Entry Fudos:1997:GCA from tog.bib
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BibTeX entry
@Article{Fudos:1997:GCA,
author = "Ioannis Fudos and Christoph M. Hoffmann",
title = "A Graph-constructive Approach to Solving Systems of
Geometric Constraints",
journal = j-TOG,
volume = "16",
number = "2",
pages = "179--216",
month = apr,
year = "1997",
CODEN = "ATGRDF",
ISSN = "0730-0301",
bibdate = "Mon May 26 09:24:06 MDT 1997",
bibsource = "http://www.acm.org/pubs/toc/",
URL = "http://www.acm.org/pubs/citations/journals/tog/1997-16-2/p179-fudos/",
abstract = "A graph-constructive approach to solving systems of
geometric constraints capable of efficiently handling
well-constrained, overconstrained, and underconstrained
configurations is presented. The geometric constraint
solver works in two phases: in the analysis phase the
constraint graph is analyzed and a sequence of
elementary construction steps is derived, and then in
the construction phase the sequence of construction
steps in actually carried out. The analysis phase of
the algorithm is described in detail, its correctness
is proved, and an efficient algorithm to realized it is
presented. The scope of the graph analysis is then
extended by utilizing semantic information in the form
of angle derivations, and by extending the repertoire
of the construction steps. Finally, the construction
phase is briefly discussed.",
acknowledgement = ack-nhfb,
keywords = "algorithms; design; performance; theory",
subject = "{\bf I.3.5}: Computing Methodologies, COMPUTER
GRAPHICS, Computational Geometry and Object Modeling,
Geometric algorithms, languages, and systems. {\bf
G.2.2}: Mathematics of Computing, DISCRETE MATHEMATICS,
Graph Theory, Graph algorithms. {\bf I.1.0}: Computing
Methodologies, ALGEBRAIC MANIPULATION, General. {\bf
I.3.6}: Computing Methodologies, COMPUTER GRAPHICS,
Methodology and Techniques. {\bf J.6}: Computer
Applications, COMPUTER-AIDED ENGINEERING,
Computer-aided design (CAD).",
}
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17(2)84,
17(4)259,
20(3)151,
20(4)232,
21(1)20,
26(2)11,
26(3)6,
26(3)13,
26(3)34,
26(3)37,
26(3)76,
26(3)88,
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27(3)46,
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27(3)67,
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27(5)109,
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27(5)139,
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28(3)56,
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28(3)71,
28(3)80,
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28(4)99
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27(3)27,
27(3)37,
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27(3)80,
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28(3)65
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14(2)103,
15(4)301
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1(3)191,
4(1)1,
4(2)74,
9(1)1,
9(2)160,
9(4)424,
10(1)1,
10(2)182,
11(1)12,
11(2)183,
12(1)35,
12(2)136,
12(3)251,
13(1)3,
13(3)308,
13(4)400,
15(1)1,
15(1)37,
15(1)72,
15(3)223,
15(4)301,
16(3)296,
16(3)319,
17(1)32,
17(2)71,
17(2)84,
17(2)116,
17(3)158,
17(4)238,
17(4)259,
18(1)35,
18(1)56,
18(2)96,
18(2)128,
18(2)171,
18(2)195,
18(3)257,
18(4)329,
18(4)361,
19(1)27,
19(4)246,
19(4)279,
22(2)131,
26(3)24,
26(3)58,
26(3)76,
26(3)96,
27(2)13,
27(3)19,
27(3)22,
27(3)46,
27(3)62,
27(4)106,
27(5)126,
27(5)127,
27(5)135,
27(5)143,
27(5)145,
27(5)148,
28(1)10,
28(2)16,
28(3)65,
28(3)74,
28(3)80,
28(3)81
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3(2)86,
4(2)74,
7(1)42,
8(1)51,
10(1)1,
14(2)103,
15(4)301,
21(3)473,
22(3)277,
23(3)309,
24(3)496,
26(3)6,
26(3)58,
26(3)64,
26(3)80,
26(3)106,
26(3)108,
26(4)17,
26(4)18,
27(3)16,
27(3)51,
27(3)80,
27(3)101,
27(3)103,
27(5)117,
27(5)144,
27(5)159,
27(5)161,
28(1)4,
28(3)68,
28(3)78,
28(3)83,
28(3)84
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3(3)177,
9(2)212,
10(1)92,
19(1)1,
26(1)1,
26(3)23,
26(3)27,
26(3)58,
26(3)60,
26(3)66,
27(5)126,
28(2)15,
28(3)42,
28(3)62,
28(3)71
- I.3.6,
1(3)191,
5(1)30,
5(2)79,
5(2)110,
5(2)142,
5(3)179,
5(3)211,
5(3)244,
5(4)318,
5(4)345,
6(1)74,
6(2)123,
7(4)233,
9(1)133,
9(1)138,
10(2)111,
10(2)201,
10(3)213,
11(4)406,
12(3)179,
12(3)233,
12(4)277,
12(4)348,
13(2)103,
13(3)209,
13(3)256,
14(1)3,
14(1)58,
15(3)211,
16(3)217,
17(2)116,
18(2)96,
18(4)329,
18(4)361
- J.6,
4(1)12,
4(4)291,
5(1)1,
6(3)238,
6(4)274,
7(1)1,
7(1)42,
7(2)83,
7(3)198,
8(1)25,
8(1)51,
8(3)204,
8(4)263,
8(4)325,
8(4)335,
8(4)360,
9(2)147,
9(2)160,
9(2)212,
10(1)71,
10(3)297,
10(3)312,
10(4)366,
10(4)378,
11(1)12,
11(2)140,
11(2)152,
12(1)56,
12(2)113,
12(3)209,
12(4)305,
12(4)327,
13(1)3,
13(3)277,
13(4)400,
14(2)103,
14(3)266,
16(1)34,
16(1)74,
16(2)155,
16(3)319,
17(4)259,
18(1)35,
18(4)329,
19(1)27,
19(1)56
- MANIPULATION,
8(1)51,
8(3)174,
8(4)325,
11(1)12,
16(3)217,
17(1)1,
17(4)259
- MATHEMATICS,
8(1)51,
14(2)103,
15(4)301,
17(4)259
- out.,
26(3)18
- phase,
26(3)60,
27(3)21,
27(3)28,
27(3)36,
27(5)121,
28(3)30
- presented,
3(1)52,
3(3)223,
4(4)291,
5(2)79,
5(3)244,
7(3)151,
9(1)1,
10(1)92,
11(1)61,
11(2)103,
11(2)140,
11(2)152,
11(3)201,
11(4)305,
13(1)43,
13(3)209,
13(3)240,
13(3)277,
13(4)400,
14(1)77,
14(4)337,
15(1)1,
15(1)72,
15(3)249,
17(2)116,
19(2)79,
19(3)185,
19(4)246,
20(3)151,
20(3)169,
20(4)203,
26(3)44,
27(3)38,
27(3)86,
27(5)138,
27(5)146,
27(5)155,
28(1)8,
28(3)55,
28(3)70,
28(3)75,
28(3)84,
28(4)100
- proved,
11(1)12,
27(5)128,
28(2)13
- realized,
15(3)211,
26(3)45,
27(2)10,
28(3)45
- repertoire,
26(3)107,
28(3)59
- scope,
13(1)1,
14(1)1,
26(3)45
- semantic,
5(4)318,
27(5)127,
28(3)36,
28(3)68
- sequence,
9(3)338,
11(1)40,
15(3)249,
16(4)359,
17(2)84,
17(2)116,
19(2)122,
26(3)5,
26(3)34,
26(3)37,
26(3)38,
26(3)52,
26(3)84,
26(3)86,
26(3)101,
26(3)104,
27(1)1,
27(1)2,
27(3)17,
27(3)29,
27(3)36,
27(3)81,
27(3)86,
27(5)110,
27(5)112,
27(5)113,
27(5)133,
27(5)160,
27(5)164,
28(1)1,
28(1)6,
28(1)10,
28(1)11,
28(2)15,
28(3)23,
28(3)59,
28(3)90,
28(4)99
- solver,
18(1)35,
20(2)67,
22(3)917,
26(2)12,
26(3)49,
26(3)54,
26(3)83,
26(3)91,
27(3)21,
27(3)27,
27(3)46,
27(5)162,
27(5)166,
28(3)35,
28(3)37,
28(3)62,
28(3)77,
28(3)92
- solving,
11(3)228,
12(4)305,
14(3)203,
14(4)311,
17(1)1,
17(3)143,
18(1)35,
26(3)8,
26(3)64,
26(3)94,
26(3)95,
27(3)37,
27(3)40,
27(3)50,
27(3)91,
27(3)92,
27(5)147,
28(1)7,
28(2)13,
28(3)22,
28(3)40,
28(3)67,
28(3)95
- step,
3(3)223,
10(2)152,
11(3)276,
13(3)240,
15(1)37,
15(3)211,
16(1)74,
16(2)109,
17(1)50,
17(4)209,
17(4)238,
19(1)56,
20(1)1,
26(3)16,
26(3)76,
26(3)77,
26(3)91,
26(3)100,
26(3)104,
26(3)105,
26(4)19,
27(3)25,
27(3)29,
27(3)46,
27(3)50,
27(3)60,
27(3)70,
27(3)73,
27(3)81,
27(5)132,
28(1)10,
28(1)11,
28(3)26,
28(3)38,
28(3)40,
28(3)66,
28(3)77
- then,
3(1)52,
4(4)291,
7(3)151,
10(2)111,
10(2)152,
10(2)182,
11(2)103,
11(3)201,
11(3)228,
12(2)113,
12(4)277,
13(1)3,
13(3)277,
13(4)337,
14(1)58,
14(3)203,
15(3)249,
16(1)3,
16(2)155,
16(3)217,
16(3)260,
18(3)213,
18(3)257,
19(2)79,
20(3)169,
20(4)232,
21(1)52,
26(3)8,
26(3)12,
26(3)30,
26(3)33,
26(3)44,
26(3)51,
26(3)57,
26(3)70,
26(3)74,
26(3)76,
26(3)81,
26(3)83,
26(3)84,
26(3)94,
27(1)1,
27(1)5,
27(2)11,
27(3)15,
27(3)17,
27(3)29,
27(3)31,
27(3)36,
27(3)38,
27(3)42,
27(3)44,
27(3)50,
27(3)54,
27(3)73,
27(3)79,
27(3)92,
27(3)94,
27(3)96,
27(3)99,
27(3)100,
27(5)109,
27(5)111,
27(5)114,
27(5)123,
27(5)124,
27(5)128,
27(5)138,
27(5)145,
27(5)152,
27(5)159,
27(5)161,
27(5)163,
28(1)4,
28(1)6,
28(1)11,
28(2)18,
28(3)21,
28(3)35,
28(3)39,
28(3)44,
28(3)53,
28(3)55,
28(3)61,
28(3)68,
28(3)76,
28(3)77,
28(3)81,
28(3)89,
28(3)91,
28(3)96,
28(4)102,
28(4)104
- underconstrained,
27(3)70
- utilizing,
17(3)158,
27(1)7,
27(5)118,
27(5)155,
28(3)86
- work,
7(3)151,
11(1)1,
11(2)140,
13(3)300,
14(1)77,
14(4)311,
15(3)211,
16(1)3,
16(1)34,
16(2)109,
16(3)217,
16(3)319,
17(4)238,
18(1)1,
18(1)35,
19(4)279,
20(3)127,
20(4)203,
26(1)1,
26(1)2,
26(2)9,
26(3)6,
26(3)13,
26(3)16,
26(3)25,
26(3)26,
26(3)28,
26(3)36,
26(3)47,
26(3)53,
26(3)64,
26(3)76,
26(3)79,
26(3)99,
26(4)13,
26(4)17,
27(1)7,
27(2)13,
27(3)20,
27(3)37,
27(3)38,
27(3)44,
27(3)46,
27(3)59,
27(3)70,
27(3)75,
27(3)88,
27(3)97,
27(3)99,
27(3)102,
27(5)115,
27(5)131,
27(5)132,
27(5)133,
27(5)140,
27(5)143,
27(5)149,
28(1)1,
28(2)15,
28(3)25,
28(3)29,
28(3)66,
28(3)72,
28(3)92,
28(4)102,
28(4)106