@@ -4,56 +4,58 @@ Field Coordinate System Definition
44Scope
55-----
66
7+
78This document defines the Field Coordinate System
8- for a *FIRST * Tech Challenge playing field . This definition can be
9+ for a *FIRST * Tech Challenge playing Field . This definition can be
910used for consistent field-centric navigation, target localization and path
1011planning.
1112
1213The Field Coordinate System is a
1314`three-dimensional Cartesian coordinate system
1415<https://en.wikipedia.org/wiki/Cartesian_coordinate_system#Three_dimensions> `__
1516which means that the three axes are at right angles to each other.
16- The X and Y axes will refer to a position on the field and Z axis a height above the field .
17+ The X and Y axes will refer to a position on the Field and Z axis a height above the Field .
1718
1819Reference Frame
1920---------------
2021
21- The reference frame for this definition is the field perimeter wall, adjacent
22- to the RED Alliance Station ( known here as the: RED WALL) . The definition is
23- from the perspective of a person, standing outside the field , in the center of
24- RED WALL , looking towards the center of the field .
22+ The reference frame for this definition is the Field perimeter wall, adjacent
23+ to the red Alliance Area, known here after as the Red Wall . The definition is
24+ from the perspective of a person, standing outside the Field , in the center of
25+ Red Wall , looking towards the center of the Field .
2526
26- Caveat: If the Red Alliance Station is ever adjacent to two perimeter walls,
27- the RED WALL will be the one with *most * contact with the Alliance Station. If
28- the red Alliance Station is ever adjacent to two perimeter walls EQUALLY, then
29- the most clockwise of the two walls will be considered to be the RED WALL.
27+ .. note ::
28+ If the red Alliance Area is ever adjacent to two perimeter walls,
29+ the Red Wall will be the one with *most * contact with the Alliance Area. If
30+ the red Alliance Area is ever adjacent to two perimeter walls *equally *, then
31+ the most clockwise of the two walls will be considered to be the Red Wall.
3032
3133Origin
3234^^^^^^
3335
3436The 0,0,0 origin of the *FIRST * Tech Challenge coordinate system is the point
35- in the center of the field , equidistant from all 4 perimeter walls (where the
37+ in the center of the Field , equidistant from all 4 perimeter walls (where the
3638four center tiles meet). The origin point rests on the top surface of the floor
3739mat.
3840
3941X Axis
4042^^^^^^
4143
42- Looking at the origin from the RED WALL , the X axis extends through the origin
43- point and runs to the right and left, parallel with the RED WALL . The X axis
44+ Looking at the origin from the Red Wall , the X axis extends through the origin
45+ point and runs to the right and left, parallel with the Red Wall . The X axis
4446values increase to the right.
4547
4648Y Axis
4749^^^^^^
4850
49- Looking at the origin from the RED WALL , the Y axis extends through the origin
50- point and runs out and in, perpendicular to the RED WALL. Increasing Y values
51- run out (away) from the RED WALL .
51+ Looking at the origin from the Red Wall , the Y axis extends through the origin
52+ point and runs out and in, perpendicular to the Red Wall. Increasing Y values
53+ run out (away) from the Red Wall .
5254
5355Z Axis
5456^^^^^^
5557
56- Looking at the origin from the RED WALL , the Z axis extends through the origin
58+ Looking at the origin from the Red Wall , the Z axis extends through the origin
5759point and runs up and down in a vertical line. Increasing Z values extend
5860upwards.
5961
@@ -63,7 +65,8 @@ Rotation About Axes
6365When considering rotations about an axis, consider yourself looking down the
6466axis from the positive end towards the origin. Positive
6567rotations are then counterclockwise and negative rotations clockwise.
66- This rotation convention comes from the `right hand rule <https://en.wikipedia.org/wiki/Right-hand_rule >`__ of classic geometry.
68+ This rotation convention comes from the
69+ `right hand rule <https://en.wikipedia.org/wiki/Right-hand_rule >`__ of classic geometry.
6770
6871.. figure :: images/image1.jpg
6972 :width: 35%
@@ -74,66 +77,89 @@ This rotation convention comes from the `right hand rule <https://en.wikipedia.o
7477 showing the counterclockwise rotations about each axis.
7578
7679A rotation example: consider looking down the positive Z axis towards the origin.
77- This would be like standing in the middle of the field
78- looking down at the intersection of the tiles in the very center of the field .
80+ This would be like standing in the middle of the Field
81+ looking down at the intersection of the tiles in the very center of the Field .
7982A positive rotation about the Z axis is then counterclockwise.
80- Example: a robot spinning clockwise on the field is making a negative rotation about the Z axis.
83+ Example: a robot spinning clockwise on the Field is making a negative rotation about the Z axis.
8184
8285Field Configuration Examples
8386----------------------------
8487
8588Below are two examples illustrating the Field Coordinate System for different
86- *FIRST * Tech Challenge field configurations.
89+ *FIRST * Tech Challenge Field configurations.
8790
88- In a diamond field configuration the two alliance walls are adjacent.
89- The field is rotated 45 degrees such that both alliances face the audience.
90- The red alliance will be on the right as seen from the audience.
91- The Y axis points across the field from the RED WALL and the X axis points to
92- the Blue Alliance on the right side of the field.
91+ In a diamond Field configuration the two Alliance walls are adjacent.
92+ The Field is rotated 45 degrees such that both Alliance Areas face the audience.
93+ From the audience perspective the Field forms a diamond shape.
94+ The Red Wall will be on the right as seen from the audience,
95+ and the blue wall will be on the left.
96+ The Y axis points across the Field as seen from the Red Wall.
97+ The X axis points to the blue wall.
9398
9499.. figure :: images/image2.jpg
95100 :width: 75%
96101 :align: center
97102 :class: no-scaled-link
98- :alt: a diamond field
103+ :alt: a diamond Field
99104
100- from the FIRST RES-Q game
105+ from the * FIRST * RES-Q game
101106
102- In a square field configuration the two alliances face each other across the field.
103- The field is oriented such that the red alliance is on the right as seen from the audience.
104- The Y axis points across the field to the Blue Alliance and the X axis points
105- to the right side of the field, away from the audience.
107+ In a square Field configuration the two Alliances face each other across the Field.
108+ The Field is oriented such that the Red Wall is on the right as seen from the audience,
109+ and the blue wall will be on the left.
110+ The Y axis points across the Field from the Red Wall to the blue wall.
111+ The X axis points away from the audience to the rear of the Field.
106112
107113.. figure :: images/image3.jpg
108114 :width: 75%
109115 :align: center
110116 :class: no-scaled-link
111- :alt: a square field
117+ :alt: a square Field
112118
113119 from the Cascade Effect game
114120
115121.. note ::
116- In both field configurations the Red Alliance team members are facing out along the positive Y axis
117- and the Z axis points up from the center of the field .
122+ In both Field configurations the red Alliance is facing out along the positive Y axis,
123+ and the Z axis points up from the center of the Field .
118124
119- In the diamond field configuration, the X axis is pointing
120- towards the Blue Alliance, but in the square field configuration
121- the Y axis is pointing towards the Blue Alliance.
125+ In the diamond Field configuration the X axis is pointing
126+ towards the blue Alliance. In the square Field configuration
127+ the Y axis is pointing towards the blue Alliance.
122128
123129Measured Values
124130---------------
125131
126- The following values have been measured from a 2016 competition field . They are
132+ The following values have been measured from a 2016 competition Field . They are
127133representative only, and should not be assumed to be exact, or guaranteed.
128134
129- - Distance between opposite inside faces of panels: 3580 mm
130- (if field assembled well: the straps give some adjustment tolerance)
135+ - Distance between opposite inside faces of panels: 3580 mm,
136+ (if the Field is assembled well: the straps give some adjustment tolerance)
131137- Polycarbonate transparencies have a visible opening height of 255 mm
132138- The top edge of transparencies is 30 mm from the top of the perimeter
133139- Total perimeter height is 313 mm
134140- Tiles are 13 mm thick
135141
136- So, for a diamond field configuration, the corner of the field closest to the
142+ So, for a diamond Field configuration, the corner of the Field closest to the
137143audience, at a height equal to the top of the perimeter wall, would have a
138144coordinate position of: (-1790, 1790, 300).
139145
146+ Glossary
147+ --------
148+
149+ .. glossary ::
150+
151+ Alliance
152+ An Alliance is a cooperative of two *FIRST * Tech Challenge teams.
153+ An Alliance in the red Alliance Area is known as the red Alliance,
154+ and an Alliance in the blue Alliance Area is known as the blue Alliance.
155+
156+ Alliance Area
157+ A 120 inch (~304.8 cm) wide by 42 inch (~106.7 cm) deep by infinitely tall volume formed
158+ by placing Alliance colored tape onto the flooring surface outside of the Field.
159+ The Alliance Area includes the taped lines.
160+ The red Alliance Area will have red tape, the blue Alliance Area will have blue tape.
161+
162+ Field
163+ An approximately 12 foot (3.66m) by 12 foot (3.66m) Area bounded by the
164+ outside edge of the extrusion that frames the walls of the Field perimeter.
165+ The flooring surface of the Field is made of 36 (nominal size) 24 inch by 24 inch by 5/8 inch interlocking soft foam tiles.
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