Efficient method for solving systems of discrete rotation and re

Data processing: measuring – calibrating – or testing – Measurement system – Orientation or position

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702152, 345433, 345440, G06F 1500

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active

06161078&

ABSTRACT:
A computer implemented, graph based method for determining the orientation of objects which can assume a plurality of orientations relative to a default orientation, including being rotated 90.degree. clockwise, mirrored about an X axis, or mirrored about a Y axis, where the X axis and the Y axis are orthogonal to each other, and having a plurality of orientation constraints, including a fixed orientation constraint which requires an object to have one of eight predefined orientations, a same orientation constraint which requires that every object in a set of two or more objects must have the same orientation, a mirrored orientation constraint, which requires that a pair of objects have a mirrored orientation about the X axis or the Y axis, and a same or mirrored orientation constraint, which requires that every object in a set of two or more objects must have either the same orientation or the mirrored orientation. Upon recognition of an overconstraint, connecting edges are traced backward, using the parent field, from the vertex for which an overconstraint was recognized to the first vertex found whose color was assigned or, if no such vertex is found, to the vertex for which an overconstraint was recognized, a set of constraints are formed which includes the recognized overconstraint and overconstraints corresponding to the edges which are traced, one of the constraints of the set of constraints is eliminated, and the graphing operation is repeated from the beginning.

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