5-3小波實(shí)現(xiàn)實(shí)例說(shuō)明

1、pan hxi2013/01/24（如有問(wèn)題，歡迎來(lái)信）1. 隨機(jī)生成16X 16的8-bit深度的bmp圖像。for 1 = 0; i < 16; +±)for j 0; j < 16: +j dacai*16+j = i * j;2. 預(yù)處理對(duì)上一步隨機(jī)生成的圖像進(jìn)行預(yù)處理，讓每一像素值減去128，使得像素值圍繞0分布,取值范圍變?yōu)?128, 127。'128-113-98-83-68'53'3B-23-87223752673297-12 8-114-100-8-6-72-5S-30-16-21226405463°2'1281

2、15'S3-76'50'37'1121525陰67亠丄前*116-104-6S-S6-44-32-20-S電16284052'128'117-73'51-40-13-7§152五37-118-108-es-6B-5fl-48-3S-lfi21222'128119110101-弱'30-20'11=27128-12D-112*104亠RD*72-64-32-1百-8-12 S121107-100-93«8 6-79«72-65-5851-30-2 3-128-122-116-110-10

3、4-92-S6-80-74-62-56-50-44-3&-12 S-123-116-113-108-113-90-93-88-83-73-73-<8-58-53-126-124-120-116-112-108-104-100-9百-52-98-S0-?-72-ee-12 0-125122119-116113110107-104-101-9B959289-B6-B3-128-126-124-122-120-11B-116-114-112-110-108-106-104-102-100-98-12 6127-126-125-124-12 3-122-121-120-119-11011

4、7-11-6-115-114-113-128-12B-128-128-128-12S-129-128-128-12S-12B-12B-128-128-12S-12 B3. Le Gall 5/3離散小波變換第一層變換后結(jié)果-128-98 63-30=822528«000000015-128-102-76-5D-2 42285700000013-128-1Q6-84-62-40-18429000Q00011-128-二-92一“-56-38-2000a00009-128-114-1Q0-72'58-28000Q0007-128-118-10B-9B-B8-7S-68-5700Q

5、005-128-122-116-110-10-98-92-850D000003-128-126-125123122-12 0-119-117D00Q000000000000000000000000000D000000000000000000Q00000000000000000000Q00000000000000000000000000000000000000000000000-2_4-1012-140000000亠1第二層變換后結(jié)果第三層變換后結(jié)果-128906900034000000015-127-7412700025000000130廿0000Q16000Q000110-410-21001

6、600Q000900000000000Q000100'000Q0000000'50000000000000003i-a-17-2S111-S000Q000000000000D0000000000000000000000000000000000Q00000000000000000000000000000000000000000000000000000000000000000000-2-6-10-12-140000000第四層變換后結(jié)果-799506900034000000015-41-84127000250000000130000000160000000110-410-21001

7、60000009000000000000Q00700000Q0000000005Q0000000000000031二育二17-28111=500Q00000000000000000000000000000000000Q00000000000Q0000000000000000000QQ0000000000Q000000000000000000G00000001 0000000000-2-6-S-10-12-140000000-14. 5/3變換詳細(xì)說(shuō)明為了簡(jiǎn)化計(jì)算，使用數(shù)據(jù)量最小的第四層變換（2X 2的矩陣）來(lái)說(shuō)明Le Gall 5/3 DWT的計(jì)-799S-41-e算過(guò)程。| -1269-12

8、7 亠"步驟一：dwt行變換第一行的像素值為R0-128, 9，為了處理邊界像素，需要進(jìn)行邊界延拓如下,x，x ±,x0,x1,X2，即-128, 9, -128, 9, -128根據(jù)變換公式計(jì)算:y1X0 +X2X1-2=137=-79=-79=137Xq +x°y 丄=x4-2y。=-59第一行R0經(jīng)過(guò)5/3dwt變換，結(jié)果為-59, 137。同理，對(duì)第二行 R1-127, -74進(jìn)行5/3dwt變換，結(jié)果為-41,-84 經(jīng)過(guò)行變換后的像素?cái)?shù)據(jù)變?yōu)?37-74=-79=-79步驟二：dwt列變換 第一列的像素值為 C0-59, -127，同樣進(jìn)行邊界延拓，得到x , x _l, x0, Xi, x2 ，即-59,-100,-59,-100,-59根據(jù)變換