A B-spline-based approach to heterogeneous objects design and analysis

2007 ◽  
Vol 39 (2) ◽  
pp. 95-111 ◽  
Author(s):  
Pinghai Yang ◽  
Xiaoping Qian
Keyword(s):  
B Spline ◽  
Heterogeneous Objects

Physics-Based Modeling for Heterogeneous Objects

2003 ◽  
Vol 125 (3) ◽  
pp. 416-427 ◽  
Author(s):  
Xiaoping Qian ◽  
Debasish Dutta
Keyword(s):  
Material Properties ◽  
Degrees Of Freedom ◽  
Critical Issue ◽  
Diffusion Problem ◽  
Material Distribution ◽  
B Spline ◽  
Material Heterogeneity ◽  
Model Object ◽  
Heterogeneous Objects ◽  
Spline Representation

Heterogeneous objects are composed of different constituent materials. In these objects, material properties from different constituent materials are synthesized into one part. Therefore, heterogeneous objects can offer new material properties and functionalities. The task of modeling material heterogeneity (composition variation) is a critical issue in the design and fabrication of such heterogeneous objects. Existing methods cannot efficiently model the material heterogeneity due to the lack of an effective mechanism to control the large number of degrees of freedom for the specification of heterogeneous objects. In this research, we provide a new approach for designing heterogeneous objects. The idea is that designers indirectly control the material distribution through the boundary conditions of a virtual diffusion problem in the solid, rather than directly in the native CAD (B-spline) representation for the distribution. We show how the diffusion problem can be solved using the B-spline shape function, with the results mapping directly to a volumetric B-Spline representation of the material distribution. We also extend this method to material property manipulation and time dependent heterogeneous object modeling. Implementation and examples, such as a turbine blade design and prosthesis design, are also presented. They demonstrate that the physics based B-spline modeling method is a convenient, intuitive, and efficient way to model object heterogeneity.

Physics Based B-Spline Heterogeneous Object Modeling

2001 ◽  
Author(s):  
Xiaoping Qian ◽  
Debasish Dutta
Keyword(s):  
Diffusion Process ◽  
Material Properties ◽  
Degrees Of Freedom ◽  
Heterogeneous Material ◽  
Critical Issue ◽  
Material Composition ◽  
B Spline ◽  
Material Heterogeneity ◽  
Heterogeneous Objects ◽  
Modeling Material

Abstract The task of modeling material heterogeneity (composition variation) is a critical issue in the design and fabrication of heterogeneous objects. Existing methods cannot efficiently model the material heterogeneity, due to the formidable size of the degrees of freedom for the specification of heterogeneous objects. In this research, we provide an intuitive way to model the object heterogeneity by using only a few parameters. These parameters carry physical meanings, such as diffusion coefficients in the diffusion process. We use a B-spline representation to model heterogeneous objects and material properties. We use diffusion equations to generate heterogeneous material composition profile. We then use finite element techniques to solve the material composition equations for the diffusion process. Finally we extend this method to the direct manipulation of material properties in heterogeneous objects.

Subpixel Accurate Calibration of Line-Scan Multi-Spectral Images Using a Polynomial or B-Spline based Registration Model

2017 ◽  
Vol 61 (3) ◽  
pp. 305031-3050311 ◽  
Author(s):  
Timo Eckhard ◽  
Jia Eckhard ◽  
Eva M. Valero ◽  
Javier Hernández-Andrés
Keyword(s):  
B Spline ◽  
Line Scan

DEFORMATION OF B-SPLINE BASED PLASTICINE MATERIAL MODEL IN VIRTUAL REALITY ENVIRONMENT

2017 ◽  
Vol 5 (3) ◽  
pp. 15
Author(s):  
GANDOTRA SANDEEP ◽  
Pungotra Harish ◽  
Moudgil Prince Kumar ◽  
◽  
◽  
...  
Keyword(s):  
Virtual Reality ◽  
Material Model ◽  
Virtual Reality Environment ◽  
B Spline

Extended Cubic Uniform B-spline and α-B-spline

2009 ◽  
Vol 34 (8) ◽  
pp. 980-983 ◽  
Author(s):  
Gang XU
Keyword(s):  
B Spline

Corner detection using multi-scale representation of contour orientation rate based on B-spline

2009 ◽  
Vol 29 (3) ◽  
pp. 725-728
Author(s):  
Ming-jian HONG ◽  
Xiao-hong ZHANG ◽  
Dan YANG
Keyword(s):  
Corner Detection ◽  
B Spline ◽  
Multi Scale

Construction of B-spline Surfaces Interpolating Curvature and Feature Curves

2018 ◽  
Vol 30 (12) ◽  
pp. 2193
Author(s):  
Fei Wang ◽  
Falai Chen ◽  
Weihua Tong
Keyword(s):  
B Spline ◽  
Spline Surfaces
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