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Started by Info-Graphics-Request
Mon, 02 Mar 1987 11:01
Info-Graphics Digest
Author: Info-Graphics-Request
Date: Mon, 02 Mar 1987 11:01
Date: Mon, 02 Mar 1987 11:01
771 lines
32058 bytes
32058 bytes
Info-Graphics Digest Mon Mar 2 03:01:08 PST 1987
- Send submissions to Info-Graphics@ADS.ARPA
- Send requests for list membership to Info-Graphics-Request@ADS.ARPA
Today's Topics:
Administrivia
the famous teapot (LONG MESSAGE -- DATA INCLUDED)
the famous teapot - vertices (LONG MESSAGE -- PROGRAM INCLUDED)
3d animation for IBM-PC (LONG MESSAGE -- PROGRAM INCLUDED)
----------------------------------------------------------------------
Date: Mon, 2 Mar 87 00:40:59 pst
From: Info-Graphics-Request@ADS.ARPA (Andy Cromarty)
Subject: Administrivia
1. This issue contains some useful data and software, including
the data for the famous "teapot" and some Pascal software to
help you use it, courtesy of Norm Badler. If this technique
of distributing software releavant to Info-Graphics readers
works, we will continue to use special issues of Info-Graphics
as a redistribution mechanism in this fashion.
2. The last issue contained some garbage in a couple messages.
Please remember that Info-Graphics is nearly fully automated
in its redistribution of what you send in. Garbage in, garbage
out.
Andy Cromarty
Info-Graphics-Request@ADS.ARPA
------------------------------
Posted-Date: Tue, 20 Jan 87 16:44 EST
From: Norm Badler <Badler@cis.upenn.edu>
Subject: the famous teapot (LONG MESSAGE -- DATA INCLUDED)
Date: Tue, 20 Jan 87 16:44 EST
Forwarded From: "Hatfield, Lansing (Chip)" <hatfield@lll-icdc.arpa> on Tue 20 Jan 1987 at 14:50
Subj: part 1 of teapot code and data
-----
Date: 20 Jan 87 11:18:00 PST
The following is from IEEE Computer Graphics and Applications, January, 1987:
"The Origins of the Teapot," by Frank Crow, Xerox PARC (from conversations
with Martin Newell and Jim Blinn), pages 8-19. The article describes the
origin of the computer model for the teapot which is frequently seen in
computer graphics images. The article includes pictures of the original
teapot, of a hand-drawn sketch used in modeling, and of many
computer-generated pictures of the teapot. The article describes
the history of the teapot, the modeling process, and why the teapot
shape is interesting.
If you are interested in more articles of this type, in more code or data
(such as the teapot data below) or have code or data that you would be
willing to share, please contact: Chip Hatfield, Lawrence Livermore National
Lab, PO Box 5504, Livermore, CA 94550 or HATFIELD@LLL-ICDC.ARPA.
-------------------------------------------------------------------
TeaPotWithBot.shape-- Martin Newell's Teapot with a bottom added
Created by: crow.pa at February 28, 1986 11:09:32 am PST
SurfaceType ~ Bezier, Closed, CountFromOne -- 306 vertices, 32 patches
Vertices ~ xyz: triple
1.4 0.0 2.4
1.4 -0.784 2.4
0.784 -1.4 2.4
0.0 -1.4 2.4
1.3375 0.0 2.53125
1.3375 -0.749 2.53125
0.749 -1.3375 2.53125
0.0 -1.3375 2.53125
1.4375 0.0 2.53125
1.4375 -0.805 2.53125
0.805 -1.4375 2.53125
0.0 -1.4375 2.53125
1.5 0.0 2.4
1.5 -0.84 2.4
0.84 -1.5 2.4
0.0 -1.5 2.4
-0.784 -1.4 2.4
-1.4 -0.784 2.4
-1.4 0.0 2.4
-0.749 -1.3375 2.53125
-1.3375 -0.749 2.53125
-1.3375 0.0 2.53125
-0.805 -1.4375 2.53125
-1.4375 -0.805 2.53125
-1.4375 0.0 2.53125
-0.84 -1.5 2.4
-1.5 -0.84 2.4
-1.5 0.0 2.4
-1.4 0.784 2.4
-0.784 1.4 2.4
0.0 1.4 2.4
-1.3375 0.749 2.53125
-0.749 1.3375 2.53125
0.0 1.3375 2.53125
-1.4375 0.805 2.53125
-0.805 1.4375 2.53125
0.0 1.4375 2.53125
-1.5 0.84 2.4
-0.84 1.5 2.4
0.0 1.5 2.4
0.784 1.4 2.4
1.4 0.784 2.4
0.749 1.3375 2.53125
1.3375 0.749 2.53125
0.805 1.4375 2.53125
1.4375 0.805 2.53125
0.84 1.5 2.4
1.5 0.84 2.4
1.75 0.0 1.875
1.75 -0.98 1.875
0.98 -1.75 1.875
0.0 -1.75 1.875
2.0 0.0 1.35
2.0 -1.12 1.35
1.12 -2.0 1.35
0.0 -2.0 1.35
2.0 0.0 0.9
2.0 -1.12 0.9
1.12 -2.0 0.9
0.0 -2.0 0.9
-0.98 -1.75 1.875
-1.75 -0.98 1.875
-1.75 0.0 1.875
-1.12 -2.0 1.35
-2.0 -1.12 1.35
-2.0 0.0 1.35
-1.12 -2.0 0.9
-2.0 -1.12 0.9
-2.0 0.0 0.9
-1.75 0.98 1.875
-0.98 1.75 1.875
0.0 1.75 1.875
-2.0 1.12 1.35
-1.12 2.0 1.35
0.0 2.0 1.35
-2.0 1.12 0.9
-1.12 2.0 0.9
0.0 2.0 0.9
0.98 1.75 1.875
1.75 0.98 1.875
1.12 2.0 1.35
2.0 1.12 1.35
1.12 2.0 0.9
2.0 1.12 0.9
2.0 0.0 0.45
2.0 -1.12 0.45
1.12 -2.0 0.45
0.0 -2.0 0.45
1.5 0.0 0.225
1.5 -0.84 0.225
0.84 -1.5 0.225
0.0 -1.5 0.225
1.5 0.0 0.15
1.5 -0.84 0.15
0.84 -1.5 0.15
0.0 -1.5 0.15
-1.12 -2.0 0.45
-2.0 -1.12 0.45
-2.0 0.0 0.45
-0.84 -1.5 0.225
-1.5 -0.84 0.225
-1.5 0.0 0.225
-0.84 -1.5 0.15
-1.5 -0.84 0.15
-1.5 0.0 0.15
-2.0 1.12 0.45
-1.12 2.0 0.45
0.0 2.0 0.45
-1.5 0.84 0.225
-0.84 1.5 0.225
0.0 1.5 0.225
-1.5 0.84 0.15
-0.84 1.5 0.15
0.0 1.5 0.15
1.12 2.0 0.45
2.0 1.12 0.45
0.84 1.5 0.225
1.5 0.84 0.225
0.84 1.5 0.15
1.5 0.84 0.15
-1.6 0.0 2.025
-1.6 -0.3 2.025
-1.5 -0.3 2.25
-1.5 0.0 2.25
-2.3 0.0 2.025
-2.3 -0.3 2.025
-2.5 -0.3 2.25
-2.5 0.0 2.25
-2.7 0.0 2.025
-2.7 -0.3 2.025
-3.0 -0.3 2.25
-3.0 0.0 2.25
-2.7 0.0 1.8
-2.7 -0.3 1.8
-3.0 -0.3 1.8
-3.0 0.0 1.8
-1.5 0.3 2.25
-1.6 0.3 2.025
-2.5 0.3 2.25
-2.3 0.3 2.025
-3.0 0.3 2.25
-2.7 0.3 2.025
-3.0 0.3 1.8
-2.7 0.3 1.8
-2.7 0.0 1.575
-2.7 -0.3 1.575
-3.0 -0.3 1.35
-3.0 0.0 1.35
-2.5 0.0 1.125
-2.5 -0.3 1.125
-2.65 -0.3 0.9375
-2.65 0.0 0.9375
-2.0 -0.3 0.9
-1.9 -0.3 0.6
-1.9 0.0 0.6
-3.0 0.3 1.35
-2.7 0.3 1.575
-2.65 0.3 0.9375
-2.5 0.3 1.125
-1.9 0.3 0.6
-2.0 0.3 0.9
1.7 0.0 1.425
1.7 -0.66 1.425
1.7 -0.66 0.6
1.7 0.0 0.6
2.6 0.0 1.425
2.6 -0.66 1.425
3.1 -0.66 0.825
3.1 0.0 0.825
2.3 0.0 2.1
2.3 -0.25 2.1
2.4 -0.25 2.025
2.4 0.0 2.025
2.7 0.0 2.4
2.7 -0.25 2.4
3.3 -0.25 2.4
3.3 0.0 2.4
1.7 0.66 0.6
1.7 0.66 1.425
3.1 0.66 0.825
2.6 0.66 1.425
2.4 0.25 2.025
2.3 0.25 2.1
3.3 0.25 2.4
2.7 0.25 2.4
2.8 0.0 2.475
2.8 -0.25 2.475
3.525 -0.25 2.49375
3.525 0.0 2.49375
2.9 0.0 2.475
2.9 -0.15 2.475
3.45 -0.15 2.5125
3.45 0.0 2.5125
2.8 0.0 2.4
2.8 -0.15 2.4
3.2 -0.15 2.4
3.2 0.0 2.4
3.525 0.25 2.49375
2.8 0.25 2.475
3.45 0.15 2.5125
2.9 0.15 2.475
3.2 0.15 2.4
2.8 0.15 2.4
0.0 0.0 3.15
0.0 -0.002 3.15
0.002 0.0 3.15
0.8 0.0 3.15
0.8 -0.45 3.15
0.45 -0.8 3.15
0.0 -0.8 3.15
0.0 0.0 2.85
0.2 0.0 2.7
0.2 -0.112 2.7
0.112 -0.2 2.7
0.0 -0.2 2.7
-0.002 0.0 3.15
-0.45 -0.8 3.15
-0.8 -0.45 3.15
-0.8 0.0 3.15
-0.112 -0.2 2.7
-0.2 -0.112 2.7
-0.2 0.0 2.7
0.0 0.002 3.15
-0.8 0.45 3.15
-0.45 0.8 3.15
0.0 0.8 3.15
-0.2 0.112 2.7
-0.112 0.2 2.7
0.0 0.2 2.7
0.45 0.8 3.15
0.8 0.45 3.15
0.112 0.2 2.7
0.2 0.112 2.7
0.4 0.0 2.55
0.4 -0.224 2.55
0.224 -0.4 2.55
0.0 -0.4 2.55
1.3 0.0 2.55
1.3 -0.728 2.55
0.728 -1.3 2.55
0.0 -1.3 2.55
1.3 0.0 2.4
1.3 -0.728 2.4
0.728 -1.3 2.4
0.0 -1.3 2.4
-0.224 -0.4 2.55
-0.4 -0.224 2.55
-0.4 0.0 2.55
-0.728 -1.3 2.55
-1.3 -0.728 2.55
-1.3 0.0 2.55
-0.728 -1.3 2.4
-1.3 -0.728 2.4
-1.3 0.0 2.4
-0.4 0.224 2.55
-0.224 0.4 2.55
0.0 0.4 2.55
-1.3 0.728 2.55
-0.728 1.3 2.55
0.0 1.3 2.55
-1.3 0.728 2.4
-0.728 1.3 2.4
0.0 1.3 2.4
0.224 0.4 2.55
0.4 0.224 2.55
0.728 1.3 2.55
1.3 0.728 2.55
0.728 1.3 2.4
1.3 0.728 2.4
0.0 0.0 0.0
1.5 0.0 0.15
1.5 0.84 0.15
0.84 1.5 0.15
0.0 1.5 0.15
1.5 0.0 0.075
1.5 0.84 0.075
0.84 1.5 0.075
0.0 1.5 0.075
1.425 0.0 0.0
1.425 0.798 0.0
0.798 1.425 0.0
0.0 1.425 0.0
-0.84 1.5 0.15
-1.5 0.84 0.15
-1.5 0.0 0.15
-0.84 1.5 0.075
-1.5 0.84 0.075
-1.5 0.0 0.075
-0.798 1.425 0.0
-1.425 0.798 0.0
-1.425 0.0 0.0
-1.5 -0.84 0.15
-0.84 -1.5 0.15
0.0 -1.5 0.15
-1.5 -0.84 0.075
-0.84 -1.5 0.075
0.0 -1.5 0.075
-1.425 -0.798 0.0
-0.798 -1.425 0.0
0.0 -1.425 0.0
0.84 -1.5 0.15
1.5 -0.84 0.15
0.84 -1.5 0.075
1.5 -0.84 0.075
0.798 -1.425 0.0
1.425 -0.798 0.0
This is the end of the vertex data for the teapot.
------
------------------------------
Posted-Date: Tue, 20 Jan 87 16:45 EST
From: Norm Badler <Badler@cis.upenn.edu>
Subject: the famous teapot - vertices (LONG MESSAGE -- PROGRAM INCLUDED)
Date: Tue, 20 Jan 87 16:45 EST
Forwarded From: "Hatfield, Lansing (Chip)" <hatfield@lll-icdc.arpa> on Tue 20 Jan 1987 at 14:53
Subj: part 2 of teapot code and data
-----
Date: 20 Jan 87 11:19:00 PST
This is the beginning of the vertex data for the teapot.
Patches ~ index: integer vertices: nats
-- rim
16 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
16 4 17 18 19 8 20 21 22 12 23 24 25 16 26 27 28
16 19 29 30 31 22 32 33 34 25 35 36 37 28 38 39 40
16 31 41 42 1 34 43 44 5 37 45 46 9 40 47 48 13
-- body
16 13 14 15 16 49 50 51 52 53 54 55 56 57 58 59 60
16 16 26 27 28 52 61 62 63 56 64 65 66 60 67 68 69
16 28 38 39 40 63 70 71 72 66 73 74 75 69 76 77 78
16 40 47 48 13 72 79 80 49 75 81 82 53 78 83 84 57
16 57 58 59 60 85 86 87 88 89 90 91 92 93 94 95 96
16 60 67 68 69 88 97 98 99 92 100 101 102 96 103 104 105
16 69 76 77 78 99 106 107 108 102 109 110 111 105 112 113 114
16 78 83 84 57 108 115 116 85 111 117 118 89 114 119 120 93
-- handle
16 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136
16 124 137 138 121 128 139 140 125 132 141 142 129 136 143 144 133
16 133 134 135 136 145 146 147 148 149 150 151 152 69 153 154 155
16 136 143 144 133 148 156 157 145 152 158 159 149 155 160 161 69
-- spout
16 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177
16 165 178 179 162 169 180 181 166 173 182 183 170 177 184 185 174
16 174 175 176 177 186 187 188 189 190 191 192 193 194 195 196 197
16 177 184 185 174 189 198 199 186 193 200 201 190 197 202 203 194
-- lid
16 204 204 204 204 207 208 209 210 211 211 211 211 212 213 214 215
16 204 204 204 204 210 217 218 219 211 211 211 211 215 220 221 222
16 204 204 204 204 219 224 225 226 211 211 211 211 222 227 228 229
16 204 204 204 204 226 230 231 207 211 211 211 211 229 232 233 212
16 212 213 214 215 234 235 236 237 238 239 240 241 242 243 244 245
16 215 220 221 222 237 246 247 248 241 249 250 251 245 252 253 254
16 222 227 228 229 248 255 256 257 251 258 259 260 254 261 262 263
16 229 232 233 212 257 264 265 234 260 266 267 238 263 268 269 242
-- bottom
16 270 270 270 270 279 280 281 282 275 276 277 278 271 272 273 274
16 270 270 270 270 282 289 290 291 278 286 287 288 274 283 284 285
16 270 270 270 270 291 298 299 300 288 295 296 297 285 292 293 294
16 270 270 270 270 300 305 306 279 297 303 304 275 294 301 302 271
{----------------------------------------------------------------------------}
{ The following Pascal procedure "Display_Patches" will draw a wire frame
representation of the patch data in the arrays "Ducks" and "Patches". The
loading of the data into the arrays is not shown. The following global
declarations are assumed: }
{----------------------------------------------------------------------------}
CONST
Degree = 3 ; { The degree of the Bezier'spline used }
Duck_Count = 306 ; { The number of control points "Ducks" }
Patch_Count = 32 ; { The number of surface patches }
TYPE
Duck_Type = RECORD X , Y , Z : Real ; END ;
{ Each duck is a three-vector }
Duck_Index_Type = 1 .. Duck_Count ;
Duck_Array_Type = ARRAY [ 1 .. Duck_Count ] OF Duck_Type ;
Patch_Type = ARRAY [ 0 .. Degree , 0 .. Degree ] OF Duck_Index_Type ;
{ Each patch points to 16 ducks }
Patch_Array_Type = ARRAY [ 1 .. Patch_Count ] OF Patch_Type ;
VAR
Ducks : Duck_Array_Type ; { store ducks here }
Patches : Patch_Array_Type ; { which ducks go with which patches }
{----------------------------------------------------------------------------}
{ The procedure "Display_Patches" and its support procedures are given below.
Note that the parameter "Steps" controls the granularity of the subdivision of
each patch for display. Try a value of 6 to start, then experiment. The
procedures "Move" and "Draw" should be replaced with the graphics procedures
appropriate for your system. }
{----------------------------------------------------------------------------}
PROCEDURE Blend_Vector (D0 , D1 , D2 , D3 : Duck_Type ; T : Real ;
VAR Result : Duck_Type) ;
BEGIN { Calculate vector cubic Bezier' spline value at parameter T }
Result.X := D0.X*(1-T)*(1-T)*(1-T) + D1.X*3*T*(1-T)*(1-T) +
D2.X*3*T*T*(1-T) + D3.X*T*T*T ;
Result.Y := D0.Y*(1-T)*(1-T)*(1-T) + D1.Y*3*T*(1-T)*(1-T) +
D2.Y*3*T*T*(1-T) + D3.Y*T*T*T ;
Result.Z := D0.Z*(1-T)*(1-T)*(1-T) + D1.Z*3*T*(1-T)*(1-T) +
D2.Z*3*T*T*(1-T) + D3.Z*T*T*T ;
END ; { procedure blend_vector }
{----------------------------------------------------------------------------}
PROCEDURE Display_Curve (D0, D1, D2, D3 : Duck_Type ; Steps : Integer) ;
VAR { Find "Step+1" points on the spline and }
T, Step : Real ; { draw "Step" line segments
Temp : Duck_Type ;
BEGIN
Step := 1 / Steps ;
T := Step ;
Move (D0.X, D0.Y, D0.Z) ; { move to start of spline }
WHILE T < 1 + Step / 2 DO
BEGIN
Blend_Vector (D0, D1, D2, D3, T, Temp) ;
Draw (Temp.X, Temp.Y, Temp.Z) ; { draw line segment to next point }
T := T + Step ;
END ; { While t < }
END ; { procedure display_curve }
{----------------------------------------------------------------------------}
{----------------------------------------------------------------------------}
PROCEDURE Display_Patch (VAR Patch : Patch_Type ; Steps : Integer) ;
VAR
T : Real ;
Step : Real ;
D0, D1, D2, D3 : Duck_Type ;
{ ducks for a particular constant U or V value }
BEGIN
Step := 1 / Steps ;
T := 0 ;
WHILE T < 1 + Step / 2 DO
BEGIN { splines of constant U }
Blend_Vector (Ducks [ Patch[0, 0] ], Ducks [ Patch[0, 1] ],
Ducks [ Patch[0, 2] ], Ducks [ Patch[0, 3] ], T, D0) ;
Blend_Vector (Ducks [ Patch[1, 0] ], Ducks [ Patch[1, 1] ],
Ducks [ Patch[1, 2] ], Ducks [ Patch[1, 3] ], T, D1) ;
Blend_Vector (Ducks [ Patch[2, 0] ], Ducks [ Patch[2, 1] ],
Ducks [ Patch[2, 2] ], Ducks [ Patch[2, 3] ], T, D2) ;
Blend_Vector (Ducks [ Patch[3, 0] ], Ducks [ Patch[3, 1] ],
Ducks [ Patch[3, 2] ], Ducks [ Patch[3, 3] ], T, D3) ;
Display_Curve (D0, D1, D2, D3, Steps) ;
{ splines of constant V }
Blend_Vector (Ducks [ Patch[0, 0] ], Ducks [ Patch[1, 0] ],
Ducks [ Patch[2, 0] ], Ducks [ Patch[3, 0] ], T, D0) ;
Blend_Vector (Ducks [ Patch[0, 1] ], Ducks [ Patch[1, 1] ],
Ducks [ Patch[2, 1] ], Ducks [ Patch[3, 1] ], T, D1) ;
Blend_Vector (Ducks [ Patch[0, 2] ], Ducks [ Patch[1, 2] ],
Ducks [ Patch[2, 2] ], Ducks [ Patch[3, 2] ], T, D2) ;
Blend_Vector (Ducks [ Patch[0, 3] ], Ducks [ Patch[1, 3] ],
Ducks [ Patch[2, 3] ], Ducks [ Patch[3, 3] ], T, D3) ;
Display_Curve (D0, D1, D2, D3, Steps) ;
T := T + Step ;
END ; { While t < }
END ; { procedure display_patch }
{----------------------------------------------------------------------------}
PROCEDURE Display_Patches (Steps : Integer) ;
VAR { "Steps" tells how much to divide up the patches }
Index : Integer ;
BEGIN
FOR Index := 1 TO Patch_Count DO
BEGIN
Display_Patch (Patches[Index], Steps) ;
END ; { for index }
END ; { procedure display_patches }
{ by Charles W. Grant, Lawrence Livermore National Laboratory }
{----------------------------------------------------------------------------}
------------------------------
From: Dale Gass <dalegass%dalcs%math.waterloo.edu@RELAY.CS.NET>
Date: 14 Jan 87 11:32:05 GMT
Subject: 3d animation for IBM-PC (LONG MESSAGE -- PROGRAM INCLUDED)
Here's an impressive three dimensional animation program I wrote for
the IBM-PC. It has had quite an evolution: originally written on an
Exidy Sorcerer, then an Apple II, and finally this souped-up PC version.
It is only about 8K long, but it does quite fast and smooth animation
of five objects simulataneously.
It is in UUencoded ARC format. Enjoy...
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! CUT HERE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
begin 600 3d.arc
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M4$#84T0U!9ZPIWK<5,"#OB@2DICD05)P06Y!, (0Q( %0)5(ANK)N[4XX0VL
2Q&%S&!(&H,+ ";X= @Q2 AH
end
------------------------------
End of INFO-GRAPHICS
********************
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