Three-dimensional range data interpolation using B-spline surface fitting

2000 ◽  
Author(s):  
Songtao Li ◽  
Dongming Zhao
Keyword(s):  
Three Dimensional ◽  
Surface Fitting ◽  
Range Data ◽  
Data Interpolation ◽  
B Spline ◽  
Spline Surface ◽  
Dimensional Range

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.

Image interpolation used in three-dimensional range data compression

2016 ◽  
Vol 55 (15) ◽  
pp. 4123
Author(s):  
Shaoze Zhang ◽  
Jianqi Zhang ◽  
Xi Huang ◽  
Delian Liu
Keyword(s):  
Data Compression ◽  
Three Dimensional ◽  
Image Interpolation ◽  
Range Data ◽  
Dimensional Range

B-spline surface fitting to random points with bounded boundary conditions

2007 ◽  
Vol 30 (4) ◽  
pp. 281
Author(s):  
Kuo Jen Chen ◽  
Yao Chen Tsai ◽  
Jiing Yih Lai ◽  
Wen Der Ueng
Keyword(s):  
Boundary Conditions ◽  
Surface Fitting ◽  
B Spline ◽  
Spline Surface

Reverse Engineering Physical Models Employing Wrap-Around B-Spline Surfaces and Quadrics

1996 ◽  
Vol 210 (2) ◽  
pp. 147-157 ◽  
Author(s):  
D J Weir ◽  
M J Milroy ◽  
C Bradley ◽  
G W Vickers
Keyword(s):  
Reverse Engineering ◽  
Computer Aided Design ◽  
Laser Scanning ◽  
Three Dimensional ◽  
Surface Fitting ◽  
Physical Models ◽  
Scanning System ◽  
Cad Model ◽  
Three Dimensional Model ◽  
B Spline

Reverse engineering involves digitizing a three-dimensional model or part, by means of a tactile or non-contact optical sensor, converting the data to a CAD (computer aided design) database description and manufacturing by CNC (computer numerical controlled) machines. This paper demonstrates an effective approach to the reverse engineering of physical models by employing a three-dimensional laser scanning system in conjunction with surface-fitting software developed by the authors. Accurate surface data are collected by the laser scanner and then input to the surface-fitting software. Surface entities such as B-spline and quadric functions are employed to build the CAD model. The CAD model is compatible with popular design and manufacturing software packages. A telephone receiver is used to illustrate the efficiency of the process.

Geometric calibration of lens using B-spline surface fitting

1998 ◽  
Vol 3 (4) ◽  
pp. 440-442
Author(s):  
Sun Xiao’an ◽  
Chen Shuzhen ◽  
Shen Qiang
Keyword(s):  
Surface Fitting ◽  
Geometric Calibration ◽  
B Spline ◽  
Spline Surface
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