Class information for:
Level 1: LIE QUADRATIC//RIEMANNIAN CUBIC//COMP SCI GRP COMP SCI

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
26953 241 22.5 33%


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
26953 1                   LIE QUADRATIC//RIEMANNIAN CUBIC//COMP SCI GRP COMP SCI 241

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 LIE QUADRATIC authKW 506811 2% 100% 4
2 RIEMANNIAN CUBIC authKW 506811 2% 100% 4
3 COMP SCI GRP COMP SCI address 253405 1% 100% 2
4 MOTION FAIRING authKW 253405 1% 100% 2
5 RIEMANNIAN CUBIC IN TENSION authKW 253405 1% 100% 2
6 VARIATIONAL CURVE DESIGN authKW 253405 1% 100% 2
7 UNIT QUATERNIONS authKW 225245 2% 44% 4
8 INTERPOLATION ON MANIFOLDS authKW 168936 1% 67% 2
9 ORIENTATION INTERPOLATION authKW 168936 1% 67% 2
10 MOTION DESIGN authKW 158371 2% 25% 5

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 2947 26% 0% 62
2 Robotics 1952 8% 0% 20
3 Mathematics, Applied 1205 29% 0% 69
4 Engineering, Mechanical 727 18% 0% 44
5 Automation & Control Systems 287 7% 0% 18
6 Computer Science, Artificial Intelligence 113 6% 0% 15
7 Physics, Mathematical 111 7% 0% 16
8 Mathematics 85 10% 0% 23
9 Mechanics 46 6% 0% 14
10 Imaging Science & Photographic Technology 43 2% 0% 5

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 COMP SCI GRP COMP SCI 253405 1% 100% 2
2 FRE 2729CNRS 126703 0% 100% 1
3 G ARD MONGEUMR 8049CNRS 126703 0% 100% 1
4 GRP GEOMETR MODELING IND GEOMETRY 126703 0% 100% 1
5 IMAGIS IMAG 126703 0% 100% 1
6 IRISA RENNES 126703 0% 100% 1
7 MECH AERONAUT ENGN INTEGRAT ENGN 126703 0% 100% 1
8 TECHNOL PROGRAMMING 126703 0% 100% 1
9 BIFI FIS TEOR 63350 0% 50% 1
10 HIGHER ACCOUNTING ADM 63350 0% 50% 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 JOURNAL OF MECHANICAL DESIGN 22702 10% 1% 24
2 JOURNAL OF VISUALIZATION AND COMPUTER ANIMATION 16318 2% 3% 5
3 COMPUTER-AIDED DESIGN 6042 5% 0% 12
4 COMPUTER AIDED GEOMETRIC DESIGN 5100 3% 1% 7
5 IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION 4893 2% 1% 5
6 JOURNAL OF MECHANISMS TRANSMISSIONS AND AUTOMATION IN DESIGN-TRANSACTIONS OF THE ASME 4568 2% 1% 4
7 JOURNAL OF MECHANISMS AND ROBOTICS-TRANSACTIONS OF THE ASME 3524 2% 1% 4
8 GRAPHICAL MODELS AND IMAGE PROCESSING 2859 1% 1% 2
9 GRAPHICAL MODELS 2775 1% 1% 3
10 JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS 2658 1% 1% 3

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 LIE QUADRATIC 506811 2% 100% 4 Search LIE+QUADRATIC Search LIE+QUADRATIC
2 RIEMANNIAN CUBIC 506811 2% 100% 4 Search RIEMANNIAN+CUBIC Search RIEMANNIAN+CUBIC
3 MOTION FAIRING 253405 1% 100% 2 Search MOTION+FAIRING Search MOTION+FAIRING
4 RIEMANNIAN CUBIC IN TENSION 253405 1% 100% 2 Search RIEMANNIAN+CUBIC+IN+TENSION Search RIEMANNIAN+CUBIC+IN+TENSION
5 VARIATIONAL CURVE DESIGN 253405 1% 100% 2 Search VARIATIONAL+CURVE+DESIGN Search VARIATIONAL+CURVE+DESIGN
6 UNIT QUATERNIONS 225245 2% 44% 4 Search UNIT+QUATERNIONS Search UNIT+QUATERNIONS
7 INTERPOLATION ON MANIFOLDS 168936 1% 67% 2 Search INTERPOLATION+ON+MANIFOLDS Search INTERPOLATION+ON+MANIFOLDS
8 ORIENTATION INTERPOLATION 168936 1% 67% 2 Search ORIENTATION+INTERPOLATION Search ORIENTATION+INTERPOLATION
9 MOTION DESIGN 158371 2% 25% 5 Search MOTION+DESIGN Search MOTION+DESIGN
10 3D DISCRETE ROTATION 126703 0% 100% 1 Search 3D+DISCRETE+ROTATION Search 3D+DISCRETE+ROTATION

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 POPIEL, T , NOAKES, L , (2007) BEZIER CURVES AND C-2 INTERPOLATION IN RIEMANNIAN MANIFOLDS.JOURNAL OF APPROXIMATION THEORY. VOL. 148. ISSUE 2. P. 111-127 23 88% 14
2 POPIEL, T , NOAKES, L , (2006) C-2 SPHERICAL BEZIER SPLINES.COMPUTER AIDED GEOMETRIC DESIGN. VOL. 23. ISSUE 3. P. 261-275 21 88% 11
3 NOAKES, L , POPIEL, T , (2007) GEOMETRY FOR ROBOT PATH PLANNING.ROBOTICA. VOL. 25. ISSUE . P. 691 -701 22 79% 6
4 POPIEL, T , (2007) HIGHER ORDER GEODESICS IN LIE GROUPS.MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS. VOL. 19. ISSUE 3. P. 235-253 13 100% 6
5 NOAKES, L , RATIU, TS , (2016) BI-JACOBI FIELDS AND RIEMANNIAN CUBICS FOR LEFT-INVARIANT SO(3).COMMUNICATIONS IN MATHEMATICAL SCIENCES. VOL. 14. ISSUE 1. P. 55 -68 11 92% 0
6 PURWAR, A , GE, QJ , (2005) ON THE EFFECT OF DUAL WEIGHTS IN COMPUTER AIDED DESIGN OF RATIONAL MOTIONS.JOURNAL OF MECHANICAL DESIGN. VOL. 127. ISSUE 5. P. 967-972 14 88% 26
7 PURWAR, A , CHI, XY , GE, QJ , (2008) AUTOMATIC FAIRING OF TWO-PARAMETER RATIONAL B-SPLINE MOTION.JOURNAL OF MECHANICAL DESIGN. VOL. 130. ISSUE 1. P. - 14 82% 0
8 NOAKES, L , (2004) NON-NULL LIE QUADRATICS IN E-3.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 45. ISSUE 11. P. 4334-4351 11 92% 20
9 MULLINEUX, G , (2004) MODELING SPATIAL DISPLACEMENTS USING CLIFFORD ALGEBRA.JOURNAL OF MECHANICAL DESIGN. VOL. 126. ISSUE 3. P. 420-424 11 92% 5
10 SCHRADER, P , (2015) EXISTENCE OF VARIATIONALLY DEFINED CURVES WITH HIGHER ORDER ELLIPTIC LAGRANGIANS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 115. ISSUE . P. 1 -11 9 75% 1

Classes with closest relation at Level 1


Rank Class id link
1 19052 WILLMORE FUNCTIONAL//ELASTIC CURVES//WILLMORE SURFACES
2 33578 EMBEDDED COPROCESSORS//FPGA BASED PROTOTYPING//ANAMORPHIC TECHNIQUE
3 14999 SUBDIVISION SURFACES//SUBDIVISION SCHEMES//SUBDIVISION
4 23850 HADAMARD MANIFOLD//RIEMANNIAN OPTIMIZATION//MONOTONE VECTOR FIELDS
5 9792 MECHANISM AND MACHINE THEORY//ARMAMENTS ENGN TECHNOL//MOTION GENERATION
6 5398 COMPUTER AIDED GEOMETRIC DESIGN//PYTHAGOREAN HODOGRAPH CURVES//DEGREE REDUCTION
7 11264 NONHOLONOMIC MECHANICS//REGULAR & CHAOTIC DYNAMICS//SPHERICAL ROBOT
8 16784 TRAJECTORY PLANNING//MAXIMUM PAYLOAD//DLCC
9 24381 OVERCONSTRAINED LINKAGES//LINKAGE MOBILITY//BENNETT LINKAGE
10 23427 SLANT HELIX//GENERAL HELIX//BERTRAND CURVE

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