Variances of Plane Parameters Fitted to Range Data
نویسنده
چکیده
Formulas for variances of plane parameters fitted with Nonlinear Least Squares to point clouds acquired by 3D imaging systems (e.g., LADAR) are derived. Two different error objective functions used in minimization are discussed: the orthogonal and the directional functions. Comparisons of corresponding formulas suggest the two functions can yield different results when applied to the same dataset.
منابع مشابه
Variances of Cylinder Parameters Fitted to Range Data
Industrial pipelines are frequently scanned with 3D imaging systems (e.g., LADAR) and cylinders are fitted to the collected data. Then, the fitted as-built model is compared with the as-designed model. Meaningful comparison between the two models requires estimates of uncertainties of fitted model parameters. In this paper, the formulas for variances of cylinder parameters fitted with Nonlinear...
متن کاملJump-Preserving Surface Reconstruction From Noisy Data
A new local smoothing procedure is suggested for jump-preserving surface reconstruction from noisy data. In a neighborhood of a given point in the design space, a plane is fitted by local linear kernel smoothing, giving the conventional local linear kernel estimator of the surface at the point. The neighborhood is then divided into two parts by a line passing through the given point and perpend...
متن کاملThe Effect of Boston Brace on Muscle Length of Patients with Idiopathic Scoliosis
Purpose: This study aimed to assess the effect of Boston brace on trunk muscles length as well as lower limbs and trunk range of motion in patients with idiopathic scoliosis. Methods: Five patients with idiopathic scoliosis with C shape curve and mean (SD) age, height, and weight of respectively 12.61(1.16) years, 1.53(0.08) m, and 35.6(6.1) kg participated in this study. Spatiotemporal para...
متن کاملElastic analysis of Shrink-fitted Thick FGM Cylinders Based on Linear Plane Elasticity Theory
Nowadays, functionally graded materials (FGM) are widely used in many industrial, aerospace and military fields. On the other hand, the interest in the use of shrink-fitted assemblies is increasing for designing composite tubes, high-pressure vessels, rectors and tanks. Although extensive researches exist on thick-walled cylindrical shells, not many researches have been done on shrink-fitted th...
متن کاملEstimation of kinematic source parameters and frequency independent shear wave quality factor around Bushehr
In this paper, the shear wave quality factor and source parameters in the near field are estimated by analyzing the acceleration data in Zagros region. Accelerograms recorded by Building and Houses Research Center strong ground motion network have been used. The data have been considered with the magnitude of 4.7 to 6.3 collected from 1999 to 2014. In this approach, the theoretical S-wave displ...
متن کامل