Monday, June 02, 2014
Conservation laws and self-organization
perturb
compensate
overshoot
compensate
overshoot more (feed-forward)
. . .
reach limit
compensate
overshoot less (feed-back)
compensate
balance
centrifugal/evolution
centripetal/involution
relationship to symmetry and conservation laws using 3D editing as a metaphor:
Shift 3D scene to allow 2D symmetry enhancement from a limited view
If the alignment is wrong then the local symmetry can destroy global symmetry
If the alignment is close enough then the problem can be overcome with a series of small local adjustments from different 2D views
2D Symmetry around a point involves summing to zero (conservation in one dimension)
2D symmetry around a line involves mapping pairs of point across an axis that sums to zero
The point or axis of symmetry provides a kind of compression function
compensate
overshoot
compensate
overshoot more (feed-forward)
. . .
reach limit
compensate
overshoot less (feed-back)
compensate
balance
centrifugal/evolution
centripetal/involution
relationship to symmetry and conservation laws using 3D editing as a metaphor:
Shift 3D scene to allow 2D symmetry enhancement from a limited view
If the alignment is wrong then the local symmetry can destroy global symmetry
If the alignment is close enough then the problem can be overcome with a series of small local adjustments from different 2D views
2D Symmetry around a point involves summing to zero (conservation in one dimension)
2D symmetry around a line involves mapping pairs of point across an axis that sums to zero
The point or axis of symmetry provides a kind of compression function
Comments:
Post a Comment