Entry Paoluzzi:1995:GPP from tog.bib
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BibTeX entry
@Article{Paoluzzi:1995:GPP,
author = "Alberto Paoluzzi and Valerio Pascucci and Michele
Vicentino",
title = "Geometric Programming: {A} Programming Approach to
Geometric Design",
journal = j-TOG,
volume = "14",
number = "3",
pages = "266--306",
month = jul,
year = "1995",
CODEN = "ATGRDF",
ISSN = "0730-0301",
bibdate = "Sat Jan 13 12:33:38 1996",
URL = "http://www.acm.org/pubs/toc/Abstracts/0730-0301/212349.html",
abstract = "This article presents a functional programming
approach to geometric design with embedded polyhedral
complexes. Its main goals are to show the expressive
power of the language as well as its usefulness for
geometric design. The language, named PLASM (the
Programming LAnguage for Solid Modeling), introduces a
very high level approach to ``constructive'' or
``generative'' modeling. Geometrical objects are
generated by evaluating some suitable language
expressions. Because generating expressions can be
easily combined, the language also extends the standard
variational geometry approach by supporting classes of
geometric objects with varying topology and shape. The
design language PLASM can be roughly considered as a
geometry-oriented extension of a subset of the
functional language FL. The language takes a
dimension-independent approach to geometry
representation and algorithms. In particular it
implements an algebraic calculus over embedded
polyhedra of any dimension. The generated objects are
always geometrically consistent because the validity of
geometry is guaranteed at a syntactical level. Such an
approach allows one to use a representation scheme
which is weaker than those usually adopted in solid
modelers, thus encompassing a broader geometric domain,
which contains solids, surfaces, and wire-frames, as
well as higher-dimensional objects.",
acknowledgement = ack-nhfb,
keywords = "design; languages; theory",
subject = "{\bf I.3.5}: Computing Methodologies, COMPUTER
GRAPHICS, Computational Geometry and Object Modeling,
Geometric algorithms, languages, and systems. {\bf
D.1.1}: Software, PROGRAMMING TECHNIQUES, Applicative
(Functional) Programming. {\bf D.3.2}: Software,
PROGRAMMING LANGUAGES, Language Classifications,
Applicative languages. {\bf D.3.2}: Software,
PROGRAMMING LANGUAGES, Language Classifications, Design
languages. {\bf I.3.5}: Computing Methodologies,
COMPUTER GRAPHICS, Computational Geometry and Object
Modeling, Curve, surface, solid, and object
representations. {\bf I.3.5}: Computing Methodologies,
COMPUTER GRAPHICS, Computational Geometry and Object
Modeling, Hierarchy and geometric transformations. {\bf
I.3.5}: Computing Methodologies, COMPUTER GRAPHICS,
Computational Geometry and Object Modeling, Object
hierarchies. {\bf J.6}: Computer Applications,
COMPUTER-AIDED ENGINEERING, Computer-aided design
(CAD).",
}
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17(3)158,
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26(3)21,
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26(3)45,
26(3)49,
26(3)52,
26(3)67,
26(3)99,
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27(3)36,
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27(3)90,
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27(5)128,
27(5)160,
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28(2)18,
28(3)41,
28(3)54,
28(3)65,
28(3)87
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19(2)122,
22(3)427,
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26(3)80,
26(3)82,
27(3)38,
28(3)34,
28(3)52,
28(4)99
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4(1)12,
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5(3)179,
5(3)244,
5(4)283,
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10(2)111,
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12(4)305,
12(4)327,
13(1)3,
13(1)43,
13(3)209,
13(3)277,
13(4)400,
14(2)103,
15(3)211,
15(4)265,
16(1)34,
16(1)74,
16(2)155,
16(2)179,
16(3)319,
17(4)259,
18(1)35
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13(1)3,
15(2)121,
17(3)158,
21(1)20,
22(3)527,
24(3)1166,
26(4)18,
27(3)37,
27(5)165,
28(3)26
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4(3)223,
5(4)318,
8(1)51,
11(1)12,
13(3)256,
18(3)278,
19(1)27,
19(4)246,
26(3)33,
26(3)52,
26(3)108,
27(3)78,
27(5)121,
28(3)34,
28(3)57
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21(1)20,
22(3)554,
24(2)331,
24(4)1283,
26(3)44,
27(5)115,
28(1)5,
28(3)61
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14(4)311,
16(1)3,
16(1)34,
16(3)217,
17(4)209,
26(1)2,
26(2)11,
26(3)2,
26(3)18,
26(3)60,
26(3)100,
26(3)102,
26(3)104,
26(4)13,
27(2)13,
27(3)34,
27(3)53,
27(3)78,
27(3)102,
27(5)120,
27(5)128,
27(5)144,
27(5)153,
28(3)23,
28(3)57,
28(3)84,
28(3)97
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3(3)223,
9(1)1,
11(1)40,
11(3)276,
11(4)373,
13(1)3,
14(4)337,
18(2)128,
26(2)11,
26(3)16,
26(3)29,
26(3)74,
26(3)82,
26(3)104,
27(1)2,
27(3)21,
27(3)85,
27(5)116,
27(5)148,
28(2)20,
28(3)38,
28(3)67,
28(3)97
- functional,
5(2)79,
12(2)113,
16(3)296,
17(4)209,
18(1)35,
26(1)5,
26(3)41,
27(3)42,
28(3)34
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5(4)318,
7(2)83,
9(4)424,
10(2)182,
11(3)228,
13(3)240,
14(4)311,
16(4)359,
20(1)1,
23(3)469,
26(2)11,
26(3)12,
26(3)14,
26(3)71,
26(3)78,
26(4)20,
27(3)27,
27(3)55,
27(3)59,
27(3)62,
27(3)86,
27(3)89,
27(3)96,
27(3)100,
27(3)102,
27(5)108,
27(5)109,
27(5)112,
27(5)125,
27(5)137,
27(5)147,
27(5)159,
28(3)58,
28(3)66,
28(3)73,
28(3)77,
28(4)102
- generating,
11(2)152,
14(1)3,
16(3)217,
16(3)277,
20(3)127,
24(4)1239,
26(1)1,
26(3)8,
26(3)46,
26(3)86,
26(3)87,
26(3)95,
26(3)102,
26(4)20,
27(1)1,
27(1)5,
27(3)33,
27(3)36,
27(3)43,
27(3)83,
27(3)96,
27(5)125,
27(5)145,
27(5)154,
27(5)155,
27(5)159,
28(3)48,
28(3)55,
28(3)57,
28(3)58,
28(3)60,
28(3)66
- generative,
28(3)58
- geometrical,
2(4)237,
3(4)244,
4(1)12,
4(4)276,
5(1)1,
7(1)1,
8(1)51,
9(1)66,
9(2)170,
11(1)1,
11(1)12,
12(4)305,
13(1)43,
13(3)277,
15(4)354,
17(4)259,
18(1)35,
18(3)257,
18(3)278
- geometrically,
12(1)1,
21(1)20,
22(3)809,
25(3)987,
26(3)48,
26(3)57,
26(3)65,
27(3)45,
27(3)60,
27(3)66,
27(3)82
- goal,
13(3)209,
13(4)313,
15(3)211,
19(4)279,
20(1)10,
20(2)67,
22(2)131,
26(1)4,
26(3)3,
26(3)8,
26(3)14,
26(3)17,
26(3)42,
26(3)45,
26(4)18,
27(3)27,
27(3)29,
27(3)64,
27(3)102,
27(5)111,
27(5)145,
27(5)152,
27(5)155,
28(1)10,
28(3)26,
28(3)53,
28(3)57,
28(3)72,
28(3)82
- guaranteed,
13(3)240,
14(1)58,
22(3)453,
26(3)57,
26(4)20
- hierarchy,
5(2)79,
9(1)28,
11(1)12,
13(2)177,
13(3)256,
13(3)308,
14(4)363,
15(3)179,
16(1)3,
17(3)177,
18(2)128,
18(4)293,
19(3)204,
21(4)833,
26(1)6,
27(3)101,
28(3)56,
28(3)74
- higher-dimensional,
15(4)354,
20(1)10
- implement,
10(2)152,
15(1)72,
15(3)223,
15(4)332,
17(4)209,
26(3)51,
26(3)57,
26(3)68,
26(3)90,
26(3)101,
26(4)20,
27(3)20,
27(3)37,
27(3)57,
27(3)58,
27(5)123,
27(5)148,
27(5)156,
27(5)158,
28(3)21,
28(3)34,
28(4)103
- 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,
16(1)34,
16(1)74,
16(2)155,
16(2)179,
16(3)319,
17(4)259,
18(1)35,
18(4)329,
19(1)27,
19(1)56
- LANGUAGES,
1(3)191,
5(2)142,
5(4)345,
15(3)223
- level,
13(1)3,
13(1)43,
13(3)240,
15(3)179,
16(1)34,
18(2)171,
19(4)302,
20(3)151,
21(3)330,
25(1)151,
26(3)18,
26(3)47,
26(3)79,
26(3)86,
26(3)98,
26(4)15,
26(4)16,
26(4)17,
27(3)18,
27(3)51,
27(3)65,
27(3)83,
27(3)85,
27(3)98,
27(5)120,
27(5)124,
27(5)126,
27(5)146,
28(2)13,
28(3)24,
28(3)27,
28(3)41,
28(3)56
- main,
4(4)291,
13(1)3,
13(1)73,
18(4)316,
26(3)38,
26(3)59,
26(3)65,
26(3)94,
26(3)104,
26(4)19,
26(4)20,
27(3)20,
27(3)22,
27(3)39,
27(5)108,
27(5)128,
27(5)153,
28(1)7,
28(2)14,
28(2)15,
28(3)25,
28(3)49,
28(3)72,
28(3)74,
28(3)94
- modeler,
13(2)103,
15(3)223,
27(3)86
- named,
10(1)1,
27(3)18
- one,
10(1)40,
10(2)111,
10(2)152,
10(2)182,
11(2)127,
12(4)277,
13(1)3,
13(1)43,
13(3)240,
13(3)256,
13(4)313,
13(4)337,
13(4)376,
14(3)203,
16(3)260,
16(4)397,
17(1)1,
17(2)71,
17(4)209,
17(4)259,
18(3)257,
19(2)122,
20(2)95,
20(4)232,
26(1)2,
26(2)8,
26(3)5,
26(3)10,
26(3)30,
26(3)35,
26(3)37,
26(3)38,
26(3)41,
26(3)45,
26(3)47,
26(3)56,
26(3)58,
26(3)69,
26(3)76,
26(3)78,
26(3)80,
26(3)86,
26(4)16,
27(1)2,
27(1)3,
27(1)6,
27(3)20,
27(3)25,
27(3)34,
27(3)40,
27(3)57,
27(3)59,
27(3)60,
27(3)64,
27(3)74,
27(3)75,
27(3)81,
27(3)87,
27(3)88,
27(3)92,
27(3)94,
27(4)105,
27(5)110,
27(5)111,
27(5)114,
27(5)132,
27(5)134,
28(1)1,
28(1)6,
28(2)14,
28(3)24,
28(3)28,
28(3)36,
28(3)42,
28(3)48,
28(3)62,
28(3)73,
28(3)86,
28(3)95,
28(3)96,
28(4)104
- particular,
10(2)152,
11(1)40,
14(1)77,
16(1)74,
18(2)96,
20(1)1,
26(3)17,
26(3)31,
26(3)37,
26(3)39,
26(3)43,
26(3)47,
26(3)55,
26(4)16,
26(4)18,
27(1)5,
27(3)44,
27(3)76,
27(3)78,
27(5)130,
27(5)165,
28(1)6,
28(2)13,
28(2)14,
28(2)17,
28(3)28,
28(3)74,
28(3)76,
28(4)101
- Pascucci, Valerio,
24(3)886,
25(3)1057,
26(3)58
- polyhedra,
3(4)266,
4(2)74,
11(2)103,
14(2)162,
15(3)179,
16(4)420,
17(3)177,
18(3)257
- polyhedral,
6(1)29,
15(3)179,
15(3)223,
16(1)34,
17(2)84,
17(3)177,
27(3)78,
27(5)158,
28(4)104
- power,
5(3)244,
7(2)103,
11(3)201,
13(2)103,
13(2)177,
16(3)319,
19(1)27,
20(3)169,
20(4)232,
21(1)20,
26(3)84,
26(3)106,
27(3)17,
27(3)31,
27(3)37,
27(3)98,
27(3)102,
28(3)97
- PROGRAMMING,
1(3)191,
5(2)142,
5(4)345,
15(3)223
- programming,
1(2)109,
5(2)142,
5(4)345,
9(1)66,
9(1)133,
11(4)348,
13(3)209,
13(4)313,
22(3)896,
26(3)102,
26(4)17,
26(4)20,
27(3)16,
27(3)18,
27(3)19,
27(3)68,
28(1)4,
28(1)5,
28(3)23
- roughly,
19(1)56,
26(3)9,
27(3)85,
28(3)69
- scheme,
8(3)235,
9(2)160,
13(1)3,
13(2)177,
16(4)420,
17(2)84,
17(4)209,
19(1)1,
19(4)302,
20(1)10,
20(2)67,
22(2)131,
25(2)340,
26(1)6,
26(2)12,
26(3)51,
26(3)74,
26(3)83,
26(3)90,
26(4)14,
26(4)16,
27(1)4,
27(1)7,
27(3)14,
27(3)55,
27(3)62,
27(3)73,
27(3)85,
27(5)138,
27(5)144,
27(5)146,
27(5)147,
27(5)165,
28(2)12,
28(2)20,
28(3)22,
28(3)29,
28(3)38,
28(3)40,
28(3)41,
28(3)47,
28(3)71,
28(3)74,
28(3)84,
28(4)103
- software,
1(1)43,
1(2)109,
1(3)191,
5(2)75,
5(2)79,
5(2)110,
5(2)142,
5(3)175,
5(3)179,
5(3)211,
5(3)244,
5(4)279,
5(4)283,
5(4)318,
5(4)345,
7(3)180,
9(1)28,
9(1)133,
10(1)1,
10(1)71,
10(2)111,
10(3)213,
11(3)276,
12(2)113,
12(4)277,
13(3)209,
15(3)211,
15(3)223,
15(4)301,
18(2)96,
26(3)68,
26(3)90,
26(4)16,
27(3)18,
27(3)39,
27(3)97,
28(1)4,
28(2)19,
28(3)73,
28(3)83,
28(3)85
- standard,
7(3)180,
11(2)140,
11(3)259,
11(4)336,
11(4)373,
13(1)3,
13(2)103,
15(1)37,
15(3)211,
17(4)259,
26(3)38,
26(3)40,
26(3)76,
26(3)93,
26(3)94,
26(4)16,
27(1)2,
27(1)3,
27(3)18,
27(3)32,
27(3)46,
27(3)59,
27(3)64,
27(3)95,
27(4)105,
27(5)130,
28(2)16,
28(2)20,
28(3)36,
28(3)43,
28(3)48,
28(3)76,
28(3)93,
28(4)106
- subset,
9(3)245,
12(4)305,
14(1)58,
19(3)185,
26(3)53,
26(3)79,
28(3)71,
28(3)72
- suitable,
13(2)156,
13(3)256,
14(4)363,
16(3)319,
20(1)10,
26(2)9,
26(3)26,
26(3)52,
26(3)91,
27(3)16,
27(3)43,
27(3)57,
27(3)69,
27(3)91,
27(5)164,
28(2)12,
28(3)42,
28(3)89
- supporting,
5(3)179,
27(3)46,
27(3)88,
27(5)127,
28(2)19,
28(3)65
- take,
3(1)52,
11(2)103,
11(2)127,
17(1)1,
18(3)257,
19(2)79,
19(2)122,
20(3)169,
26(3)23,
26(3)30,
26(3)50,
26(3)60,
26(3)72,
26(4)20,
27(1)7,
27(3)15,
27(3)51,
27(3)60,
27(3)97,
27(3)101,
27(5)132,
27(5)148,
27(5)158,
28(1)2,
28(2)15,
28(3)41,
28(3)52,
28(3)59,
28(3)61
- than,
10(1)71,
11(2)183,
11(4)373,
13(1)3,
13(1)73,
13(3)240,
15(3)179,
15(4)332,
15(4)354,
16(1)3,
16(1)74,
16(3)319,
16(4)359,
17(1)1,
17(2)84,
18(2)96,
18(2)171,
19(1)56,
19(4)279,
20(3)127,
20(3)169,
26(2)10,
26(3)15,
26(3)30,
26(3)37,
26(3)38,
26(3)42,
26(3)57,
26(3)61,
26(3)73,
26(3)91,
26(3)108,
26(4)16,
26(4)20,
27(1)2,
27(1)7,
27(3)18,
27(3)19,
27(3)20,
27(3)21,
27(3)26,
27(3)27,
27(3)31,
27(3)33,
27(3)34,
27(3)40,
27(3)46,
27(3)65,
27(3)87,
27(3)90,
27(3)97,
27(5)111,
27(5)123,
27(5)126,
27(5)129,
27(5)133,
27(5)142,
27(5)143,
27(5)165,
27(5)166,
28(3)26,
28(3)40,
28(3)44,
28(3)50,
28(3)64,
28(3)67,
28(3)73,
28(3)74,
28(3)75,
28(3)85,
28(3)93,
28(3)94,
28(3)96,
28(3)97,
28(4)101,
28(4)104
- thus,
10(1)92,
14(1)77,
18(2)195,
18(4)316,
26(2)10,
26(3)18,
26(3)38,
26(3)47,
26(3)61,
26(3)83,
26(3)91,
27(1)2,
27(3)20,
27(3)29,
27(3)36,
27(3)46,
27(3)49,
27(3)55,
27(3)57,
27(3)63,
27(3)64,
27(3)71,
27(5)118,
28(1)7,
28(3)22,
28(3)50,
28(3)51,
28(3)62,
28(3)70,
28(3)91,
28(3)97
- topology,
4(2)74,
7(2)83,
9(4)424,
13(4)337,
17(2)116,
19(4)279,
22(3)724,
23(2)190,
23(3)385,
26(1)6,
26(3)41,
26(3)42,
26(3)43,
26(3)55,
26(3)58,
26(3)89,
27(2)10,
27(2)11,
27(3)44,
27(3)45,
28(3)49,
28(3)52,
28(3)74
- transformation,
1(3)215,
1(4)259,
4(4)276,
6(1)79,
6(4)308,
9(1)28,
9(4)424,
11(1)12,
13(2)177,
13(3)256,
13(3)277,
13(3)308,
15(1)72,
16(4)359,
17(4)209,
18(3)278,
18(4)293,
21(3)380,
24(2)289,
24(3)756,
26(3)21,
26(3)35,
26(3)63,
26(3)76,
26(3)80,
26(3)83,
26(4)15,
27(3)17,
27(3)43,
27(3)85,
27(4)105,
27(4)106,
27(5)111,
28(3)72
- usefulness,
21(1)20,
26(2)8,
27(3)80,
28(1)7,
28(3)58
- usually,
10(1)92,
15(3)223,
17(4)238,
18(3)213,
27(3)42,
27(3)52,
27(3)99,
27(5)155,
28(4)105
- validity,
16(4)397,
20(4)203,
27(2)10
- variational,
17(4)209,
19(4)279,
23(3)905,
23(4)1061,
24(3)617,
26(3)66,
26(3)81,
26(3)100,
27(1)2,
28(1)2,
28(3)34,
28(3)71,
28(3)87
- varying,
6(1)1,
11(4)373,
13(4)313,
15(1)37,
18(3)213,
26(1)3,
26(3)48,
26(3)51,
26(3)56,
26(3)59,
26(3)90,
27(1)3,
27(3)27,
27(3)52,
27(3)70,
27(3)85,
27(4)106,
27(4)107,
27(5)128,
27(5)133,
27(5)140,
28(1)6,
28(1)10,
28(3)52,
28(3)57,
28(3)88,
28(3)89,
28(3)95
- very,
4(4)291,
10(2)182,
11(3)228,
11(4)336,
13(2)137,
13(3)240,
15(3)211,
15(4)332,
16(4)359,
17(2)71,
18(2)96,
19(2)79,
19(4)302,
26(3)7,
26(3)23,
26(3)26,
26(3)45,
26(3)49,
26(3)82,
26(3)92,
26(3)93,
26(3)97,
26(4)15,
26(4)16,
27(1)5,
27(2)12,
27(3)32,
27(3)45,
27(3)57,
27(3)68,
27(3)74,
27(3)94,
27(3)96,
27(4)105,
27(5)111,
27(5)153,
28(1)1,
28(1)11,
28(2)13,
28(2)18,
28(3)25,
28(3)41,
28(3)51,
28(3)70,
28(3)77,
28(3)93,
28(3)96,
28(4)100
- well,
11(1)1,
11(1)61,
11(2)127,
11(3)201,
13(1)73,
13(2)103,
13(4)337,
14(4)337,
15(1)37,
16(3)260,
17(2)71,
17(4)259,
18(1)1,
18(2)171,
18(4)293,
19(3)204,
19(4)279,
20(3)127,
26(1)6,
26(3)10,
26(3)15,
26(3)16,
26(3)18,
26(3)22,
26(3)24,
26(3)33,
26(3)59,
26(3)64,
26(3)79,
26(3)89,
26(3)99,
26(3)105,
26(4)15,
26(4)16,
27(1)4,
27(1)6,
27(1)7,
27(2)11,
27(2)12,
27(3)16,
27(3)18,
27(3)22,
27(3)32,
27(3)33,
27(3)36,
27(3)37,
27(3)42,
27(3)46,
27(3)49,
27(3)51,
27(3)63,
27(3)67,
27(3)69,
27(3)72,
27(3)73,
27(3)77,
27(3)79,
27(3)88,
27(3)89,
27(5)142,
27(5)143,
27(5)162,
27(5)164,
28(1)1,
28(2)15,
28(3)23,
28(3)24,
28(3)26,
28(3)28,
28(3)30,
28(3)31,
28(3)43,
28(3)47,
28(3)49,
28(3)56,
28(3)65,
28(3)70,
28(3)80,
28(4)99,
28(4)101