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JacquinÔÚ ËûµÄÂÛÎÄÖÐÌá³ö£¬Ò»¸öͼÏñ ²»Ó¦¸ÃÈÏΪ ÊÇ Õû¸öͼÏñµÄ ±äÐο½±´ºÍÕ³Ìù£¬¶øÓ¦¸ÃÊÇ Í¼ÏñµÄ С²¿·ÖµÄ ±äÐο½±´ºÍÕ³Ìù¡£ÀýÈç£¬ÔÆµÄ Ò»²¿·Ö µ±È»²»»áÏñ ´øÓÐÔÆµÄ Õû¸ö·ç¾°£¬µ« È´¿ÉÄÜ ·¢ÏÖÔÆ »òÆäËü½á¹¹µÄ ÁíһС²¿·Ö ¿´ÆðÀ´ÏñÔÆ£¬ÓÉ´Ë´òÆÆÁË È«¾Öµü´úº¯Êý Ó³Éä µÄ ½©Ó²¹Ûµã£¬Îª ͼÏñѹËõÑо¿ ´øÀ´ÁË Ðµķ½Ïò¡£ËûʵÏÖÁË µÚÒ»¸ö ×Ô¶¯·ÖÐÎѹËõ ϵͳ£¬Èçͼ4.1Ëùʾ£¬Ê×ÏÈ °ÑͼÏñ »®·Ö³É ¹Ì¶¨´óСµÄ·½¿é£¬È»ºó¶Ô ÿ¸öС¿é ѰÕÒÆ¥ÅäµÄ ͼÏñÇøÓò¡£ÕâÖÖ ¹¹Ôì ±»³ÆÎª ¾Ö²¿µÄ »ò·ÖÇøµÄ µü´úº¯Êýϵͳ¡£
Jacquin proposed in this paper that a image should not be regarded as the anamorphic copy and paste version of the whole image,but should be regarded as the anamorphic copy and paste version of a small part of whole image. For example, a small part of cloud is surely not like the whole scenery where the cloud is included, but it may probably find that a small part of cloud or other structure looks like the cloud. Therefore the opinion of global iteration function mapping was broken, charting a new approach for image compression study. He is the first one who realizes the automatic fractal compression system shown in Fig.4.1. First, the image is divided into blocks in a constant size, the each block seeks the matched image region. Such structure is called the regional or divisional IFS.

Ϊ ÿһ¸öС¿é ѰÕÒ Æ¥ÅäµÄ ͼÏñÇøÓò£¬Êµ¼ÊÉÏ ¾ÍÊÇѰÕÒ ¸ÃС¿éµÄ ¾Ö²¿µü´úº¯Êýϵͳ»ò Éú³ÉÔª£¬°Ñ ¸ÃͼÏñÇøÓò ³ÆÎª ¶¨ÒåÓò¿é£¨domain¿é£© £¬¶ø °ÑҪƥÅäµÄ ÿ¸öС¿é³Æ Ϊ ÖµÓò¿é(range¿é)  ¡£Ò»°ã ËùÑ¡¶¨ÒåÓò¿é µÄ±ß³¤ ΪֵÓò¿é±ß³¤ µÄÁ½±¶´óС£¬Òª°ÑËü ÊÕËõµ½ ºÍ ÖµÓò¿é Ò»Ñù´óСºó ²Å¿ÉÒÔ Æ¥ÅäÖµÓò¿é¡£ÓÉÇ°ÃæËùÊö£¬Éú³ÉÔª Ó³ÉäÐÎ Èç , ÆäÖÐ aΪѹËõϵÊý£¬ bÎªÆ«ÒÆÁ¿£¬c ΪÊÕËõºóµÄ ¶¨ÒåÓò¿é£¬³ÆÎª ´úÂë±¾¿é£¬d ΪάÊýÓë Ò»Ö嵀 µ¥Î»ÏòÁ¿¡£Æ¥Åä¹ý³Ì ¾ÍÊÇѰÕÒ c£¬Ê¹Ö®Âú×ã·½³Ì1 ¡£
Actually, seeking the matched image region for each block is to reach the local iteration function system or the generating element for each block. The image region is called domain block, while each block is called range block. Normally, the side length of domain block is twice larger than that of range block, the two blocks can be matched with each other after their side lengths are equal. Based on former analysis, the generating element mapping is like..., wherein, a is the compression coefficient, b is offset, c is the domain block after compression, which is called codebook block, d is the  unit vector with the same dimensions as that of....The matching process is actually the process of seeking c, making it meet the equation 1.
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