» Coordinate Systems
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Coordinate Systems


Left-handed system

vvvv is using a left-handed coordinate system with:

  • positive X going right
  • positive Y going up
  • positive Z going forward (ie. into the screen).

This corresponds to the DirectX default.


In vvvv rotations are specified in fractions of full counter-clockwise cycles (turns).

 0° = 0 cycles
 90° = 0.25 cycles
 180° = 0.5 cycles
 270° = 0.75 cycles
 360° = 1 cycle
 720° = 2 cycles

Search the NodeBrowser for Cycles, Degrees or Radians to find nodes that convert between the different scales.

For more about angles and cyclic animations check:

Renderer's space

The window area has a default range of -1 to +1 in both dimensions. The origin with coordinate 0 is in the middle of the window.

A standard quad has width and height of 1 with its center at (0, 0). Therefore the quad extends from -0.5 to +0.5 in both dimensions.

Resizing the window stretches the coordinate system in the same way as the window.

See Aspect Ratio on how to avoid stretching.

Object Space

The coordinate space in which the vertices of a mesh are specified is called the object space. When preparing meshes for use in vvvv it makes sense to think about the object-spaces dimensions. If you need realistic scaling from between different meshes you'd best think of one unit in object space being equal to 1 meter in real life.

Otherwise if you're just dealing with a bunch of objects that need no special size it's often useful to keep their vertices within a 1 unit cube.

World Space

The coordinate system of the 3d scene is called World space (aka Model space).

When placing a Mesh into World space it first sits with its own center at the worlds center. To position a Mesh in the scene its vertex positions are multiplied with a so called WorldMatrix. The WorldMatrix is the Transform of any Effect? node.

View Space

View space (aka camera space) is the coordinate system relative to the camera. To place a Mesh into View space its vertex positions (in World space) are multiplied by the ViewMatrix. The ViewMatrix is specified via the View on the Renderer (EX9). It defines position and rotation of the camera.

Projection Space

And this is what the camera sees:

Projection space (aka Screen space, Clip space, Image space) finally is the 2d space of the screen. To project a Mesh onto the screen its vertex positions (in View space) are multiplied by the ProjectionMatrix. The ProjectionMatrix is specified via the Projection Transform on the Renderer (EX9).

Texture Space

MSDN on Texture Coordinates

Texture space is the 2d coordinate system of a texture, ranging from 0/0 (topleft) to 1/1 (bottomright). It is used by the sampler to lookup for pixels at a particular position in a texture.

See also:

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~17h ago

mediadog: And then come to the opening of Paradise that evening: http://bit.ly/2naJNcz

~17h ago

mediadog: In central NY Friday? Doing demo and panel talk "Making VR in VR with vvvv" as Sundance Ignite at SU: http://bit.ly/2mY56Ns

~2d ago

dominikKoller: Christina Engelbart and Bret Victor made a video digest of the Mother of All Demons http://www.dougengelbart.org/firsts/1968-demo-interactive.html

~3d ago

tekcor: what a sweet thread... and no one replied.. wonder if the two best vvvv friends are still with us? https://discourse.vvvv.org/t/personality-through-a-node-happy-birthday-aurel/11330

~3d ago

tekcor: @skyliner: district9 ship cg node graph, nice find!

~4d ago

microdee: now VPDB supports filters from URL hash notation, like https://vvvvpm.github.io/#dx11-vvvv/latest enjoy! ;)

~4d ago

bjoern: Does anyone have the material from the Openscad workshop: http://node15.vvvv.org/program/workshop/3d-printing-vvvv-and-openscad @elektromeier ?