÖÁ²½Öè(1-5)»ñµÃµÄ¶à¸ö½Çµã×ø±ê£¬±ê¶¨Ïà»úÄÚ²¿²ÎÊýºÍÍⲿ²ÎÊý£»(1-7)ͨ¹ý²½Öè(1-1)ÖÁ²½Öè(1-5)»ñµÃµÄ¶à¸ö½»µã×ø±ê£¬·Ö±ðÇóÈ¡µÚÒ»¼¤¹âÆ÷ºÍµÚ¶þ¼¤¹âÆ÷µÄ¼¤¹âÆ½Ãæ·½³Ì£»(2)¡¢ÎïÌåÈýάÐÅÏ¢¼ì²â(2-1)¡¢±£³ÖµÚÒ»¼¤¹âÆ÷¡¢µÚ¶þ¼¤¹âÆ÷¡¢Ïà»úµÄÏà¶ÔλÖò»±ä£»Ïà»úºÍ¼¤¹âÆ÷ÒÔ¼°ÎïÌå³ÉÈý½Ç¹ØÏµ£»ÀûÓõÚÒ»¼¤¹âÆ÷¡¢µÚ¶þ¼¤¹âÆ÷ÏòÎïÌåͶÉäÁ½Ìõ¼¤¹âÏߣ»¼¤¹âÏßÔÚÎïÌåÉϳÊÏÖ´ÖÏßÌõ£¬ÀûÓÃÏà»ú²É¼¯º¬ÓÐË«Ïß¼¤¹âµÄÎïÌåͼÏñ£¬²¢ÇóÿÌõ¼¤¹â´ÖÏßµÄÖÐÐÄÏߣ»ÀûÓÃÏà»úÄÚ²¿²ÎÊýÒÔ¼°Ã¿¸ö¼¤¹âÆ÷µÄ¼¤¹âÆ½Ãæ·½³Ì£¬Öؽ¨ÈýάÊý¾Ý¡£
2.¸ù¾ÝȨÀûÒªÇó1ËùÊöµÄ»ùÓÚË«Ïß¼¤¹âµÄÈýάÐÅÏ¢¼ì²â·½·¨£¬ÆäÌØÕ÷ÔÚÓÚËùÊö²½Öè(2-1)ÖÐÏà»úÓ뼤¹âÆ÷ÒÔ¼°ÎïÌå³ÉÈý½Ç¹ØÏµ£¬ÆäÖÐÏà»ú¹âÖáÓ뼤¹âÆ½ÃæµÄ¼Ð½ÇΪ30¡ã 60¡ã¡£
3.¸ù¾ÝȨÀûÒªÇó1ËùÊöµÄ»ùÓÚË«Ïß¼¤¹âµÄÈýάÐÅÏ¢¼ì²â·½·¨£¬ÆäÌØÕ÷ÔÚÓÚËùÊöµÚÒ»¼¤¹âÆ÷¡¢µÚ¶þ¼¤¹âÆ÷ΪÁ½¸ö¶ÀÁ¢µÄÒ»×ÖÏß¼¤¹âÆ÷£»»òΪͬһ¸öÄÜͶÉäÁ½ÌõƽÐлòÏཻ¼¤¹âÏß¼¤¹âÆ÷¡£
È«ÎÄÕªÒª
Ò»ÖÖ»ùÓÚË«Ïß¼¤¹âµÄÈýάÐÅÏ¢¼ì²â·½·¨£¬ÊôÓÚÈýά²âÁ¿¼¼ÊõÁìÓò¡£¸Ã·½·¨²ÉÓÃÁ½¸ö¼¤¹âÆ÷£¬·Ö±ðÇóÈ¡µÚÒ»¼¤¹âÆ÷ºÍµÚ¶þ¼¤¹âÆ÷µÄ¼¤¹âÆ½Ãæ·½³Ì¡£ÎïÌåÈýάÐÅÏ¢¼ì²âʱÀûÓÃÏà»ú²É¼¯º¬ÓÐË«Ïß¼¤¹âµÄÎïÌåͼÏñ£¬²¢ÇóÿÌõ¼¤¹â´ÖÏßµÄÖÐÐÄÏߣ»ÀûÓÃÏà»úÄÚ²¿²ÎÊýÒÔ¼°Ã¿¸ö¼¤¹âÆ÷µÄ¼¤¹âÆ½Ãæ·½³Ì£¬Öؽ¨ÈýάÊý¾Ý¡£±¾·½·¨Ïà¶ÔÓÚµ¥Ïß¼¤¹â²âÁ¿·½·¨£¬ÓÉÓÚÆäÐÅÏ¢Á¿´ó£¬¾ßÌå¸ü¸ßµÄÎȶ¨ÐÔ¡¢¿É¿¿ÐÔºÍ׼ȷÐÔ£¬Í¬Ê±²Ù×÷ÒªÇó¼òµ¥£¬ÔÚÎïÌå±íÃæÈýάÐÅÏ¢¼ì²â·½Ãæ¾ßÓÐÖØÒªµÄÓ¦Óá£
Îĵµ±àºÅG01B11/14GK102297658SQ201110132660
¹«¿ªÈÕ2011Äê12ÔÂ28ÈÕ ÉêÇëÈÕÆÚ2011Äê5ÔÂ20ÈÕ ÓÅÏÈȨÈÕ2011Äê5ÔÂ20ÈÕ
·¢Ã÷Õß´Þº£»ª, ÁÎÎĺÍ, ´÷Äþ, ÌïÖÒÔË, ³Ìóãʤ ÉêÇëÈË:ÄϾ©º½¿Õº½Ìì´óѧ

  • רÀûÃû³Æ£º¼ìÑé²ÉÄò±­µÄÖÆ×÷·½·¨¼¼ÊõÁìÓò£º±¾ÊµÓÃÐÂÐÍÊôÓÚÒ½ÁÆÓþ߼¼ÊõÁìÓò£¬¾ßÌ嵨½²ÊÇÒ»ÖÖ¼ìÑé²ÉÄò±­¡£±³¾°¼¼Êõ£ºÄ¿Ç°£¬ÁÙ´²ÉÏÔÚ¸ø²¡È˽øÐÐÄòÑù¼ìÑéʱ´ó¶à¸ø²¡ÈË·¢·ÅÄòÒº²É¼¯¹Ü£¬Óɲ¡ÈË×ÔÐвɼ¯ÄòÑù£¬¶øÏÖÓеÄÄòÒº²É¼¯¹ÜÖ÷ÒªÓÉÒ»ÊԹܹ¹³É£¬ÊԹܱíÃæ¹â»¬£¬Õâ
  • רÀûÃû³Æ£ºPemȼÁÏµç³ØÏµÍ³ÖеĵÍÑô¼«Çâ·ÖѹµÄÕï¶ÏºÍ²¹¾ÈµÄÖÆ×÷·½·¨¼¼ÊõÁìÓò£º±¾·¢Ã÷×ÜÌåÉÏÉæ¼°ÓÃÓÚÈ·¶¨ºÍУÕýȼÁÏµç³ØÏµÍ³µÄÑô¼«×ÓϵͳÖеĵÍÑô¼«Çâ·ÖѹµÄϵͳºÍ·½·¨£¬ÇÒ¸ü¾ßÌ嵨ɿ¼°Í¨¹ýÕë¶ÔȼÁÏµç³ØÏµÍ³µÄÑô¼«×ÓϵͳÖеÄÑô¼«Ñ¹Á¦ºÍ »òµªÄ¦¶û·ÖÊý±ä»¯À´
  • רÀûÃû³Æ£ºSmtÍø°å¼ì²â×°ÖõÄÖÆ×÷·½·¨¼¼ÊõÁìÓò£º±¾·¢Ã÷Éæ¼°Ò»ÖÖרҵӦÓÃÓÚ¼ì²âSMTÍø°åÌØÕ÷³ß´çλÖþ«¶È¡¢±íÃæÖÊÁ¿È±Ïݵȼì²â×°Öã¬ÊôÓÚSMTÍø°åÆ·Öʼì²âÉ豸ÁìÓò¡£±³¾°¼¼Êõ£ºSMTÍø°åĿǰÖ÷Òª¼Ó¹¤·½Ê½Óм¤¹â¼Ó¹¤·½Ê½ºÍ»¯Ñ§¼Ó¹¤·½Ê½(Ö÷ÒªÓбíÃæ¿ÌÊ´
  • רÀûÃû³Æ£º¹ý³Ì±äÁ¿±äËÍÆ÷µÄÖÆ×÷·½·¨¼¼ÊõÁìÓò£º±¾ÊµÓÃÐÂÐÍÉæ¼°ÔÚ¹ý³Ì¿ØÖƺͼàÊÓϵͳÖÐʹÓõĹý³Ì±äÁ¿±äËÍÆ÷¡£¸ü¾ßÌ嵨£¬±¾ÊµÓÃÐÂÐÍÉæ¼°¼ì²â¹ý³ÌÔëÉùƵÂʲ¢µ÷Õû´«¸ÐÆ÷¿ØÖÆÐźţ¬´Ó¶ø½«´«¸ÐÆ÷¿ØÖÆÐÅºÅÆµÂÊÒÆ¶¯µ½Ô¶ÀëËù¼ì²âµ½µÄÔëÉùƵÂÊ£¬ÒÔ±ÜÃâ¹ý³ÌÔëÉùËùÒý·¢µÄ
  • רÀûÃû³Æ£ºÒ»ÖÖÔÂÇòÑùÆ·²ÉÑùÃÜ·âÈÛº¸»ú¹¹µÄÖÆ×÷·½·¨¼¼ÊõÁìÓò£º±¾·¢Ã÷Éæ¼°Ì«¿Õ²ÉÑùÃÜ·â×°Öã¬Ö÷񻃾¼°Ò»ÖÖÔÂÇòÑùÆ·²ÉÑùÃÜ·âÈÛº¸»ú¹¹¡£±³¾°¼¼Êõ£º·¢ÉäÈËÔìµØÇòÎÀ ÐÇ¡¢ÔØÈ˺½ÌìºÍÉî¿Õ̽²âÊÇÈËÀຽÌì»î¶¯µÄÈý´óÁìÓò¡£ÖØ·µÔÂÇò£¬¿ª·¢ÔÂÇò×ÊÔ´£¬½¨Á¢ÔÂÇò»ùµØÒѳÉΪ
  • רÀûÃû³Æ£º»ùÓÚÒºÁ¦²âÁ¿µÄˮƽ¶àµã³Á½µ¼à²â×°Öü°Æä¼à²â·½·¨¼¼ÊõÁìÓò£º±¾·¢Ã÷Éæ¼°Â·»ù»òÇÅÁº¼°ÀàËÆ½¨ÖþÎïµÄ³Á½µ¼à²â£¬ÓÈÆäÊÇÒ»ÖÖ»ùÓÚÒºÁ¦²âÁ¿µÄˮƽ¶àµã³Á½µ¼à²â×°Öü°Æä¼à²â·½·¨£¬ÌرðÊÊÓÃÓÚ·ÇÅ»ò·ËíµÈÁ¬½Ó´¦²úÉúµÄ²îÒì³Á½µ¼à²â¡£±³¾°¼¼Êõ£º¸ßËÙÌú·¡¢¿ÍÔË
ɽ¶«ÑÇÐÇÓÎÏ·¹ÙÍø»ú´²ÓÐÏÞ¹«Ë¾
È«¹ú·þÎñÈÈÏߣº13062023238
µç»°£º13062023238
µØÖ·£ºëøÖÝÊÐÁúȪ¹¤ÒµÔ°68ºÅ
¹Ø¼ü´Ê£ºÏ³´²£¬Êý¿ØÏ³´²£¬ÁúÃÅϳ´²
¹«Ë¾¶þάÂë
Copyright 2010-2024 °æÈ¨ËùÓÐ All rights reserved ³ICP±¸19044495ºÅ-12
¡¾ÍøÕ¾µØÍ¼¡¿¡¾sitemap¡¿