Class information for:
Level 1: LIE QUADRATIC//RIEMANNIAN CUBIC//MOTION FAIRING

Basic class information

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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
585 3       COMPUTER AIDED GEOMETRIC DESIGN//ISOGEOMETRIC ANALYSIS//COMPUTER-AIDED DESIGN 15448
1311 2             COMPUTER AIDED GEOMETRIC DESIGN//ISOGEOMETRIC ANALYSIS//COMPUTER-AIDED DESIGN 8856
27671 1                   LIE QUADRATIC//RIEMANNIAN CUBIC//MOTION FAIRING 244

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 LIE QUADRATIC authKW 516669 2% 100% 4
2 RIEMANNIAN CUBIC authKW 516669 2% 100% 4
3 MOTION FAIRING authKW 258334 1% 100% 2
4 PROJECTIVE GEOMETRIC ALGEBRA authKW 258334 1% 100% 2
5 RIEMANNIAN CUBIC IN TENSION authKW 258334 1% 100% 2
6 VARIATIONAL CURVE DESIGN authKW 258334 1% 100% 2
7 UNIT QUATERNIONS authKW 187874 2% 36% 4
8 INTERPOLATION ON MANIFOLDS authKW 172222 1% 67% 2
9 ORIENTATION INTERPOLATION authKW 172222 1% 67% 2
10 MOTION DESIGN authKW 153763 2% 24% 5

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Robotics 2728 10% 0% 24
2 Computer Science, Software Engineering 1876 20% 0% 50
3 Mathematics, Applied 1081 27% 0% 66
4 Engineering, Mechanical 521 16% 0% 38
5 Automation & Control Systems 383 9% 0% 21
6 Physics, Mathematical 222 9% 0% 22
7 Mathematics 168 13% 0% 31
8 Computer Science, Artificial Intelligence 79 5% 0% 13
9 Engineering, General 32 3% 0% 8
10 Computer Science, Theory & Methods 29 4% 0% 9

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 AUTOMAT LEARNING MED ROBOT CAL MR 129167 0% 100% 1
2 FRE 2729CNRS 129167 0% 100% 1
3 GRP GEOMETR MODELING IND GEOMETRY 129167 0% 100% 1
4 IMAGIS IMAG 129167 0% 100% 1
5 IRISA RENNES 129167 0% 100% 1
6 MATH SCICSIC 129167 0% 100% 1
7 PEOPLE ROBOTS INITIAT 129167 0% 100% 1
8 TECHNOL PROGRAMMING 129167 0% 100% 1
9 UC BERKELEY INFORMAT TECHNOL INTE T SOC CIT 129167 0% 100% 1
10 MATH MA 8 3 103331 1% 40% 2

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF MECHANICAL DESIGN 22622 10% 1% 24
2 JOURNAL OF VISUALIZATION AND COMPUTER ANIMATION 16636 2% 3% 5
3 JOURNAL OF GEOMETRIC MECHANICS 11938 2% 2% 4
4 COMPUTER-AIDED DESIGN 5084 5% 0% 11
5 IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION 4711 2% 1% 5
6 COMPUTER AIDED GEOMETRIC DESIGN 3705 2% 0% 6
7 ADVANCES IN COMPUTATIONAL MATHEMATICS 3586 2% 1% 4
8 JOURNAL OF MECHANISMS AND ROBOTICS-TRANSACTIONS OF THE ASME 3162 2% 1% 4
9 MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS 2467 1% 1% 3
10 IEEE TRANSACTIONS ON ROBOTICS AND AUTOMATION 2203 2% 0% 5

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 LIE QUADRATIC 516669 2% 100% 4 Search LIE+QUADRATIC Search LIE+QUADRATIC
2 RIEMANNIAN CUBIC 516669 2% 100% 4 Search RIEMANNIAN+CUBIC Search RIEMANNIAN+CUBIC
3 MOTION FAIRING 258334 1% 100% 2 Search MOTION+FAIRING Search MOTION+FAIRING
4 PROJECTIVE GEOMETRIC ALGEBRA 258334 1% 100% 2 Search PROJECTIVE+GEOMETRIC+ALGEBRA Search PROJECTIVE+GEOMETRIC+ALGEBRA
5 RIEMANNIAN CUBIC IN TENSION 258334 1% 100% 2 Search RIEMANNIAN+CUBIC+IN+TENSION Search RIEMANNIAN+CUBIC+IN+TENSION
6 VARIATIONAL CURVE DESIGN 258334 1% 100% 2 Search VARIATIONAL+CURVE+DESIGN Search VARIATIONAL+CURVE+DESIGN
7 UNIT QUATERNIONS 187874 2% 36% 4 Search UNIT+QUATERNIONS Search UNIT+QUATERNIONS
8 INTERPOLATION ON MANIFOLDS 172222 1% 67% 2 Search INTERPOLATION+ON+MANIFOLDS Search INTERPOLATION+ON+MANIFOLDS
9 ORIENTATION INTERPOLATION 172222 1% 67% 2 Search ORIENTATION+INTERPOLATION Search ORIENTATION+INTERPOLATION
10 MOTION DESIGN 153763 2% 24% 5 Search MOTION+DESIGN Search MOTION+DESIGN

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.

Classes with closest relation at Level 1



rank cluster_id2 link
1 17368 SHAPE SPACE//EXTRINSIC MEAN//FRECHET MEAN
2 24786 OVERCONSTRAINED LINKAGES//LINKAGE MOBILITY//BENNETT LINKAGE
3 26511 GOURSAT FLAG//LAGRANGE GRASSMANNIAN//TANAKA ALGEBRA
4 7776 NONHOLONOMIC MECHANICS//REGULAR & CHAOTIC DYNAMICS//JOURNAL OF GEOMETRIC MECHANICS
5 15994 TRAJECTORY PLANNING//MAXIMUM PAYLOAD//JERK CONSTRAINT
6 12970 SUBDIVISION SURFACES//SUBDIVISION//COMPUTER AIDED GEOMETRIC DESIGN
7 15516 WILLMORE SURFACES//MOBIUS METRIC//WILLMORE FUNCTIONAL
8 38217 DEGENERATE MANIFOLDS//SINGULAR SEMI RIEMANNIAN MANIFOLDS//FRIEDMANN LEMAITRE ROBERTSON WALKER
9 13213 REVERSE ENGINEERING//COMPUTER-AIDED DESIGN//B SPLINE CURVE
10 9551 COMPUTER AIDED GEOMETRIC DESIGN//PYTHAGOREAN HODOGRAPH CURVES//DEGREE REDUCTION

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