Class information for:
Level 1: RATIONAL SPLINE//SHAPE PRESERVATION//COMPUTER AIDED GEOMETRIC DESIGN

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
6227 1511 17.9 40%


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
6227 1                   RATIONAL SPLINE//SHAPE PRESERVATION//COMPUTER AIDED GEOMETRIC DESIGN 1511

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 RATIONAL SPLINE authKW 818375 3% 90% 45
2 SHAPE PRESERVATION authKW 710730 4% 64% 55
3 COMPUTER AIDED GEOMETRIC DESIGN journal 497871 11% 14% 173
4 SHAPE PRESERVING authKW 313482 2% 48% 32
5 SHAPE PRESERVING INTERPOLATION authKW 296355 1% 67% 22
6 KNOT INSERTION authKW 293686 2% 58% 25
7 EXTENDED CHEBYSHEV SPACES authKW 282898 1% 100% 14
8 B SPLINE CURVE authKW 276587 2% 37% 37
9 CHEBYSHEV SPACES authKW 264037 1% 93% 14
10 DEGREE ELEVATION authKW 252935 2% 48% 26

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 Computer Science, Software Engineering 40392 38% 0% 571
2 Mathematics, Applied 21469 47% 0% 714
3 Mathematics 1300 14% 0% 211
4 Computer Science, Theory & Methods 444 5% 0% 81
5 Computer Science, Interdisciplinary Applications 187 4% 0% 55
6 Engineering, General 125 3% 0% 41
7 Engineering, Marine 119 1% 0% 8
8 Mathematics, Interdisciplinary Applications 100 2% 0% 35
9 Computer Science, Information Systems 75 2% 0% 37
10 Computer Science, Artificial Intelligence 73 2% 0% 37

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 DESCRIPT GEOMETRY 118857 1% 59% 10
2 COMP GR H IMAGE PROC 48097 1% 24% 10
3 EXPT COMMAND 45464 0% 75% 3
4 ASHA COMP GR H ANIMAT 40414 0% 100% 2
5 COMP IMAGE PROC 40414 0% 100% 2
6 MODELISAT CALCUL 39582 1% 14% 14
7 JEAN KUNTZMANN 39162 2% 7% 28
8 DIPARTIMENTO SCI MATEMAT INFORMAT 34127 1% 13% 13
9 IMAG 31292 2% 6% 25
10 MATH SCI IND ENGN 26941 0% 67% 2

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 497871 11% 14% 173
2 COMPUTER-AIDED DESIGN 135186 9% 5% 142
3 JOURNAL OF APPROXIMATION THEORY 28917 5% 2% 70
4 CONSTRUCTIVE APPROXIMATION 17040 2% 3% 29
5 COMPUTING 15784 3% 2% 38
6 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 15361 6% 1% 88
7 LECTURE NOTES IN PURE AND APPLIED MATHEMATICS 15161 1% 4% 19
8 IEEE COMPUTER GRAPHICS AND APPLICATIONS 14469 2% 2% 34
9 NUMERICAL ALGORITHMS 11549 2% 2% 32
10 BIT NUMERICAL MATHEMATICS 10592 2% 2% 28

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 RATIONAL SPLINE 818375 3% 90% 45 Search RATIONAL+SPLINE Search RATIONAL+SPLINE
2 SHAPE PRESERVATION 710730 4% 64% 55 Search SHAPE+PRESERVATION Search SHAPE+PRESERVATION
3 SHAPE PRESERVING 313482 2% 48% 32 Search SHAPE+PRESERVING Search SHAPE+PRESERVING
4 SHAPE PRESERVING INTERPOLATION 296355 1% 67% 22 Search SHAPE+PRESERVING+INTERPOLATION Search SHAPE+PRESERVING+INTERPOLATION
5 KNOT INSERTION 293686 2% 58% 25 Search KNOT+INSERTION Search KNOT+INSERTION
6 EXTENDED CHEBYSHEV SPACES 282898 1% 100% 14 Search EXTENDED+CHEBYSHEV+SPACES Search EXTENDED+CHEBYSHEV+SPACES
7 B SPLINE CURVE 276587 2% 37% 37 Search B+SPLINE+CURVE Search B+SPLINE+CURVE
8 CHEBYSHEV SPACES 264037 1% 93% 14 Search CHEBYSHEV+SPACES Search CHEBYSHEV+SPACES
9 DEGREE ELEVATION 252935 2% 48% 26 Search DEGREE+ELEVATION Search DEGREE+ELEVATION
10 BLOSSOMS 224505 1% 56% 20 Search BLOSSOMS Search BLOSSOMS

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 HAN, XL , (2015) SHAPE-PRESERVING PIECEWISE RATIONAL INTERPOLANT WITH QUARTIC NUMERATOR AND QUADRATIC DENOMINATOR.APPLIED MATHEMATICS AND COMPUTATION. VOL. 251. ISSUE . P. 258 -274 35 100% 2
2 ZHU, YP , HAN, XL , (2015) NEW TRIGONOMETRIC BASIS POSSESSING EXPONENTIAL SHAPE PARAMETERS.JOURNAL OF COMPUTATIONAL MATHEMATICS. VOL. 33. ISSUE 6. P. 642 -684 38 93% 0
3 ZHU, YP , HAN, XL , LIU, SJ , (2015) CURVE CONSTRUCTION BASED ON FOUR ALPHA BETA-BERNSTEIN-LIKE BASIS FUNCTIONS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 273. ISSUE . P. 160 -181 30 91% 4
4 GALVEZ, A , IGLESIAS, A , (2016) PARTICLE-BASED META-MODEL FOR CONTINUOUS BREAKPOINT OPTIMIZATION IN SMOOTH LOCAL-SUPPORT CURVE FITTING.APPLIED MATHEMATICS AND COMPUTATION. VOL. 275. ISSUE . P. 195 -212 31 86% 0
5 ZHU, YP , HAN, X , (2014) CURVES AND SURFACES CONSTRUCTION BASED ON NEW BASIS WITH EXPONENTIAL FUNCTIONS.ACTA APPLICANDAE MATHEMATICAE. VOL. 129. ISSUE 1. P. 183-203 28 97% 3
6 MAZURE, ML , (2016) DESIGN WITH QUASI EXTENDED CHEBYSHEV PIECEWISE SPACES.COMPUTER AIDED GEOMETRIC DESIGN. VOL. 47. ISSUE . P. 3 -28 25 100% 0
7 GALVEZ, A , IGLESIAS, A , (2013) FIREFLY ALGORITHM FOR EXPLICIT B-SPLINE CURVE FITTING TO DATA POINTS.MATHEMATICAL PROBLEMS IN ENGINEERING. VOL. . ISSUE . P. - 28 93% 3
8 MAZURE, ML , (2013) PIECEWISE CHEBYSHEV-SCHOENBERG OPERATORS: SHAPE PRESERVATION, APPROXIMATION AND SPACE EMBEDDING.JOURNAL OF APPROXIMATION THEORY. VOL. 166. ISSUE . P. 106-135 30 88% 0
9 HAN, XL , ZHU, YP , (2016) A PRACTICAL METHOD FOR GENERATING TRIGONOMETRIC POLYNOMIAL SURFACES OVER TRIANGULAR DOMAINS.MEDITERRANEAN JOURNAL OF MATHEMATICS. VOL. 13. ISSUE 2. P. 841 -855 25 96% 0
10 CAO, J , WANG, GZ , (2011) NON-UNIFORM B-SPLINE CURVES WITH MULTIPLE SHAPE PARAMETERS.JOURNAL OF ZHEJIANG UNIVERSITY-SCIENCE C-COMPUTERS & ELECTRONICS. VOL. 12. ISSUE 10. P. 800-808 26 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 17119 COMPUTER AIDED GEOMETRIC DESIGN//G1 CONTINUITY//SURFACE BLENDING
2 5398 COMPUTER AIDED GEOMETRIC DESIGN//PYTHAGOREAN HODOGRAPH CURVES//DEGREE REDUCTION
3 14999 SUBDIVISION SURFACES//SUBDIVISION SCHEMES//SUBDIVISION
4 15840 BIVARIATE SPLINES//TRIVARIATE SPLINES//DISCRETE QUASI INTERPOLANTS
5 26624 3D IMAGE INTERPOLATION//BRANCHING SURFACES//SHAPE BASED INTERPOLATION
6 6367 REVERSE ENGINEERING//COORDINATE MEASURING MACHINE//CMM
7 36225 LINEAR RECURSION EQUATION//OPTIMAL INTERPOLATING SPLINES//OPTIMAL SMOOTHING SPLINES
8 14835 ISOGEOMETRIC ANALYSIS//NURBS//T SPLINES
9 26953 LIE QUADRATIC//RIEMANNIAN CUBIC//COMP SCI GRP COMP SCI
10 32188 SHEPARD OPERATOR//COMBINED SHEPARD OPERATORS//SHEPARD METHOD

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