OBD:PLEA: Difference between revisions
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:The oriented "plane inequation" can be used for: culling; collision. | :The oriented "plane inequation" can be used for: culling; collision. | ||
{{OBD_File_Footer | type=PLEA | prev=OTLF | next=PNTA | name=Plane Equation Array | family=Level}} | {{OBD_File_Footer | type=PLEA | prev=OTLF | next=PNTA | name=Plane Equation Array | family=Level}} | ||
Revision as of 12:33, 12 October 2007
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Offset | Type | Raw Hex | Value | Description |
---|---|---|---|---|
0x00 | res_id | 01 41 02 00 | 577 | 00577-.PLEA |
0x04 | lev_id | 01 00 00 06 | 3 | level 3 |
0x08 | char[20] | AD DE | dead | unused |
0x1C | int32 | 03 00 00 00 | 13554 | array size |
First element (black outline) | ||||
0x00 | float | 00 00 00 00 | 0.000000 | 1st coefficient of the plane equation (x-part of normal vector) |
0x04 | float | 00 00 00 00 | 0.000000 | 2nd coefficient of the plane equation (y-part of normal vector) |
0x08 | float | 00 00 80 3F | 1.000000 | 3rd coefficient of the plane equation (z-part of normal vector) |
0x0C | float | 00 00 19 44 | 612.000000 | 4th coefficient of the plane equation |
- Plane equation
- The canonical equation for a plane in 3D is :
- a * x + b * y + c * z + d = 0
- where (a, b, c, d) are 4 real numbers. The plane is the set of points (x, y, z) verifying that equation.
- It is likely that the four floats in one of a PLEA's packages are exactly the (a, b, c, d) of the above definition.
- In that case, the first package of the above example defines the plane (0 * x + 0 * y + 1 * z + 612 = 0), i.e., the vertical plane z = -612.
- It is possible, however, that the definition used is different, e.g. : a * x + b * y + c * z = d .
- In that case, the first package of the above example defines the plane (0 * x + 0 * y + 1 * z = 612), i.e., the vertical plane z = 612.
- Front/back
- The 4 numbers (a, b, c, d) can also serve to define whether a 3D point (x, y, z) is on the "front" side of the plane or in the "back".
- "points are in front of the plane if a * x + b * y + c * z >= d" (from commented Myth source)
- That would mean the plane equation is a * x + b * y + c * z = d , not a * x + b * y + c * z + d = 0 .
- It's rather easy to check (just flip the "normal" of the plane equation for a known axis-aligned quad).
- The oriented "plane inequation" can be used for: culling; collision.
ONI BINARY DATA |
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OTLF << Other file types >> PNTA |
PLEA : Plane Equation Array |
Level file |