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Efficient Least Squares Coordinate Transformation for an Arbitrary Number of Parameters
Publisher: American Society of Civil Engineers
Abstract: By means of constructing equivalent linear problems, Greenfeld (1997) derived closed-form formulas for four- and six-parameter least squares coordinate transformations between two planar systems, so that users can obtain ...
Proof of Tienstra's Formula by Finite-Element Method
Publisher: American Society of Civil Engineers
Abstract: Tienstra's formula is proven with a familiar idea, namely, natural coordinates in the finite-element method are the starting points. The proof is completed by an interesting application of modern computing technology—symbolic ...
Proof of Tienstra's Formula for an External Observation Point
Publisher: American Society of Civil Engineers
Abstract: As a continuation of the writers' previous work on establishment of Tienstra's formula via finite-element ideas for an internal observation point, the formula is proven for the case where the observation point lies outside ...
Automated Least-Squares Adjustment of Triangulation-Trilateration Figures
Publisher: American Society of Civil Engineers
Abstract: Two nonlinear horizontal survey adjustment problems, one for a triangle and the other for a quadrilateral, were analyzed in Smith and Varnes (1987) using traditional methods. This paper demonstrates a new approach to solve ...
New Solutions to Optimum Vertical Curve Problem
Publisher: American Society of Civil Engineers
Abstract: Estimating curve parameters using observed data is of fundamental importance to surveyors. In 1999 Easa converted the
3D Visualization of Structures Using Finite-Element Analysis in Teaching
Publisher: American Society of Civil Engineers
Abstract: This paper presents the results of a 4-year study (from 2006–2009) using three-dimensional (3D) visualization of structures for teaching in civil engineering. 3D finite-element models have been developed to simulate the ...