Preface |
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vii | |
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1 | (24) |
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Description of the Discrete Model |
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1 | (9) |
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3 | (5) |
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8 | (1) |
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9 | (1) |
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Description of the Continuous Model |
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10 | (12) |
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A to AT: Integration by Parts |
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12 | (4) |
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16 | (2) |
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Change of Boundary Conditions |
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18 | (1) |
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19 | (2) |
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Green's Function as a Formal Covariance Function |
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21 | (1) |
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22 | (3) |
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25 | (30) |
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25 | (2) |
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27 | (10) |
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Eigenvectors and Eigenvalues |
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28 | (2) |
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30 | (2) |
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Singular Value Decomposition |
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32 | (1) |
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33 | (4) |
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37 | (5) |
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Random Errors in the Regular Traverse |
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37 | (4) |
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Systematic Errors in the Regular Traverse |
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41 | (1) |
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Varying the Boundary Conditions |
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42 | (6) |
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42 | (4) |
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Circumference of a Circle |
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46 | (2) |
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48 | (2) |
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Asymptotic Behavior of the Node Variance |
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50 | (2) |
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On the Smoothness and Roughness of the Eigenvectors |
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52 | (1) |
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Green's Formula for Plane Trigonometric Networks |
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53 | (2) |
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55 | (46) |
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56 | (11) |
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56 | (4) |
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60 | (7) |
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67 | (10) |
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Green's Function for the Unit Circle |
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67 | (2) |
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Green's Function for the Ellipse |
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69 | (7) |
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Green's Function for the Annulus |
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76 | (1) |
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Plane Elastic Continuous Networks: A Heuristic Exposition |
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77 | (4) |
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81 | (14) |
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81 | (5) |
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86 | (3) |
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89 | (1) |
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Combined Distance and Azimuth Networks |
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89 | (6) |
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Estimates of the Weighted Square Sum of Residuals: the Korn Inequality |
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95 | (6) |
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Networks with Relative Observations |
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101 | (26) |
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Dealing with Relative Observations |
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101 | (11) |
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112 | (8) |
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Solution of the Boundary Value Problem |
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120 | (7) |
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127 | (12) |
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Spectral Density of the Discrete Laplacian |
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127 | (5) |
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Spectral Distribution Function N (λ) |
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132 | (3) |
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Additional Remarks on the Spectral Properties of Geodetic Networks |
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135 | (4) |
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139 | (14) |
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Stiffness Matrix in Practice |
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139 | (2) |
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Displacement Functions given a Priori |
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141 | (4) |
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Merging of Digitized Maps |
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145 | (1) |
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Interpolation of Discrete Vector Field: Cubic Splines |
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146 | (7) |
Problems and M-files |
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153 | (6) |
Bibliography |
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159 | (6) |
Author Index |
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165 | (2) |
Index |
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167 | |