초록 ▼

is then applied to one or more location coordinate triples (x.sub.G1, y.sub.G1, z.sub.G1) in GC1 to produce corresponding location coordinate triples (x.sub.L1, y.sub.L1, z.sub.L1) in LC1. The inverse transformation (T.sub.LC1,GC1).sup.-1 carries LC1 into GC1. The location coordinates in the global

is then applied to one or more location coordinate triples (x.sub.G1, y.sub.G1, z.sub.G1) in GC1 to produce corresponding location coordinate triples (x.sub.L1, y.sub.L1, z.sub.L1) in LC1. The inverse transformation (T.sub.LC1,GC1).sup.-1 carries LC1 into GC1. The location coordinates in the global coordinate system GC1 can be determined using any suitable location determination system, such as GPS, GLONASS, Loran, Decca, Omega, Tacan or an FM subcarrier system.

대표청구항 ▼

[ I claim:] [17.] A method for optimally transforming location coordinates from a global system of survey coordinates to a local system of survey coordinates, the method comprising the steps of:determining a triple of location coordinates of a first global coordinate system for each of at least two

[ I claim:] [17.] A method for optimally transforming location coordinates from a global system of survey coordinates to a local system of survey coordinates, the method comprising the steps of:determining a triple of location coordinates of a first global coordinate system for each of at least two locations, where each location coordinate triple in the first global system corresponds to a triple of location coordinates in a first local coordinate system;using a computer to determine a first transformation, of the first local system into a second local coordinate system, that translates a location coordinate triple in the first local system by first selected translation coordinates;using the computer to determine a second transformation, of the first global system into a second global coordinate system, that translates a location coordinate triple by second selected translation coordinates;using the computer to determine a third transformation, of the second local system into a third local coordinate system, that rotates a location coordinate triple by a selected azimuthal rotation angle and by a selected polar rotation angle;providing a sequence of location coordinate triples, in the third local system, for physical locations that were determined in a previously-performed survey, and a corresponding sequence of location coordinate triples in the second global system, where a location coordinate triple in the third local system and a corresponding location coordinate triple in the second global system correspond to the same physical location;using the computer to determine a fourth transformation, of the second global system into the third local system, that has at least one adjustable parameter;choosing at least one adjustable parameter of the fourth transformation to minimize a survey transformation error, equal to a weighted sum of selected powers of magnitudes of differences between each member of the sequence of location coordinate triples in the second local system and the result of applying the fourth transformation to the corresponding member of the sequence of location coordinate triples in the third local system;anddetermining the result of applying a fifth transformation, of the first global system into the first local system, to at least one location coordinate triple in the first global system, where the fifth transformation is the inverse of the first transformation, applied to the inverse of the third transformation, applied to the fourth transformation, applied to the second transformation.