Class information for:
Level 1: BIVARIATE SPLINES//TRIVARIATE SPLINES//DISCRETE QUASI INTERPOLANTS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
15840 689 19.2 39%


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
1419 2             COMPUTER AIDED GEOMETRIC DESIGN//ISOGEOMETRIC ANALYSIS//COMPUTER-AIDED DESIGN 7983
15840 1                   BIVARIATE SPLINES//TRIVARIATE SPLINES//DISCRETE QUASI INTERPOLANTS 689

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 BIVARIATE SPLINES authKW 1655015 8% 68% 55
2 TRIVARIATE SPLINES authKW 683744 3% 86% 18
3 DISCRETE QUASI INTERPOLANTS authKW 576122 2% 100% 13
4 PIECEWISE ALGEBRAIC CURVE authKW 553958 2% 83% 15
5 NORMALIZED B SPLINES authKW 531805 2% 100% 12
6 QUASI INTERPOLATION authKW 510067 6% 29% 40
7 POWELL SABIN SPLINES authKW 413616 2% 67% 14
8 MULTIVARIATE SPLINES authKW 407139 3% 44% 21
9 MATSI address 393907 3% 44% 20
10 BERNSTEIN BEZIER FORM authKW 356637 2% 62% 13

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 21262 69% 0% 475
2 Computer Science, Software Engineering 5047 20% 0% 138
3 Mathematics 1661 22% 0% 153
4 Computer Science, Interdisciplinary Applications 165 5% 0% 33
5 Computer Science, Theory & Methods 87 4% 0% 26
6 Mathematics, Interdisciplinary Applications 39 2% 0% 15
7 Imaging Science & Photographic Technology 5 1% 0% 4
8 Remote Sensing 2 0% 0% 3
9 Logic 1 0% 0% 1
10 Engineering, General 1 1% 0% 6

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 MATSI 393907 3% 44% 20
2 ESTO 157563 1% 44% 8
3 ESTO FSO 88634 0% 100% 2
4 MONODUKURI ENGN 88634 0% 100% 2
5 FR2956 79768 0% 60% 3
6 ECOLE SUPER TECHNOL 61534 1% 14% 10
7 UFR SCI TECHNOL COTE BASQUE 59088 0% 67% 2
8 ADV COMP GR H GRPGIGACOMP SCI 44317 0% 100% 1
9 ANTI URACO5 44317 0% 100% 1
10 CC HUMAN CENTERED VISUALIZAT 44317 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 COMPUTER AIDED GEOMETRIC DESIGN 80549 7% 4% 47
2 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 46472 15% 1% 103
3 LECTURE NOTES IN PURE AND APPLIED MATHEMATICS 44644 3% 5% 22
4 CONSTRUCTIVE APPROXIMATION 17795 3% 2% 20
5 JOURNAL OF APPROXIMATION THEORY 14965 5% 1% 34
6 JOURNAL OF COMPUTATIONAL MATHEMATICS 9560 2% 1% 17
7 NUMERISCHE MATHEMATIK 7832 3% 1% 23
8 BIT NUMERICAL MATHEMATICS 7593 2% 1% 16
9 NUMERICAL ALGORITHMS 7154 2% 1% 17
10 IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS 5694 3% 1% 18

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 BIVARIATE SPLINES 1655015 8% 68% 55 Search BIVARIATE+SPLINES Search BIVARIATE+SPLINES
2 TRIVARIATE SPLINES 683744 3% 86% 18 Search TRIVARIATE+SPLINES Search TRIVARIATE+SPLINES
3 DISCRETE QUASI INTERPOLANTS 576122 2% 100% 13 Search DISCRETE+QUASI+INTERPOLANTS Search DISCRETE+QUASI+INTERPOLANTS
4 PIECEWISE ALGEBRAIC CURVE 553958 2% 83% 15 Search PIECEWISE+ALGEBRAIC+CURVE Search PIECEWISE+ALGEBRAIC+CURVE
5 NORMALIZED B SPLINES 531805 2% 100% 12 Search NORMALIZED+B+SPLINES Search NORMALIZED+B+SPLINES
6 QUASI INTERPOLATION 510067 6% 29% 40 Search QUASI+INTERPOLATION Search QUASI+INTERPOLATION
7 POWELL SABIN SPLINES 413616 2% 67% 14 Search POWELL+SABIN+SPLINES Search POWELL+SABIN+SPLINES
8 MULTIVARIATE SPLINES 407139 3% 44% 21 Search MULTIVARIATE+SPLINES Search MULTIVARIATE+SPLINES
9 BERNSTEIN BEZIER FORM 356637 2% 62% 13 Search BERNSTEIN+BEZIER+FORM Search BERNSTEIN+BEZIER+FORM
10 BOX SPLINES 354985 4% 30% 27 Search BOX+SPLINES Search BOX+SPLINES

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 NURNBERGER, G , ZEILFELDER, F , (2000) DEVELOPMENTS IN BIVARIATE SPLINE INTERPOLATION.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 121. ISSUE 1-2. P. 125 -152 49 88% 32
2 SCHENCK, H , (2016) ALGEBRAIC METHODS IN APPROXIMATION THEORY.COMPUTER AIDED GEOMETRIC DESIGN. VOL. 45. ISSUE . P. 14 -31 27 96% 0
3 SPELEERS, H , (2015) A NEW B-SPLINE REPRESENTATION FOR CUBIC SPLINES OVER POWELL-SABIN TRIANGULATIONS.COMPUTER AIDED GEOMETRIC DESIGN. VOL. 37. ISSUE . P. 42 -56 23 96% 2
4 GROSELJ, J , KRAJNC, M , (2016) QUARTIC SPLINES ON POWELL-SABIN TRIANGULATIONS.COMPUTER AIDED GEOMETRIC DESIGN. VOL. 49. ISSUE . P. 1 -16 21 91% 0
5 BARRERA, D , IBANEZ, MJ , REMOGNA, S , (2017) ON THE CONSTRUCTION OF TRIVARIATE NEAR-BEST QUASI-INTERPOLANTS BASED ON C-2 QUARTIC SPLINES ON TYPE-6 TETRAHEDRAL PARTITIONS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 311. ISSUE . P. 252 -261 18 100% 0
6 SERGHINI, A , TIJINI, A , (2016) NEW APPROACH TO STUDY SPLINES BY BLOSSOMING METHOD AND APPLICATION TO THE CONSTRUCTION OF A BIVARIATE C-1 QUARTIC QUASI-INTERPOLANT.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 71. ISSUE 2. P. 529 -543 19 95% 0
7 GROELJ, J , (2016) A NORMALIZED REPRESENTATION OF SUPER SPLINES OF ARBITRARY DEGREE ON POWELL-SABIN TRIANGULATIONS.BIT NUMERICAL MATHEMATICS. VOL. 56. ISSUE 4. P. 1257 -1280 18 100% 0
8 SPELEERS, H , (2015) A FAMILY OF SMOOTH QUASI-INTERPOLANTS DEFINED OVER POWELL-SABIN TRIANGULATIONS.CONSTRUCTIVE APPROXIMATION. VOL. 41. ISSUE 2. P. 297 -324 19 90% 3
9 ZHU, CG , WANG, RH , (2011) THE CORRESPONDENCE BETWEEN MULTIVARIATE SPLINE IDEALS AND PIECEWISE ALGEBRAIC VARIETIES.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 236. ISSUE 5. P. 793-800 19 100% 1
10 SBIBIH, D , SERGHINI, A , TIJINI, A , (2015) SUPERCONVERGENT LOCAL QUASI-INTERPOLANTS BASED ON SPECIAL MULTIVARIATE QUADRATIC SPLINE SPACE OVER A REFINED QUADRANGULATION.APPLIED MATHEMATICS AND COMPUTATION. VOL. 250. ISSUE . P. 145 -156 18 95% 0

Classes with closest relation at Level 1


Rank Class id link
1 32188 SHEPARD OPERATOR//COMBINED SHEPARD OPERATORS//SHEPARD METHOD
2 17119 COMPUTER AIDED GEOMETRIC DESIGN//G1 CONTINUITY//SURFACE BLENDING
3 14835 ISOGEOMETRIC ANALYSIS//NURBS//T SPLINES
4 6227 RATIONAL SPLINE//SHAPE PRESERVATION//COMPUTER AIDED GEOMETRIC DESIGN
5 37702 GENERAL DYNAMIC SYSTEMS//HYPERSURFACE SPLINES//LARGE MAGNITUDE SEISMIC EVENTS
6 37464 ERDOS MORDELL INEQUALITY//FUNDAMENTAL TRIANGLE INEQUALITY//EULERS INEQUALITY
7 4187 MULTIWAVELETS//REFINEMENT EQUATION//REFINABLE FUNCTIONS
8 37501 COMBINATION TECHNIQUE//TWO SCALE DISCRETIZATION//SPARSE GRIDS
9 2981 METHOD OF FUNDAMENTAL SOLUTIONS//RADIAL BASIS FUNCTIONS//ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
10 21638 IDEAL PROJECTOR//KERGIN INTERPOLATION//RADON PROJECTIONS

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