Class information for:
Level 1: COMPUTER AIDED GEOMETRIC DESIGN//PYTHAGOREAN HODOGRAPH CURVES//DEGREE REDUCTION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
5398 1629 19.7 43%


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
5398 1                   COMPUTER AIDED GEOMETRIC DESIGN//PYTHAGOREAN HODOGRAPH CURVES//DEGREE REDUCTION 1629

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 COMPUTER AIDED GEOMETRIC DESIGN journal 2147518 23% 31% 373
2 PYTHAGOREAN HODOGRAPH CURVES authKW 960627 4% 83% 62
3 DEGREE REDUCTION authKW 836736 3% 89% 50
4 IMPLICITIZATION authKW 821688 3% 80% 55
5 BEZIER CURVE authKW 691271 7% 33% 111
6 MU BASIS authKW 487989 2% 96% 27
7 RATIONAL BEZIER CURVES authKW 483165 2% 66% 39
8 ROTATION MINIMIZING FRAME authKW 413128 1% 96% 23
9 PYTHAGOREAN HODOGRAPH authKW 396601 1% 92% 23
10 ARC SPLINES authKW 344400 1% 88% 21

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 86067 53% 1% 862
2 Mathematics, Applied 32375 56% 0% 906
3 Computer Science, Theory & Methods 3434 13% 0% 214
4 Mathematics 358 8% 0% 129
5 Computer Science, Interdisciplinary Applications 159 3% 0% 54
6 Computer Science, Information Systems 76 2% 0% 39
7 Mathematics, Interdisciplinary Applications 39 2% 0% 26
8 Computer Science, Artificial Intelligence 38 2% 0% 31
9 Computer Science, Hardware & Architecture 20 1% 0% 15
10 Engineering, General 15 1% 0% 21

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 PL GEOMETRY 131625 1% 29% 24
2 COMP IMAGES GR H 119953 0% 80% 8
3 ST PAULS 72930 1% 32% 12
4 OCEAN ENGN DESIGN 59976 0% 80% 4
5 DPTO FIS MATEMAT 57393 0% 44% 7
6 COMP AIDED DESIGN MFG 56229 0% 100% 3
7 COMP GR H IMAGE PROCESSING 56229 0% 100% 3
8 GALAAD 53962 1% 24% 12
9 COMPUTAC GRAF GEOMETRIA LICADA 51898 0% 46% 6
10 INRIA NANCY GRAND E 42171 0% 75% 3

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 2147518 23% 31% 373
2 COMPUTER-AIDED DESIGN 239007 12% 7% 196
3 JOURNAL OF SYMBOLIC COMPUTATION 83038 6% 4% 100
4 GRAPHICAL MODELS 35788 2% 7% 28
5 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 28366 8% 1% 124
6 COMPUTERS & GRAPHICS-UK 14909 3% 2% 41
7 GRAPHICAL MODELS AND IMAGE PROCESSING 12792 1% 6% 11
8 IEEE COMPUTER GRAPHICS AND APPLICATIONS 11881 2% 2% 32
9 ACM TRANSACTIONS ON GRAPHICS 11793 3% 2% 42
10 APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING 11110 1% 3% 19

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 PYTHAGOREAN HODOGRAPH CURVES 960627 4% 83% 62 Search PYTHAGOREAN+HODOGRAPH+CURVES Search PYTHAGOREAN+HODOGRAPH+CURVES
2 DEGREE REDUCTION 836736 3% 89% 50 Search DEGREE+REDUCTION Search DEGREE+REDUCTION
3 IMPLICITIZATION 821688 3% 80% 55 Search IMPLICITIZATION Search IMPLICITIZATION
4 BEZIER CURVE 691271 7% 33% 111 Search BEZIER+CURVE Search BEZIER+CURVE
5 MU BASIS 487989 2% 96% 27 Search MU+BASIS Search MU+BASIS
6 RATIONAL BEZIER CURVES 483165 2% 66% 39 Search RATIONAL+BEZIER+CURVES Search RATIONAL+BEZIER+CURVES
7 ROTATION MINIMIZING FRAME 413128 1% 96% 23 Search ROTATION+MINIMIZING+FRAME Search ROTATION+MINIMIZING+FRAME
8 PYTHAGOREAN HODOGRAPH 396601 1% 92% 23 Search PYTHAGOREAN+HODOGRAPH Search PYTHAGOREAN+HODOGRAPH
9 ARC SPLINES 344400 1% 88% 21 Search ARC+SPLINES Search ARC+SPLINES
10 BIARCS 260231 1% 73% 19 Search BIARCS Search BIARCS

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 WU, WD , YANG, XN , (2016) GEOMETRIC HERMITE INTERPOLATION BY A FAMILY OF INTRINSICALLY DEFINED PLANAR CURVES.COMPUTER-AIDED DESIGN. VOL. 77. ISSUE . P. 86 -97 29 91% 0
2 FAROUKI, RT , SIR, Z , (2011) RATIONAL PYTHAGOREAN-HODOGRAPH SPACE CURVES.COMPUTER AIDED GEOMETRIC DESIGN. VOL. 28. ISSUE 2. P. 75 -88 29 97% 8
3 FAROUKI, RT , (2016) RATIONAL ROTATION-MINIMIZING FRAMES-RECENT ADVANCES AND OPEN PROBLEMS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 272. ISSUE . P. 80 -91 30 81% 0
4 LU, LZ , (2013) EXPLICIT G(2)-CONSTRAINED DEGREE REDUCTION OF BEZIER CURVES BY QUADRATIC OPTIMIZATION.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 253. ISSUE . P. 80-88 25 96% 4
5 KOSINKA, J , LAVICKA, M , (2011) A UNIFIED PYTHAGOREAN HODOGRAPH APPROACH TO THE MEDIAL AXIS TRANSFORM AND OFFSET APPROXIMATION.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 235. ISSUE 12. P. 3413 -3424 29 85% 2
6 CHENG, JS , JIN, K , LAZARD, D , (2013) CERTIFIED RATIONAL PARAMETRIC APPROXIMATION OF REAL ALGEBRAIC SPACE CURVES WITH LOCAL GENERIC POSITION METHOD.JOURNAL OF SYMBOLIC COMPUTATION. VOL. 58. ISSUE . P. 18 -40 26 90% 3
7 CHEN, XD , MA, WY , PAUL, JC , (2011) MULTI-DEGREE REDUCTION OF BEZIER CURVES USING REPARAMETERIZATION.COMPUTER-AIDED DESIGN. VOL. 43. ISSUE 2. P. 161-169 23 100% 7
8 VRSEK, J , LAVICKA, M , (2012) EXPLORING HYPERSURFACES WITH OFFSET-LIKE CONVOLUTIONS.COMPUTER AIDED GEOMETRIC DESIGN. VOL. 29. ISSUE 9. P. 676-690 26 87% 0
9 KOZAK, J , KRAJNC, M , VITRIH, V , (2016) A QUATERNION APPROACH TO POLYNOMIAL PN SURFACES.COMPUTER AIDED GEOMETRIC DESIGN. VOL. 47. ISSUE . P. 172 -188 19 100% 1
10 BIZZARRI, M , LAVICKA, M , (2013) PARAMETERIZING RATIONAL OFFSET CANAL SURFACES VIA RATIONAL CONTOUR CURVES.COMPUTER-AIDED DESIGN. VOL. 45. ISSUE 2. P. 342 -350 26 84% 0

Classes with closest relation at Level 1


Rank Class id link
1 17119 COMPUTER AIDED GEOMETRIC DESIGN//G1 CONTINUITY//SURFACE BLENDING
2 6227 RATIONAL SPLINE//SHAPE PRESERVATION//COMPUTER AIDED GEOMETRIC DESIGN
3 5117 FIVE AXIS MACHINING//TOOL PATH GENERATION//FLANK MILLING
4 26953 LIE QUADRATIC//RIEMANNIAN CUBIC//COMP SCI GRP COMP SCI
5 15446 RAY TRACING//ACCELERATION STRUCTURE//BOOLEAN OPERATIONS
6 14999 SUBDIVISION SURFACES//SUBDIVISION SCHEMES//SUBDIVISION
7 6132 JOURNAL OF SYMBOLIC COMPUTATION//POLYNOMIAL SYSTEM SOLVING//MATEMAT ESTADIST COMPUTAC
8 17322 NUMERICAL ALGEBRAIC GEOMETRY//POLYNOMIAL SYSTEMS//HOMOTOPY CONTINUATION
9 21592 ERROR FREE TRANSFORMATION//FLOATING POINT ARITHMETIC//FLOATING POINT SUMMATION
10 35025 VANISHING HESSIAN//SCORZA VARIETY//ACCOMMODATION AND RESISTANCE

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