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Morphic: Scene Graph

fbo, 2011-11-08

Origin vs. Position

Morphic is based on a scene graph model. 

The root of a scene graph tree in a Lively page is lively.morphic.World.current() (shorthand is $world). All other morphs that are visible in that world are nodes in that tree.

A submorph s inherits its transformation from s.owner. The transformation can be a
- rotation
- translation
- scale
or any combination of the above.

A morph's transformation can be obtained using its getTransform method. To obtain a morph's transformation relative to $world, call #getGlobalTransform.

Each morph m has a position and an origin. 

The position of m is m's translation component of its scene graph transformation relative to m.owner. m.getPosition() is a vector in m.owner's coordinates.

The origin of m is the origin of m's local coordinate system that its submorphs' coordinates are expressed in. Also, if you rotate or scale the morph, the center for these operations is its origin.

For many rectangular morphs r, r's origin is identical to r's position in local coordinates. (All that means is that in these cases, you might not even want to care.)

It can be useful to reset a morphs origin. You can do that either by dragging the red spot in the morph's halo or by calling setOrigin.

Here's an example:

Y

P'

v

P

The red arrow marks the yellow morph's (Y) initial position P in the light blue morph's coordinates. That initial position corresponds to the upper left corner of Y's bounding box, which is the bounding box of Y's shape.

After applying Y's transformation, Y has it's own (preliminary) local coordinate system (black arrows). 

setOrigin on Y causes the origin of its coordinate system to be translated to a new point (green arrow & green spot).  setOrigin(v) with v=pt(x,y) (with x,y in Y's local coordinate system) does two things:

    - set Y's new position P' (blue arrow) to P + v. Y would move by v.
    - translate Y's shape by (-1)*v in Y's local coordinate system, i. e. back to its previous position.
    - for all of Y's submorphs s: translate s by (-1)*v

This means that setOrigin never affects the absolute position of Y's shape (the actual rectangle) or the absolute position of any of its submorphs.

The purple morph is located at pt(0,0) in Y's resulting local coordinate system (yellow arrows).

Moved to Livedoc:
http://lively-kernel.org/repository/webwerkstatt/documentation/livedoc/Morphic/Scenegraph/PositionAndOrigin.xhtml

@Robert thanks for corrections!