Fractal image compression: theory & application to digital images
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| Format: | Buch |
| Sprache: | Undetermined |
| Veröffentlicht: |
New York ; Berlin ; Heidelberg ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest
Springer
1994
New York [u.a.] |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVIII, 341 S. zahlr. Ill. u. graph. Darst. |
| ISBN: | 3540942114 0387942114 |
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| 245 | 1 | 0 | |a Fractal image compression |b theory & application to digital images |c Yuval Fisher |
| 264 | 1 | |a New York ; Berlin ; Heidelberg ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest |b Springer |c 1994 | |
| 264 | 1 | |a New York [u.a.] |b Springer | |
| 300 | |a XVIII, 341 S. |b zahlr. Ill. u. graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1807323999686885376 |
|---|---|
| adam_text |
CONTENTS
PREFACE
V
THE
AUTHORS
IX
1
INTRODUCTION
1
Y.
FISHER
1.1
WHAT
IS
FRACTAL
IMAGE
COMPRESSION?
.
2
1.2
SELF-SIMILARITY
IN
IMAGES
.
7
1.3
A
SPECIAL
COPYING
MACHINE
.
10
1.4
ENCODING
IMAGES
.
*
12
1.5
WAYS
TO
PARTITION
IMAGES
.
14
1.6
IMPLEMENTATION
.
18
1.7
CONCLUSION
.
23
2
MATHEMATICAL
BACKGROUND
25
Y.
FISHER
2.1
FRACTALS
.
25
2.2
ITERATED
FUNCTION
SYSTEMS
.
28
2.3
RECURRENT
ITERATED
FUNCTION
SYSTEMS
.
39
2.4
IMAGE
MODELS
.
42
2.5
AFFINE
TRANSFORMATIONS
.
46
2.6
PARTITIONED
ITERATED
FUNCTION
SYSTEMS
.
46
2.7
ENCODING
IMAGES
.
48
2.8
OTHER
MODELS
.
52
3
FRACTAL
IMAGE
COMPRESSION
WITH
QUADTREES
55
Y.
FISHER
3.1
ENCODING
.
55
3.2
DECODING
.
59
3.3
SAMPLE
RESULTS
.
61
3.4
REMARKS
.
72
3.5
CONCLUSION
.
75
XVI
CONTENTS
4
ARCHETYPE
CLASSIFICATION
IN
AN
ITERATED
TRANSFORMATION
IMAGE
COMPRESSION
ALGORITHM
79
R.D.
BOSS
AND
E.W.
JACOBS
4.1
ARCHETYPE
CLASSIFICATION
.
79
4.2
RESULTS
.
82
4.3
DISCUSSION
.
86
5
HIERARCHICAL
INTERPRETATION
OF
FRACTAL
IMAGE
CODING
AND
ITS
APPLICATIONS
91
Z.
BAHARAV,
D.
MALAH,
AND
E.
KARNIN
5.1
FORMULATION
OF
PIFS
CODING/DECODING
.
92
5.2
HIERARCHICAL
INTERPRETATION
.
98
5.3
MATRIX
DESCRIPTION
OF
THE
PIFS
TRANSFORMATION
.
100
5.4
FAST
DECODING
.
102
5.5
SUPER-RESOLUTION
.
104
5.6
DIFFERENT
SAMPLING
METHODS
.
109
5.7
CONCLUSIONS
.
110
A
PROOF
OF
THEOREM
5.1
(ZOOM)
.
ILL
B
PROOF
OF
THEOREM
5.2
(PIFS
EMBEDDED
FUNCTION)
.
112
C
PROOF
OF
THEOREM
5.3
(FRACTAL
DIMENSION
OF
THE
PIFS
EMBEDDED
FUNCTION)
.
.
115
6
FRACTAL
ENCODING
WITH
HV
PARTITIONS
119
Y.
FISHER
AND
S.
MENLOVE
6.1
THE
ENCODING
METHOD
.
119
6T2
EFFICIENT
STORAGE
.
122
6.3
DECODING
.
123
6.4
RESULTS
.
126
6.5
MORE
DISCUSSION
.
134
6.6
OTHER
WORK
.
134
7
A
DISCRETE
FRAMEWORK
FOR
FRACTAL
SIGNAL
MODELING
137
L.
LUNDHEIM
7.1
SAMPLED
SIGNALS,
PIECES,
AND
PIECEWISE
SELF-TRANSFORMABILITY
.
138
7.2
SELF-TRANSFORMABLE
OBJECTS
AND
FRACTAL
CODING
.
142
7.3
EVENTUAL
CONTRACTIVITY
AND
COLLAGE
THEOREMS
.
143
7.4
AFFINE
TRANSFORMS
.
144
7.5
COMPUTATION
OF
CONTRACTIVITY
FACTORS
.
145
7.6
A
LEAST-SQUARES
METHOD
.
148
7.7
CONCLUSION
.
150
A
DERIVATION
OF
EQUATION
(7.9)
.
151
8
A
CLASS
OF
FRACTAL
IMAGE
CODERS
WITH
FAST
DECODER
CONVERGENCE
153
G.
E.
0IEN
AND
S.
LEPSPY
8.1
AFFINE
MAPPINGS
ON
FINITE-DIMENSIONAL
SIGNALS
.
154
8.2
CONDITIONS
FOR
DECODER
CONVERGENCE
.
156
8.3
IMPROVING
DECODER
CONVERGENCE
.
157
CONTENTS
XVII
8.4
COLLAGE
OPTIMIZATION
REVISITED
.
168
8.5
A
GENERALIZED
SUFFICIENT
CONDITION
FOR
FAST
DECODING
.
172
8.6
AN
IMAGE
EXAMPLE
.
174
8.7
CONCLUSION
.
174
9
FAST
ATTRACTOR
IMAGE
ENCODING
BY
ADAPTIVE
CODEBOOK
CLUSTERING
177
S.
LEPSOY
AND
G.
E.
0IEN
9.1
NOTATION
AND
PROBLEM
STATEMENT
.
178
9.2
COMPLEXITY
REDUCTION
IN
THE
ENCODING
STEP
.
179
9.3
HOW
TO
CHOOSE
A
BLOCK
.
181
9.4
INITIALIZATION
.
182
9.5
TWO
METHODS
FOR
COMPUTING
CLUSTER
CENTERS
.
186
9.6
SELECTING
THE
NUMBER
OF
CLUSTERS
.
189
9.7
EXPERIMENTAL
RESULTS
.
192
9.8
POSSIBLE
IMPROVEMENTS
.
197
9.9
CONCLUSION
.
197
10
ORTHOGONAL
BASIS
IFS
199
G.
VINES
10.1
ORTHONORMAL
BASIS
APPROACH
.
201
10.2
QUANTIZATION
.
208
10.3
CONSTRUCTION
OF
CODERS
.^09
10.4
COMPARISON
OF
RESULTS
.
209
10.5
CONCLUSION
.
214
11
A
CONVERGENCE
MODEL
215
B.
BIELEFELD
AND
Y.
FISHER
11.1
THE
R
OPERATOR
.
215
11.2
L
P
CONVERGENCE
OF
THE
RIFS
MODEL
.
218
11.3
ALMOST
EVERYWHERE
CONVERGENCE
.
223
11.4
DECODING
BY
MATRIX
INVERSION
.
227
12
LEAST-SQUARES
BLOCK
CODING
BY
FRACTAL
FUNCTIONS
229
F.
DUDBRIDGE
12.1
FRACTAL
FUNCTIONS
.
229
12.2
LEAST-SQUARES
APPROXIMATION
.
232
12.3
CONSTRUCTION
OF
FRACTAL
APPROXIMATION
.
237
12.4
CONCLUSION
.240
13
INFERENCE
ALGORITHMS
FOR
WFA
AND
IMAGE
COMPRESSION
243
K.
CULIK
11
AND
J.
KARI
13.1
IMAGES
AND
WEIGHTED
FINITE
AUTOMATA
.
244
13.2
THE
INFERENCE
ALGORITHM
FOR
WFA
.
250
13.3
A
FAST
DECODING
ALGORITHM
FOR
WFA
.
253
13.4
A
RECURSIVE
INFERENCE
ALGORITHM
FOR
WFA
.
254
XVIII
CONTENTS
A
SAMPLE
CODE
259
K
FISHER
A.
1
THE
ENC
MANUAL
PAGE
.259
A.2
THE
DEC
MANUAL
PAGE
.262
A.3
ENC.C
.264
A.4
DEC.C
.278
A.5
THE
ENCODING
PROGRAM
.
286
A.6
THE
DECODING
PROGRAM
.289
A.7
POSSIBLE
MODIFICATIONS
.
290
B
EXERCISES
293
Y.
FISHER
C
PROJECTS
297
Y.
FISHER
C.L
DECODING
BY
MATRIX
INVERSION
.297
C.2
LINEAR
COMBINATIONS
OF
DOMAINS
.
297
C.3
POSTPROCESSING:
OVERLAPPING,
WEIGHTED
RANGES,
AND
TILT
.
298
C.4
ENCODING
OPTIMIZATION
.299
C.5
THEORETICAL
MODELING
FOR
CONTINUOUS
IMAGES
.299
C.6
SCAN-LINE
FRACTAL
ENCODING
.300
C.7
VIDEO
ENCODING
.
300
C.8
SINGLE
ENCODING
OF
SEVERAL
FRAMES
.
300
C.9
EDGE-BASED
PARTITIONING
.
301
C.10
CLASSIFICATION
SCHEMES
.
301
'C.L
L
FROM
CLASSIFICATION
TO
MULTI-DIMENSIONAL
KEYS
.
302
D.
SAUPE
C.L
2
POLYGONAL
PARTITIONING
.
305
C.L
3
DECODING
BY
PIXEL
CHASING
.
305
C.
14
SECOND
ITERATE
COILAGING
.
307
C.L
5
RECTANGULAR
IFS
PARTITIONING
.
307
C.L
6
HEXAGONAL
PARTITIONING
.
308
C.L
7
PARALLEL
PROCESSING
.
309
C.18
NON-CONTRACTIVE
IFSS
.
309
D
COMPARISON
OF
RESULTS
311
Y
FISHER
E
ORIGINAL
IMAGES
317
BIBLIOGRAPHY
325
INDEX
331 |
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| author2 | Fisher, Yuval |
| author2_role | edt |
| author2_variant | y f yf |
| author_facet | Fisher, Yuval |
| building | Verbundindex |
| bvnumber | BV023688566 |
| ctrlnum | (OCoLC)915824928 (DE-599)BVBBV023688566 |
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| id | DE-604.BV023688566 |
| illustrated | Illustrated |
| indexdate | 2024-08-14T01:21:17Z |
| institution | BVB |
| isbn | 3540942114 0387942114 |
| language | Undetermined |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017189130 |
| oclc_num | 915824928 |
| open_access_boolean | |
| owner | DE-522 |
| owner_facet | DE-522 |
| physical | XVIII, 341 S. zahlr. Ill. u. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Springer |
| record_format | marc |
| spelling | Fractal image compression theory & application to digital images Yuval Fisher New York ; Berlin ; Heidelberg ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest Springer 1994 New York [u.a.] Springer XVIII, 341 S. zahlr. Ill. u. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Fraktal (DE-588)4123220-3 gnd rswk-swf Digitaltechnik (DE-588)4012303-0 gnd rswk-swf Datenkompression (DE-588)4121121-2 gnd rswk-swf Bildverarbeitung (DE-588)4006684-8 gnd rswk-swf Bildverarbeitung (DE-588)4006684-8 s Datenkompression (DE-588)4121121-2 s Fraktal (DE-588)4123220-3 s 1\p DE-604 Digitaltechnik (DE-588)4012303-0 s 2\p DE-604 Fisher, Yuval edt DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017189130&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Fractal image compression theory & application to digital images Fraktal (DE-588)4123220-3 gnd Digitaltechnik (DE-588)4012303-0 gnd Datenkompression (DE-588)4121121-2 gnd Bildverarbeitung (DE-588)4006684-8 gnd |
| subject_GND | (DE-588)4123220-3 (DE-588)4012303-0 (DE-588)4121121-2 (DE-588)4006684-8 |
| title | Fractal image compression theory & application to digital images |
| title_auth | Fractal image compression theory & application to digital images |
| title_exact_search | Fractal image compression theory & application to digital images |
| title_full | Fractal image compression theory & application to digital images Yuval Fisher |
| title_fullStr | Fractal image compression theory & application to digital images Yuval Fisher |
| title_full_unstemmed | Fractal image compression theory & application to digital images Yuval Fisher |
| title_short | Fractal image compression |
| title_sort | fractal image compression theory application to digital images |
| title_sub | theory & application to digital images |
| topic | Fraktal (DE-588)4123220-3 gnd Digitaltechnik (DE-588)4012303-0 gnd Datenkompression (DE-588)4121121-2 gnd Bildverarbeitung (DE-588)4006684-8 gnd |
| topic_facet | Fraktal Digitaltechnik Datenkompression Bildverarbeitung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017189130&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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