scholarly journals Fusion of 3D B-spline surface patches reconstructed from image sequences

2002 ◽  
Author(s):  
R. Mohr ◽  
Chang Sheng Zhao ◽  
G. Koscielny
Keyword(s):  
Image Sequences ◽  
B Spline ◽  
Surface Patches ◽  
Spline Surface

scholarly journals A GC2 Joining Procedure for B-Spline Patches in Reverse Engineering

1997 ◽  
Author(s):  
Tachung Yang ◽  
Cheng-Chung Wang
Keyword(s):  
Reverse Engineering ◽  
Coordinate Measuring Machine ◽  
Surface Patch ◽  
Geometric Continuity ◽  
Huge Amount ◽  
B Spline ◽  
Surface Patches ◽  
Spline Surface ◽  
Surface Models ◽  
Measuring Machine

Reconstruction of surface models is a vital part in reverse engineering. Because of the huge amount of data from Coordinate Measuring Machine (CMM), processes for division of data into groups, surface patch reconstruction, and patch joining are inevitable in the CAD systems tailored for reverse engineering applications. Existing techniques of surface patch joining have the disadvantages, such as computational complication or lack of desired geometric continuity. A GC2 joining technique for B-spline surface patches by utilising a Bezier patch joining technique was proposed in this paper. This method possesses the merits in which only the control vertices near the joining boundaries of patches are modified and no additional blending surfaces at the joints of patches are created.

Rational Polynomial Surface Intersections

1991 ◽  
Author(s):  
G. A. Kriezis ◽  
N. M. Patrikalakis
Keyword(s):  
Parameter Space ◽  
Numerical Techniques ◽  
B Spline ◽  
Partial Derivatives ◽  
Surface Patches ◽  
Spline Surface ◽  
Rational Polynomial ◽  
Convexity Properties ◽  
Surface Intersections ◽  
Polynomial Surface

Abstract This paper presents a new algorithm for the computation of the intersection of two rational B-spline surface patches. This algorithm is based on the computation of significant points of the intersection in the parameter space of one of the patches using direct numerical techniques; partitioning of the intersection domain at these points; tracing of the resulting intersection segments using subdivision and Newton or marching techniques; and verification of computation of all intersection branches using convexity properties of the two surfaces and their partial derivatives.

Wrap-around B-spline Surface Fitting to Digitized Data With Applications to Reverse Engineering

1997 ◽  
Vol 122 (2) ◽  
pp. 323-330 ◽  
Author(s):  
D. J. Weir ◽  
M. J. Milroy ◽  
C. Bradley ◽  
G. W. Vickers
Keyword(s):  
Reverse Engineering ◽  
Vision System ◽  
Three Dimensional ◽  
Data Sets ◽  
Sculptured Surfaces ◽  
Software Modeling ◽  
B Spline ◽  
Surface Patches ◽  
Spline Surface ◽  
Three Dimensional Vision

The design of products containing sculptured surfaces typically begins with the crafting of a clay or wood model. The physical model must be reverse engineered to create a CAD representation. Three dimensional computer vision systems are currently being employed to digitize models in the first step of reverse engineering. In this paper, a three dimensional vision system that permits multiple viewpoint digitization is described. Furthermore, a new approach to modeling the data sets generated employing wrap-around B-spline surface patches is presented. The laser digitization and software modeling of bicycle seat and telephone handset models are presented.[S1087-1357(00)70102-X]

G1 continuity of B-spline surface patches in reverse engineering

1995 ◽  
Vol 27 (6) ◽  
pp. 471-478 ◽  
Author(s):  
MJ Milroy ◽  
C Bradley ◽  
GW Vickers ◽  
DJ Weir
Keyword(s):  
Reverse Engineering ◽  
B Spline ◽  
Surface Patches ◽  
Spline Surface ◽  
G1 Continuity

Ship-hull geometry representation with B-spline surface patches

1992 ◽  
Vol 24 (4) ◽  
pp. 217-222 ◽  
Author(s):  
L. Bardis ◽  
M. Vafiadou
Keyword(s):  
Ship Hull ◽  
B Spline ◽  
Surface Patches ◽  
Spline Surface

scholarly journals Complex Uncertainty of Surface Data Modeling via the Type-2 Fuzzy B-Spline Model

Mathematics ◽  
2021 ◽  
Vol 9 (9) ◽  
pp. 1054
Author(s):  
Rozaimi Zakaria ◽  
Abd. Fatah Wahab ◽  
Isfarita Ismail ◽  
Mohammad Izat Emir Zulkifly
Keyword(s):  
Complex Surface ◽  
Complex Data ◽  
Fuzzy Data ◽  
Control Points ◽  
B Spline ◽  
Spline Surface ◽  
Data Control ◽  
Surface Data ◽  
Model Complex

This paper discusses the construction of a type-2 fuzzy B-spline model to model complex uncertainty of surface data. To construct this model, the type-2 fuzzy set theory, which includes type-2 fuzzy number concepts and type-2 fuzzy relation, is used to define the complex uncertainty of surface data in type-2 fuzzy data/control points. These type-2 fuzzy data/control points are blended with the B-spline surface function to produce the proposed model, which can be visualized and analyzed further. Various processes, namely fuzzification, type-reduction and defuzzification are defined to achieve a crisp, type-2 fuzzy B-spline surface, representing uncertainty complex surface data. This paper ends with a numerical example of terrain modeling, which shows the effectiveness of handling the uncertainty complex data.

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