Geo-transform Extension
Version 10 (Jan Schacher, 08/03/2009 10:58 am)
| 1 | 1 | h1. Geo-transform Extension |
|
|---|---|---|---|
| 2 | 1 | ||
| 3 | 1 | describe a standard set of geometry matrix transforms, as found in computer graphics and 3D modelling: |
|
| 4 | 1 | http://en.wikipedia.org/wiki/Affine_transformation |
|
| 5 | 1 | ||
| 6 | 1 | transform a (set of) point(s) by use of a geometry matrix. |
|
| 7 | 2 | Jan Schacher | common operations: |
| 8 | 6 | Jan Schacher | |
| 9 | 1 | * translate |
|
| 10 | 1 | * rotate |
|
| 11 | 1 | * scale |
|
| 12 | 1 | * shear |
|
| 13 | 6 | Jan Schacher | |
| 14 | 5 | Jan Schacher | these operations are non commutable, order *_is_* important. |
| 15 | 5 | Jan Schacher | |
| 16 | 10 | Jan Schacher | transmit either the factors controlling the individual transforms: |
| 17 | 10 | Jan Schacher | |
| 18 | 10 | Jan Schacher | <pre> |
| 19 | 10 | Jan Schacher | /translate 0.0 0.0 0.0 |
| 20 | 10 | Jan Schacher | /rotate 0.0 0.0 90.0 |
| 21 | 10 | Jan Schacher | /scale 1.0 1.0 1.0 |
| 22 | 10 | Jan Schacher | /shear 0.0 0.0 0.0 0.0 0.0 0.0 |
| 23 | 10 | Jan Schacher | </pre> |
| 24 | 10 | Jan Schacher | |
| 25 | 8 | Jan Schacher | or the entire matrix, in specific matrix format (TODO:) |
| 26 | 8 | Jan Schacher | |
| 27 | 8 | Jan Schacher | |
| 28 | 8 | Jan Schacher | |
| 29 | 7 | Jan Schacher | _______________________________ |
| 30 | 7 | Jan Schacher | |
| 31 | 7 | Jan Schacher | h2. Example Implementations: |
| 32 | 5 | Jan Schacher | |
| 33 | 5 | Jan Schacher | Nils Peters: scene transform: link |
| 34 | 5 | Jan Schacher | |
| 35 | 5 | Jan Schacher | Jasch: 3Dmatrix External for MaxMSP: "jasch objects site":http://www.jasch.ch/dl |