Entry Bronsvoort:1985:RTG from tog.bib
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BibTeX entry
@Article{Bronsvoort:1985:RTG,
author = "Willem F. Bronsvoort and Fopke Klok",
title = "Ray Tracing Generalized Cylinders",
journal = j-TOG,
volume = "4",
number = "4",
pages = "291--303",
month = oct,
year = "1985",
CODEN = "ATGRDF",
ISSN = "0730-0301",
bibdate = "Thu Aug 25 23:27:04 1994",
bibsource = "Graphics/imager/imager.85.bib",
note = "See corrigendum \cite{Bronsvoort:1987:CTG}.",
URL = "http://www.acm.org/pubs/toc/Abstracts/0730-0301/6118.html",
acknowledgement = ack-nhfb,
annote = "An algorithm is presented for ray tracing generalized
cylinders, that is, objects defined by sweeping a
two-dimensional contour along a three-dimensional
trajectory. The contour can be any ``well-behaved''
curve in the sense that it is continuous, and that the
points where the tangent is horizontal or vertical can
be determined; the trajectory can be any spline curve.
First a definition is given of generalized cylinders in
terms of the Frenet frame of the trajectory. Then the
main problem in ray tracing these objects, the
computation of the intersection points with a ray, is
reduced to the problem of intersecting two
two-dimensional curves. This problem is solved by a
subdivision algorithm. The three-dimensional normal at
the intersection point closest to the eye point,
necessary to perform the shading, is obtained by
transforming the two-dimensional normal at the
corresponding intersection point of the two
two-dimensional curves. In this way it is possible to
obtain highly realistic images for a very broad class
of objects.",
keywords = "algorithms; design; Frenet frame; human factors; I37
ray tracing; object intersection; solid modeling;
splines; theory",
review = "ACM CR 8708-0703",
subject = "{\bf I.3.3}: Computing Methodologies, COMPUTER
GRAPHICS, Picture/Image Generation, Display algorithms.
{\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, Geometric
algorithms, languages, and systems. {\bf I.3.5}:
Computing Methodologies, COMPUTER GRAPHICS,
Computational Geometry and Object Modeling, Modeling
packages. {\bf I.3.7}: Computing Methodologies,
COMPUTER GRAPHICS, Three-Dimensional Graphics and
Realism, Color, shading, shadowing, and texture. {\bf
J.6}: Computer Applications, COMPUTER-AIDED
ENGINEERING, Computer-aided design (CAD). {\bf I.3.7}:
Computing Methodologies, COMPUTER GRAPHICS,
Three-Dimensional Graphics and Realism, Visible
line/surface algorithms.",
}
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16(1)34,
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16(3)319,
17(4)259,
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20(1)39,
21(3)637,
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24(3)649,
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15(3)179,
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18(2)96,
18(2)128,
18(3)257,
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26(3)79,
27(3)26,
27(5)118,
27(5)138,
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9(3)245,
10(2)182,
11(4)373,
14(3)203,
14(4)311,
16(2)155,
16(3)260,
16(3)296,
18(1)56,
20(4)232,
26(1)2,
26(1)5,
26(1)6,
26(3)1,
26(3)2,
26(3)9,
26(3)15,
26(3)19,
26(3)21,
26(3)25,
26(3)30,
26(3)33,
26(3)41,
26(3)43,
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26(3)71,
26(3)75,
26(3)76,
26(3)84,
26(3)102,
26(3)104,
26(4)16,
26(4)19,
27(1)1,
27(1)4,
27(2)13,
27(3)31,
27(3)33,
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27(3)44,
27(3)57,
27(3)60,
27(3)62,
27(3)64,
27(3)66,
27(3)96,
27(3)99,
27(5)108,
27(5)113,
27(5)119,
27(5)124,
27(5)126,
27(5)130,
27(5)131,
27(5)132,
27(5)152,
27(5)156,
28(1)6,
28(2)18,
28(3)21,
28(3)26,
28(3)35,
28(3)44,
28(3)52,
28(3)55,
28(3)57,
28(3)61,
28(3)66,
28(3)72,
28(3)76,
28(3)93,
28(4)103
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7(2)103,
7(4)233,
8(4)335,
11(1)61,
14(1)77,
15(3)179,
16(3)277,
16(4)359,
18(4)316,
26(1)5,
26(1)6,
26(3)20,
26(3)74,
26(3)84,
26(3)86,
26(3)102,
26(3)103,
26(4)20,
27(1)2,
27(3)34,
27(3)41,
27(3)63,
27(3)80,
27(3)91,
27(3)93,
27(3)97,
27(5)110,
27(5)127,
27(5)129,
27(5)133,
27(5)154,
28(1)1,
28(1)6,
28(2)12,
28(2)15,
28(3)42,
28(3)44,
28(3)65,
28(3)72,
28(3)88,
28(3)92,
28(3)95
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8(4)335
- generalized,
6(3)167,
6(3)238,
8(3)235,
8(4)360,
11(1)40,
18(4)293,
25(3)955,
26(3)60,
26(3)68,
26(3)71,
27(2)10,
27(3)27,
27(5)147,
28(3)27,
28(3)29,
28(3)71
- highly,
11(3)259,
13(3)240,
13(4)313,
15(3)211,
16(3)260,
16(4)359,
19(4)246,
26(2)12,
26(3)13,
26(3)14,
26(3)22,
26(3)83,
26(3)91,
26(3)104,
26(4)20,
27(2)10,
27(3)18,
27(3)19,
27(3)27,
27(3)39,
27(3)50,
27(3)70,
27(3)80,
27(3)98,
27(4)107,
27(5)136,
28(1)10,
28(2)19,
28(3)41,
28(3)47,
28(3)49,
28(3)50,
28(3)52,
28(3)74,
28(4)105
- horizontal,
13(4)376,
26(3)40,
27(3)58,
27(3)71
- I.3.3,
4(1)1,
4(1)41,
4(4)247,
5(1)30,
5(1)51,
6(1)29,
6(3)167,
6(3)191,
6(3)215,
6(3)238,
6(4)245,
6(4)308,
7(1)61,
7(2)103,
7(2)129,
7(3)151,
8(1)1,
8(1)51,
9(1)1,
9(1)138,
9(3)245,
9(3)262,
9(3)278,
9(4)345,
9(4)376,
10(1)92,
10(2)182,
10(4)323,
11(2)103,
11(2)183,
11(3)201,
11(3)259,
11(3)276,
11(4)336,
11(4)348,
11(4)406,
12(2)136,
12(3)233,
12(3)251,
13(1)3,
13(3)240,
13(4)337,
13(4)376,
14(1)3,
14(1)58,
14(1)77,
14(3)233,
14(3)307,
15(4)332,
15(4)354,
16(2)109,
16(3)260,
16(4)420,
17(1)50,
17(2)71,
17(4)209,
17(4)238,
18(1)56,
18(3)213,
18(4)293,
18(4)316,
18(4)361,
19(2)79,
19(3)164,
19(3)204
- I.3.7,
5(1)30,
5(4)345,
6(1)19,
6(3)167,
6(3)191,
6(3)215,
6(3)238,
6(4)308,
7(2)103,
7(2)129,
7(3)151,
7(4)249,
8(1)51,
9(1)1,
9(2)170,
9(2)226,
9(3)245,
9(3)278,
10(2)201,
11(1)1,
11(2)103,
11(3)201,
11(4)305,
11(4)373,
12(3)233,
12(3)251,
13(4)313,
13(4)376,
14(1)3,
14(1)58,
14(1)77,
14(3)233,
14(4)311,
14(4)337,
15(1)72,
15(3)179,
15(3)249,
15(4)265,
16(1)3,
16(2)109,
16(3)260,
16(3)277,
16(4)397,
17(1)50,
17(2)116,
17(3)158,
18(1)56,
18(2)128,
18(3)213,
18(3)257,
18(3)278,
18(4)361,
19(1)1,
19(2)122,
19(3)164
- I37,
1(1)7,
1(1)43,
1(2)129,
1(2)186,
1(4)274,
2(2)91,
2(3)192,
2(4)264,
3(2)110,
3(3)223,
4(1)12,
4(2)124,
4(4)247
- intersecting,
7(3)151,
12(4)305,
13(1)73,
14(1)21,
18(3)257,
28(3)50
- intersection,
2(3)161,
3(3)223,
6(4)274,
8(1)25,
8(3)174,
8(3)235,
9(2)147,
10(1)92,
10(4)378,
11(1)12,
11(2)140,
13(1)73,
13(3)277,
13(3)308,
13(4)337,
13(4)400,
14(1)21,
15(3)223,
16(1)74,
16(3)296,
18(3)257,
25(3)1154,
27(1)3,
27(3)79,
27(3)87,
28(3)47,
28(3)84
- J.6,
4(1)12,
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(2)179,
16(3)319,
17(4)259,
18(1)35,
18(4)329,
19(1)27,
19(1)56
- Klok, Fopke,
6(3)238
- line/surface,
6(1)19,
6(4)308,
7(2)103,
7(2)129,
8(1)51,
9(2)170,
9(3)245,
9(3)278,
11(1)1,
11(2)103,
11(3)201,
14(4)337,
15(3)249
- main,
13(1)3,
13(1)73,
14(3)266,
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
- necessary,
11(4)406,
13(3)277,
13(4)400,
17(4)259,
20(1)10,
26(1)3,
26(3)5,
26(3)14,
26(3)46,
26(3)55,
26(3)60,
27(1)6,
27(5)130,
27(5)149,
28(3)82,
28(4)99
- normal,
16(4)397,
17(2)84,
18(2)171,
19(3)204,
22(4)1012,
23(4)1061,
24(3)536,
26(3)19,
26(3)22,
26(3)23,
26(3)24,
26(3)28,
26(3)44,
26(3)47,
26(3)66,
26(3)75,
26(3)101,
26(4)16,
27(1)3,
27(1)8,
27(3)41,
27(3)84,
27(5)119,
27(5)133,
27(5)141,
27(5)142,
27(5)156,
28(2)19,
28(2)20,
28(3)28,
28(3)71,
28(3)92
- obtain,
11(1)1,
13(1)3,
16(3)296,
17(3)158,
20(4)203,
26(2)9,
26(3)1,
26(3)11,
26(3)21,
26(3)47,
26(3)49,
26(3)56,
27(1)4,
27(3)89,
27(5)132,
27(5)140,
27(5)152,
27(5)164,
28(1)6,
28(3)71,
28(3)86,
28(3)90
- obtained,
10(2)182,
13(4)337,
14(4)363,
16(3)319,
18(2)195,
18(4)293,
19(1)27,
19(2)79,
19(2)122,
19(4)279,
19(4)302,
26(3)1,
26(3)86,
27(3)55,
27(3)57,
27(5)109,
27(5)133,
27(5)143,
27(5)152,
27(5)164,
28(2)19,
28(3)42
- package,
1(3)191,
4(1)41,
5(2)79,
6(4)308,
9(2)170,
11(3)276,
13(3)256,
13(3)277,
13(3)308,
15(3)211,
15(3)223,
27(3)86
- perform,
11(1)1,
11(4)406,
14(1)21,
14(1)58,
16(4)359,
17(4)209,
18(3)257,
26(3)5,
26(3)15,
26(3)22,
26(3)79,
26(3)89,
26(3)94,
26(3)101,
26(3)107,
27(3)33,
27(3)74,
27(3)98,
27(4)106,
27(5)135,
27(5)152,
27(5)160,
28(3)23,
28(3)26,
28(3)28,
28(3)33,
28(3)44,
28(3)47,
28(3)67,
28(3)82
- Picture/Image,
2(4)237,
4(1)1,
4(1)41,
4(4)247,
5(1)30,
5(1)51,
6(1)29,
6(3)167,
6(3)191,
6(3)215,
6(3)238,
6(4)245,
6(4)308,
7(1)61,
7(2)103,
7(2)129,
7(3)151,
8(1)1,
8(1)51,
9(1)1,
9(1)138,
9(3)245,
9(3)262,
9(3)278,
9(4)345,
9(4)376,
10(1)92,
10(2)182,
10(4)323,
11(2)103,
11(2)183,
11(3)201,
11(3)259,
11(3)276,
11(4)336,
11(4)348,
11(4)406,
12(2)136,
12(3)233,
12(3)251,
13(1)3,
13(3)240,
13(4)337,
13(4)376,
14(1)3,
14(1)58,
14(1)77,
14(3)233,
14(3)307,
15(4)332,
15(4)354,
16(2)109,
16(3)260,
16(4)420,
17(1)50,
17(2)71,
17(4)209,
17(4)238,
18(1)56,
18(3)213,
18(4)293,
18(4)316,
18(4)361,
19(2)79,
19(3)164,
19(3)204
- possible,
3(3)223,
11(4)336,
11(4)348,
12(4)305,
13(1)3,
13(2)137,
13(3)240,
13(4)337,
13(4)376,
13(4)400,
14(1)77,
14(3)233,
15(3)179,
16(3)296,
17(3)158,
19(2)122,
20(2)67,
21(1)1,
26(3)32,
26(3)33,
26(3)36,
26(3)88,
27(2)11,
27(2)12,
27(3)25,
27(3)28,
27(3)42,
27(3)43,
27(3)54,
27(3)58,
27(3)69,
27(3)71,
27(3)80,
27(3)81,
27(3)98,
27(5)114,
27(5)116,
27(5)118,
27(5)122,
27(5)125,
27(5)127,
27(5)130,
27(5)164,
28(3)52,
28(3)53,
28(3)55,
28(3)57,
28(3)59,
28(3)60,
28(3)61,
28(3)77,
28(3)78,
28(3)90,
28(3)94,
28(4)101
- presented,
3(1)52,
3(3)223,
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,
16(2)179,
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
- realism,
1(3)235,
4(4)247,
5(1)30,
5(4)345,
6(1)19,
6(3)167,
6(3)191,
6(3)215,
6(3)238,
6(4)308,
7(2)103,
7(2)129,
7(3)151,
7(4)249,
8(1)51,
9(1)1,
9(2)170,
9(2)226,
9(3)245,
9(3)278,
10(1)40,
10(2)201,
11(1)1,
11(2)103,
11(3)201,
11(4)305,
11(4)373,
12(3)233,
12(3)251,
13(4)313,
13(4)376,
14(1)3,
14(1)58,
14(1)77,
14(3)233,
14(4)311,
14(4)337,
15(1)72,
15(3)179,
15(3)249,
15(4)265,
16(1)3,
16(2)109,
16(3)260,
16(3)277,
16(4)397,
17(1)50,
17(2)116,
17(3)158,
18(1)56,
18(2)128,
18(3)213,
18(3)257,
18(3)278,
18(4)361,
19(1)1,
19(2)122,
19(3)164,
20(3)151,
26(3)53,
26(3)99,
27(3)24,
27(3)28,
27(3)57,
28(3)53,
28(3)61
- realistic,
11(4)305,
13(4)313,
14(4)311,
14(4)337,
15(4)265,
16(4)397,
20(3)151,
21(3)630,
22(2)152,
22(3)888,
23(3)514,
26(1)1,
26(1)3,
26(3)37,
26(3)60,
26(3)67,
26(3)73,
26(3)76,
26(3)77,
26(3)81,
26(3)86,
26(3)97,
26(3)106,
26(4)13,
26(4)18,
27(1)6,
27(2)11,
27(3)26,
27(3)31,
27(3)32,
27(3)49,
27(3)53,
27(3)60,
27(3)80,
27(3)94,
27(5)108,
27(5)117,
27(5)121,
27(5)128,
27(5)138,
28(1)7,
28(2)16,
28(3)57,
28(3)58,
28(4)99,
28(4)106
- reduced,
13(1)73,
16(3)217,
17(3)177,
23(3)393,
25(3)1174,
26(2)10,
26(3)70,
26(3)75,
26(3)83,
26(3)89,
26(3)94,
26(3)95,
27(2)13,
27(3)19,
27(3)56,
27(3)64,
27(5)128,
27(5)138,
28(1)7,
28(3)22,
28(3)39,
28(3)48,
28(3)53
- see,
4(4)247,
4(4)276,
5(1)51,
6(1)79,
6(2)162,
6(3)238,
8(1)25,
8(1)41,
9(2)226,
9(2)233,
9(2)237,
9(4)345,
10(1)109,
10(3)319,
11(2)183,
12(1)108,
13(3)308,
13(4)337,
14(3)307,
27(3)59,
27(5)124
- sense,
10(2)152,
26(3)22,
26(4)16,
27(3)14,
28(3)65
- shading,
1(1)7,
4(2)124,
5(1)30,
6(3)167,
7(2)103,
7(3)151,
7(4)249,
8(1)51,
9(2)226,
11(4)305,
12(3)233,
12(3)251,
14(1)3,
14(1)58,
14(3)233,
15(3)249,
15(4)265,
16(1)3,
16(2)109,
16(3)260,
16(4)397,
17(3)158,
18(1)56,
18(3)213,
18(3)278,
19(1)1,
19(2)122,
19(3)164,
19(3)204,
21(1)52,
25(3)1199,
26(1)2,
26(3)17,
26(3)18,
26(3)19,
26(3)20,
26(3)25,
26(3)28,
26(3)56,
26(3)77,
27(1)8,
27(3)59,
27(3)72,
27(3)90,
27(5)127,
27(5)128,
27(5)141,
27(5)142,
27(5)156,
28(3)54,
28(3)91
- shadowing,
5(1)30,
6(3)167,
7(2)103,
7(3)151,
7(4)249,
8(1)51,
9(2)226,
11(4)305,
12(3)233,
12(3)251,
14(1)3,
14(1)58,
14(3)233,
15(3)249,
15(4)265,
16(1)3,
16(2)109,
16(3)260,
16(4)397,
17(3)158,
18(1)56,
18(3)213,
18(3)278,
19(1)1,
19(2)122,
19(3)164,
21(1)1
- solved,
10(1)1,
11(4)348,
12(2)113,
13(2)156,
13(4)313,
26(3)43,
26(3)80,
27(3)68,
27(3)77,
27(3)81,
28(1)5,
28(2)13,
28(3)38,
28(3)39,
28(3)53
- sweeping,
3(3)223,
27(3)87
- tangent,
7(2)83,
9(4)424,
10(1)92,
11(1)61,
12(3)209,
15(1)72,
19(4)279,
20(1)1,
25(2)340,
26(3)56,
27(1)8,
27(2)10,
27(3)95,
27(5)133,
28(1)8,
28(3)56
- term,
5(4)318,
10(1)71,
10(2)152,
13(2)137,
13(2)177,
16(3)319,
17(2)116,
17(3)177,
17(4)209,
18(2)96,
18(2)128,
18(2)171,
18(2)195,
18(3)257,
18(4)316,
19(1)27,
19(3)164,
21(1)20,
26(1)2,
26(3)27,
26(3)39,
26(3)43,
26(3)47,
26(3)108,
26(4)13,
26(4)15,
27(3)17,
27(3)35,
27(3)57,
27(3)65,
27(3)73,
27(3)90,
27(3)95,
27(5)126,
27(5)143,
27(5)147,
28(2)13,
28(3)23,
28(3)39,
28(3)43,
28(3)54,
28(3)61,
28(3)67
- then,
3(1)52,
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(2)179,
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
- Three-Dimensional,
5(1)30,
5(4)345,
6(1)19,
6(3)167,
6(3)191,
6(3)215,
6(3)238,
6(4)308,
7(2)103,
7(2)129,
7(3)151,
7(4)249,
8(1)51,
9(1)1,
9(1)105,
9(2)170,
9(2)226,
9(3)245,
9(3)278,
10(2)201,
11(1)1,
11(2)103,
11(3)201,
11(4)305,
11(4)373,
12(3)233,
12(3)251,
13(1)43,
13(4)313,
13(4)376,
14(1)3,
14(1)58,
14(1)77,
14(3)233,
14(4)311,
14(4)337,
15(1)72,
15(3)179,
15(3)249,
15(4)265,
16(1)3,
16(2)109,
16(3)260,
16(3)277,
16(4)397,
17(1)50,
17(2)116,
17(3)158,
18(1)56,
18(2)128,
18(3)213,
18(3)257,
18(3)278,
18(4)361,
19(1)1,
19(2)122,
19(3)164
- three-dimensional,
3(4)266,
7(1)61,
10(2)201,
11(3)228,
12(4)327,
15(4)332,
17(2)116,
18(4)293,
26(3)19,
26(3)43,
26(3)45,
27(3)65,
27(3)103,
27(5)110,
28(3)87,
28(4)102
- tracing,
1(2)85,
1(3)235,
2(3)161,
3(1)52,
3(3)223,
5(1)51,
6(3)238,
7(3)151,
9(1)1,
9(3)245,
9(4)389,
13(4)376,
14(1)77,
14(4)337,
16(1)74,
18(3)213,
18(3)278,
18(4)361,
19(2)79,
19(2)122,
19(4)246,
21(3)703,
24(3)434,
24(3)1127,
24(3)1156,
24(3)1176,
24(3)1186,
25(3)485,
26(1)6,
26(3)59,
26(3)66,
26(3)86,
27(1)7,
27(2)13,
27(3)31,
27(3)32,
27(3)33,
27(3)35,
27(3)36,
27(3)86,
27(3)92,
27(5)126,
27(5)130,
28(3)47
- trajectory,
18(4)293,
20(4)203,
26(3)6,
26(3)8,
26(3)84,
27(3)80,
27(5)163,
28(3)53,
28(3)56,
28(3)59
- transforming,
26(3)94
- two-dimensional,
11(1)40,
11(2)152,
15(3)211,
15(4)332,
16(1)34,
19(2)79,
26(3)45,
27(3)42,
28(3)54
- vertical,
26(3)40,
28(3)64
- very,
10(2)182,
11(3)228,
11(4)336,
13(2)137,
13(3)240,
14(3)266,
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
- visible,
1(1)25,
1(3)235,
6(1)19,
6(4)308,
7(2)103,
7(2)129,
8(1)51,
9(2)170,
9(3)245,
9(3)278,
11(2)103,
11(3)201,
11(4)373,
14(1)58,
14(4)337,
15(1)37,
15(4)332,
17(4)238,
18(2)96,
19(2)122,
26(3)24,
26(3)39,
26(3)75,
26(3)76,
26(3)86,
26(3)87,
26(3)98,
26(3)104,
26(4)20,
27(3)31,
27(3)68,
27(3)69,
27(3)87,
27(5)108,
27(5)140,
27(5)161,
28(3)76,
28(3)92,
28(3)96,
28(3)98
- way,
10(1)92,
10(2)111,
10(2)182,
12(4)305,
13(4)337,
14(4)311,
15(3)179,
15(3)211,
18(1)35,
18(2)96,
18(4)316,
19(2)79,
20(3)151,
26(3)17,
26(3)20,
26(3)45,
26(3)55,
27(2)10,
27(2)12,
27(3)26,
27(3)42,
27(3)67,
27(3)75,
27(3)81,
27(3)87,
27(3)93,
27(5)114,
27(5)116,
27(5)126,
27(5)127,
27(5)136,
27(5)137,
27(5)138,
27(5)149,
27(5)150,
27(5)160,
28(1)1,
28(2)18,
28(2)20,
28(3)21,
28(3)34,
28(3)36,
28(3)65,
28(3)73,
28(3)85,
28(4)102,
28(4)105
- where,
9(3)245,
11(1)12,
11(1)40,
11(1)61,
11(4)348,
13(4)313,
13(4)337,
14(4)363,
17(1)1,
17(2)71,
17(2)116,
18(1)56,
18(4)316,
19(2)79,
19(3)185,
19(4)302,
20(3)151,
26(1)3,
26(2)8,
26(3)10,
26(3)18,
26(3)43,
26(3)50,
26(3)57,
26(3)60,
26(3)63,
26(3)74,
26(3)78,
26(3)86,
26(3)94,
26(3)101,
26(4)14,
27(1)7,
27(1)8,
27(3)33,
27(3)52,
27(3)58,
27(3)69,
27(3)85,
27(3)86,
27(3)88,
27(4)104,
27(5)114,
27(5)121,
27(5)130,
27(5)134,
27(5)145,
27(5)146,
27(5)147,
27(5)153,
27(5)157,
27(5)159,
27(5)163,
28(1)9,
28(2)18,
28(3)33,
28(3)42,
28(3)55,
28(3)67,
28(3)71,
28(3)77,
28(3)82,
28(3)84,
28(3)94,
28(3)98,
28(4)104