A surface fitting method for three dimensional scattered data

1990 ◽  
Vol 29 (3) ◽  
pp. 633-645 ◽  
Author(s):  
Constantinos A. Balaras ◽  
Sheldon M. Jeter
Keyword(s):  
Three Dimensional ◽  
Scattered Data ◽  
Surface Fitting ◽  
Fitting Method

A B-Spline Least-Squares Surface-Fitting Method for Articular Surfaces of Diarthrodial Joints

1993 ◽  
Vol 115 (4A) ◽  
pp. 366-373 ◽  
Author(s):  
G. A. Ateshian
Keyword(s):  
Least Squares ◽  
Articular Surface ◽  
Three Dimensional ◽  
Surface Fitting ◽  
B Spline ◽  
Spline Surface ◽  
Articular Surfaces ◽  
Diarthrodial Joint ◽  
Surface Data ◽  
Fitting Method

The B-spline least-squares surface-fitting method is employed to create geometric models of diarthrodial joint articular surfaces. This method provides a smooth higher-order surface approximation from experimental three-dimensional surface data that have been obtained with any suitable measurement technique. Akima’s method for surface interpolation is used to provide complete support to the B-spline surface. The surface-fitting method is successfully tested on a known analytical surface, and is applied to the human distal femur. Applications to other articular surfaces are also shown. Results show that this method is precise, highly flexible, and can be successfully applied to a large variety of articular surface shapes.

scholarly journals Optimization Algorithm of Effective Stress Coefficient for Permeability

Energies ◽  
2021 ◽  
Vol 14 (24) ◽  
pp. 8345
Author(s):  
Xiaolong Zhang ◽  
Jianjun Liu ◽  
Jiecheng Song
Keyword(s):  
Effective Stress ◽  
Oil And Gas ◽  
Three Dimensional ◽  
Surface Fitting ◽  
Stress Sensitivity ◽  
Continuity Hypothesis ◽  
Statistical Parameters ◽  
3D Surface ◽  
Fitting Method ◽  
Stress Coefficient

The effective stress coefficient for permeability is a significant index for characterizing the variation in permeability with effective stress. The realization of its accuracy is essential for studying the stress sensitivity of oil and gas reservoirs. The determination of the effective stress coefficient for permeability can be mainly evaluated using the cross-plotting or response surface method. Both methods preprocess experimental data and preset a specific function relation, resulting in deviation in the calculation results. To improve the calculation accuracy of the effective stress coefficient for permeability, a 3D surface fitting calculation method was proposed according to the linear effective stress law and continuity hypothesis. The statistical parameters of the aforementioned three methods were compared, and the results showed that the three-dimensional (3D) surface fitting method had the advantages of a high correlation coefficient, low root mean square error, and low residual error. The principal of using the 3D surface fitting method to calculate the effective stress coefficient of permeability was to evaluate the influence of two independent variables on a dependent variable by means of a 3D nonlinear regression. Therefore, the method could be applied to studying the relationship between other physical properties and effective stress.

scholarly journals Three-Dimensional Reconstructions of Coronal Wave Surfaces Using a New Mask-Fitting Method

Solar Physics ◽  
2020 ◽  
Vol 295 (10) ◽  
Author(s):  
Li Feng ◽  
Lei Lu ◽  
Bernd Inhester ◽  
Joseph Plowman ◽  
Beili Ying ◽  
...  
Keyword(s):  
Three Dimensional ◽  
Fitting Method ◽  
Wave Surfaces ◽  
Coronal Wave

Scattered data fitting with simplex splines in two and three dimensional spaces

1997 ◽  
Vol 13 (7) ◽  
pp. 295-315 ◽  
Author(s):  
Jingfang Zhou ◽  
Nicholas M. Patrikalakis ◽  
Seamus T. Tuohy ◽  
Xiuzi Ye
Keyword(s):  
Three Dimensional ◽  
Data Fitting ◽  
Scattered Data ◽  
Scattered Data Fitting ◽  
Simplex Splines

Fitting Manifold Surfaces to Three-Dimensional Point Clouds

2001 ◽  
Vol 124 (1) ◽  
pp. 136-140 ◽  
Author(s):  
Cindy M. Grimm ◽  
Joseph J. Crisco ◽  
David H. Laidlaw
Keyword(s):  
Medical Imaging ◽  
Three Dimensional ◽  
Point Clouds ◽  
Scattered Data ◽  
Anatomical Structure ◽  
Ct Scans ◽  
Surface Model ◽  
Parametric Surfaces ◽  
Arbitrary Topology ◽  
Small Bones

We present a technique for fitting a smooth, locally parameterized surface model (called the manifold surface model) to unevenly scattered data describing an anatomical structure. These data are acquired from medical imaging modalities such as CT scans or MRI. The manifold surface is useful for problems which require analyzable or parametric surfaces fitted to data acquired from surfaces of arbitrary topology (e.g., entire bones). This surface modeling work is part of a larger project to model and analyze skeletal joints, in particular the complex of small bones within the wrist and hand. To demonstrate the suitability of this model we fit to several different bones in the hand, and to the same bone from multiple people.

Estimation and Display of Triangular Mesh Curvature in Reverse Engineering

2010 ◽  
Vol 136 ◽  
pp. 95-102
Author(s):  
Hui Cun Shen ◽  
J.J. Nie ◽  
W.S. Zong ◽  
J. Wang ◽  
B.G. Yang
Keyword(s):  
Reverse Engineering ◽  
Surface Fitting ◽  
Triangular Mesh ◽  
Surface Curvature ◽  
Estimation Methods ◽  
Quadric Surface ◽  
Fitting Method ◽  
Curvature Estimation ◽  
Curvature Group ◽  
Paraboloid Surface

The estimation of triangular mesh curvature is implemented by establishing local quadric surface at vertexes of mesh. Deduction course of quadric surface curvature calculation is presented. Errors and complexity of two curvature estimation methods, which are the ecumenical quadric surface fitting method and the quadric paraboloid surface fitting method respectively, are compared. Technique for curvature group display is put forward. This technique can display features of mesh distinctly, even though the curvature values of mesh distribute non-uniformly in their variety range.

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