HIGH-RESOLUTION STILL PICTURE COMPRESSION MladEn VictoR ...

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Sep 27, 1993 - cause of the file sizes involved, transmitting images will always ... A digitally sampled image can only represent a band-limited function, since ...... transformed pixel values will always have the same sign, or when 0 plays no ...

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C30 Scaling or father function



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Higher frequency C30 wavelet packets

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Basis of subbands at one level

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Multiresolution or wavelet basis

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Adapted subband or wavelet packet basis

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W(0, 0)

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F2 F3

W(1, L) W(2, L) W(3, L) W(4, L) W(5, L)

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ï ÞHÓ1ï×[Á æ ñÑ1élð â Þ¦Ñ1Ò¾ñ â Þ/élé*)qÞHí â ðÁ æ í(Ñ1è+)1Á æ ñ>ñHÞHÑ1Ò Õ‘á LFtK_lSULFcDV˜GHRDCFGCN/c+JDTGHS[LFJ6Ζ‡ˆSUGHR[email protected]ž[email protected]‰Kc+SUVHS[[email protected]ž[email protected]@WV@flS[VHGHVm( ˆ[email protected]žVHcDEHBDEHS[VHS[JD\CFJDN/[email protected] [email protected]T@WJKG‚+SUVHTWL>[email protected]` LFNICFJK`VHcDTrRNcDJDTWGHSULFJDV“H¢ ?€[email protected]TrRDS[@VH¤aX:¢ OoCF}U}[CFGH¤‘X(¢ [email protected]`[email protected]EH¤;CQJ+[email protected]EHV•CF}[VHLBDEHL_lSU[email protected]CNCQVHG’“”‹P•CQ}[\FLFEHSUGHRDI°GHL TLFI[email protected][email protected]S[[email protected]^‡C[email protected]}[@GˆGHEHCFJDVHNLQEHIVm  ˆ[email protected]‡C[email protected]}[email protected]tDCFVHSUV†DL‡ˆJ«GHLô}[email protected][email protected]‚} ¾TWLFJDVHSUVHGHV†[email protected]@W}[email protected]@JKGHVVHBDCFJDJDS[JD\[email protected]+T V Bü“H g OgF•H”X Bü“v O>gF•HX Bü“pO>gF•HX=Bü“H$g O¦v1•H=X Bü“v O¦v1•HX Bü“p OHv1•H{X Q?Q Q(X Bü“H$g O o gQ•H=X Bü“v O o gF•H=X Bü“p O o gF•HX Bü“H$g O˜•HX Bü“v O˜•H=X Bü“p O˜•DCFJD [email protected]ž}[CQEH\[email protected]ƒVHTCF}[email protected]žC[email protected]EHCF\Fš@ Bü“s O˜•Hm( ˆ[email protected]žBDS[[email protected]}q_öCF}[email protected]‚IC`[email protected]žGHEHCFJDVHNLQEHI@W SUJlGHLuGHRDS[VtDCFVHSUV_lS[[email protected]žvFƒDSUI@WJDVHSULFJDCF} [email protected]EHVHS[LFJLFN[email protected]¨©BK`lEHCFISU[email protected]@ª[email protected]VHTEHS[[email protected]S[J6¢ OoCF}U}[CFGH¤‘mM´˜EHCFBDRDS[TCF}[}U`lXlGHRDS[VˆS[Vˆ[email protected]LQ}[}[L>‡ˆS[JD\1Ÿ Averages:

W(0, 0)

F0

W(0, 1)

F1

F1 W(1,1)

Details:

F2

F2 W(2,1)

F0



...

F0

W(0, L-1)

W(2,2)

F0

W(0,L)

F1 W(1,3)

F2 W(3,2)

W(3,1)

F0

F1 W(1,2)

F3

F3

W(0, 2)

W(2,3)

W(1,L)

...

F3 W(3,3)

F2 W(2,L) F3 W(3,L)

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V•HXKLQEˆ‡ˆ[email protected]J†[email protected] [email protected]ƒGHLFƒ[email protected]@[email protected]}[@[email protected]}SUV [email protected]JoCFJD[email protected]}[@[email protected]}[Vž}[SUVHGžS[V J&$g O?Q Q?Q?O>Mg S“ h  Mg ` V•Hm ˆ[email protected][email protected][JDNLFEHICFGHS[LFJ‡ˆS[}U}CF}UVHL [email protected] TLFI[email protected]@^}ULFVHVH}[@VHVH}[`CFVˆBDCFEHGˆLFN[email protected]LFI[email protected]VHVHS[LFJ^CF}[\QLFEHS[GHRDIoXKCFJD^[email protected][email protected][email protected]@Dc+JDDCFJDT`S[Jt1LFGHRLFN[email protected]@ T[email protected]ˆ[email protected]}ULFVHVH}[@VHVMTWLFI[email protected]VHVHS[LQJ‡ˆSU}[};[email protected]@[email protected]I@W}U` @W­TS[@JKGm n@G€c+V€TLFJDVHS[[email protected]EACFJ@flCFIBD}[@Km€[email protected]GHRDCFG€[email protected]BDS[T[email protected]TWLQJ+VHSUVHGHVLQN‚C†VHS[JD\F}[email protected]‡C>[email protected]}[email protected]€BDCFTiœ[email protected]GAN/EHLFIVHcDtDt+CQJ+ Büˆ“ pO¦p1•‚“S‘m 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3

3

3

3

2 1

(1,1) (2,2)

2

(3,2)

(2,1)

(3,1)

Subband index: (frequency, level)

P

2

3

4

5

1

(6,3) (7,3)

6

2

1

1

Decomposition level of each subband

8

7

9

10

Depth-first search encounter order

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Scanned image

Divide into (smooth) BxB blocks

Encode basis choice

Find best basis DCT (I or IV)

For B= ...8, 16,32,...

M e m o r y

X

Quantize transform values

Combine data streams and remove redundancy

Storage

Adapted block discrete/local cosine transform

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80 70

S/N (dB)

60 50

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40 30 20 10 0 0.01

0.1

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