Class information for:
Level 1: SHEARLETS//CURVELETS//DIRECTIONAL WAVELETS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
17462 598 22.5 41%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
568 3       COMPUTER AIDED GEOMETRIC DESIGN//ISOGEOMETRIC ANALYSIS//COMPUTER-AIDED DESIGN 16883
1602 2             APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS//FRAMES//GABOR FRAMES 7120
17462 1                   SHEARLETS//CURVELETS//DIRECTIONAL WAVELETS 598

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 SHEARLETS authKW 2620766 12% 71% 72
2 CURVELETS authKW 594127 5% 36% 32
3 DIRECTIONAL WAVELETS authKW 431458 2% 65% 13
4 ANALYSIS OF SINGULARITIES authKW 363100 1% 89% 8
5 COMPOSITE DILATION WAVELETS authKW 306368 1% 100% 6
6 PARABOLIC SCALING authKW 272321 1% 67% 8
7 WEDGELETS authKW 227450 1% 64% 7
8 RADON TRANSFORM authKW 212975 9% 8% 52
9 COORBIT SPACE THEORY authKW 212754 1% 83% 5
10 DUAL RADON TRANSFORM authKW 204245 1% 100% 4

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics, Applied 4363 34% 0% 205
2 Mathematics 3645 34% 0% 205
3 Physics, Mathematical 2387 18% 0% 108
4 Computer Science, Artificial Intelligence 688 9% 0% 56
5 Computer Science, Software Engineering 288 6% 0% 33
6 Mathematics, Interdisciplinary Applications 209 5% 0% 28
7 Imaging Science & Photographic Technology 186 3% 0% 16
8 Engineering, Electrical & Electronic 149 12% 0% 70
9 Physics, Multidisciplinary 36 5% 0% 32
10 Computer Science, Information Systems 21 2% 0% 13

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 MATH INFORMAT FB12 183816 1% 60% 6
2 COMPUTAT MATH SCI TECHNOL 131294 1% 43% 6
3 H NEUBRANDENBURG 87525 1% 29% 6
4 CAMPUS SINOP ICNHS 51061 0% 100% 1
5 COMPUTAT DATA ANAL 51061 0% 100% 1
6 COMPUTAT PL MATH GEOMATH IMAGING GRP 51061 0% 100% 1
7 ELIS MEDISIP IBITECH 51061 0% 100% 1
8 ENGG SCI TECH 51061 0% 100% 1
9 FRAUNHOFER IMAGE VIDEO CODING GRP 51061 0% 100% 1
10 GRP INVERSE PROBLEMS SCI TECHNOL 51061 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS 97794 7% 5% 41
2 JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 53943 5% 4% 30
3 INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING 19744 3% 2% 16
4 ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE 8664 2% 2% 10
5 IEEE TRANSACTIONS ON IMAGE PROCESSING 4473 4% 0% 22
6 SIAM JOURNAL ON IMAGING SCIENCES 3236 1% 1% 6
7 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 2322 2% 0% 13
8 JOURNAL OF MATHEMATICAL PHYSICS 2300 5% 0% 27
9 ELECTRONIC RESEARCH ANNOUNCEMENTS IN MATHEMATICAL SCIENCES 1853 0% 2% 2
10 AUTOMATIC CONTROL AND COMPUTER SCIENCES 1757 0% 2% 2

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 SHEARLETS 2620766 12% 71% 72 Search SHEARLETS Search SHEARLETS
2 CURVELETS 594127 5% 36% 32 Search CURVELETS Search CURVELETS
3 DIRECTIONAL WAVELETS 431458 2% 65% 13 Search DIRECTIONAL+WAVELETS Search DIRECTIONAL+WAVELETS
4 ANALYSIS OF SINGULARITIES 363100 1% 89% 8 Search ANALYSIS+OF+SINGULARITIES Search ANALYSIS+OF+SINGULARITIES
5 COMPOSITE DILATION WAVELETS 306368 1% 100% 6 Search COMPOSITE+DILATION+WAVELETS Search COMPOSITE+DILATION+WAVELETS
6 PARABOLIC SCALING 272321 1% 67% 8 Search PARABOLIC+SCALING Search PARABOLIC+SCALING
7 WEDGELETS 227450 1% 64% 7 Search WEDGELETS Search WEDGELETS
8 RADON TRANSFORM 212975 9% 8% 52 Search RADON+TRANSFORM Search RADON+TRANSFORM
9 COORBIT SPACE THEORY 212754 1% 83% 5 Search COORBIT+SPACE+THEORY Search COORBIT+SPACE+THEORY
10 DUAL RADON TRANSFORM 204245 1% 100% 4 Search DUAL+RADON+TRANSFORM Search DUAL+RADON+TRANSFORM

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 GUO, K , LABATE, D , (2013) THE CONSTRUCTION OF SMOOTH PARSEVAL FRAMES OF SHEARLETS.MATHEMATICAL MODELLING OF NATURAL PHENOMENA. VOL. 8. ISSUE 1. P. 82-105 21 84% 20
2 GUO, KH , LABATE, D , (2012) OPTIMALLY SPARSE REPRESENTATIONS OF 3D DATA WITH C-2 SURFACE SINGULARITIES USING PARSEVAL FRAMES OF SHEARLETS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS. VOL. 44. ISSUE 2. P. 851-886 20 87% 10
3 CZAJA, W , KING, EJ , (2012) ISOTROPIC SHEARLET ANALOGS FOR L-2(R-K) AND LOCALIZATION OPERATORS.NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION. VOL. 33. ISSUE 7-9. P. 872 -905 23 77% 6
4 CZAJA, W , KING, EJ , (2014) ANISOTROPIC SHEARLET TRANSFORMS FOR L-2(R-K).MATHEMATISCHE NACHRICHTEN. VOL. 287. ISSUE 8-9. P. 903 -916 17 89% 2
5 KUTYNIOK, G , LIM, WQ , REISENHOFER, R , (2016) SHEARLAB 3D: FAITHFUL DIGITAL SHEARLET TRANSFORMS BASED ON COMPACTLY SUPPORTED SHEARLETS.ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE. VOL. 42. ISSUE 1. P. - 18 64% 1
6 HOUSKA, R , LABATE, D , (2016) DETECTION OF BOUNDARY CURVES ON THE PIECEWISE SMOOTH BOUNDARY SURFACE OF THREE DIMENSIONAL SOLIDS.APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS. VOL. 40. ISSUE 1. P. 137 -171 15 83% 0
7 GROHS, P , KUTYNIOK, G , (2014) PARABOLIC MOLECULES.FOUNDATIONS OF COMPUTATIONAL MATHEMATICS. VOL. 14. ISSUE 2. P. 299-337 19 61% 10
8 ISHI, H , (2006) WAVELET TRANSFORMS FOR SEMIDIRECT PRODUCT GROUPS WITH NOT NECESSARILY COMMUTATIVE NORMAL SUBGROUPS.JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. VOL. 12. ISSUE 1. P. 37-52 16 94% 6
9 HAN, B , ZHUANG, XS , (2015) SMOOTH AFFINE SHEAR TIGHT FRAMES WITH MRA STRUCTURE.APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS. VOL. 39. ISSUE 2. P. 300 -338 18 64% 2
10 FELL, J , FUHR, H , VOIGTLAENDER, F , (2016) RESOLUTION OF THE WAVEFRONT SET USING GENERAL CONTINUOUS WAVELET TRANSFORMS.JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. VOL. 22. ISSUE 5. P. 997 -1058 14 82% 0

Classes with closest relation at Level 1


Rank Class id link
1 4664 GABOR FRAMES//MODULATION SPACES//FRAMES
2 4655 IMAGE DENOISING//DENOISING//NON LOCAL MEANS
3 6789 IMAGE FUSION//PANSHARPENING//PAN SHARPENING
4 4187 MULTIWAVELETS//REFINEMENT EQUATION//REFINABLE FUNCTIONS
5 18491 TECHNOL KYUSHU//UNITARY REPRESENTATIONS OF LOCALLY COMPACT LIE GROUPS//COADJOINT ORBIT
6 32546 POTENTIAL TYPE OPERATORS//APPROXIMATIVE INVERSE OPERATORS//METAHARMONIC SEMIGROUP
7 6184 GEOPHYSICS//MULTIPLE ATTENUATION//SEISM IMAGING MODELING
8 26119 HERMITE HEAT EQUATION//S CONVOLUTION//MEHLER KERNEL
9 13666 TURKU QUANTUM PHYS//JOINT MEASURABILITY//UNCERTAINTY RELATIONS
10 34713 RAMANUJAN SUBSPACES//XRAY PHYS IMAGING//MOJETTE TRANSFORM

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