×

Optimization of survey coordinate transformations

  • US 5,614,913 A
  • Filed: 06/07/1995
  • Issued: 03/25/1997
  • Est. Priority Date: 06/07/1995
  • Status: Expired due to Term
First Claim
Patent Images

1. A method for determining location coordinates for a plurality of surveyed locations, the method comprising the steps of:

  • providing a location determination (LD) receiver having an LD signal antenna and an LD signal receiver/processor to receive and process LD signals transmitted from three or more LD signal sources, which are spaced apart from the LD receiver, and to use these LD signals to determine three-dimensional location coordinates for the LD signal antenna;

    using the LD signals received at the LD receiver to determine a first set of three-dimensional location coordinates (x'"'"'n,1,y'"'"'n,1,z'"'"'n,1) for N selected presently-surveyed locations, numbered n=1, 2, . . . , N (N≧

    3) in a first coordinate system G1;

    providing a second set of three-dimensional location coordinates (x'"'"'m,2, y'"'"'m,2, z'"'"'m,2) for M previously-surveyed locations, numbered m=1, 2, . . . , M (M≦

    N), where each previously-surveyed location number m=k is coincident with the presently-surveyed location number n=k for k=1, 2, . . . , M;

    providing a three-dimensional coordinate transformation T(G2;

    G1) of the first coordinate system G1 onto a second three-dimensional coordinate system G2, under which the location coordinates (x'"'"'n,1, y'"'"'n,1, z'"'"'n,1) for each of the N presently-surveyed locations in G1 are transformed into location coordinates (x"n,2, y"n,2, z"n,2) in G2 (n=1, 2, . . . , N);

    choosing the transformation T(G2;

    G1) so that the error sum ##EQU19## is minimized, where p is a selected positive number and em,fm and gm are selected non-negative weight coefficients; and

    determining the location coordinates (x"n,2, y"n,2, z"n,2) for at least one of the presently surveyed locations (n=1, 2, . . . , N) under the transformation T(G2;

    G1), and displaying these location coordinates by a visually perceptible or audibly perceptible image.

View all claims
  • 2 Assignments
Timeline View
Assignment View
    ×
    ×