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Quantification of Strain in a Porcine Model of Skin Expansion Using Multi-View Stereo and Isogeometric Kinematics

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Affine arithmetic-based B-spline surface intersection with GPU acceleration.

Hongwei Lin¹, Yang Qin¹, Hongwei Liao¹

¹Zhejiang University, Hangzhou.

IEEE Transactions on Visualization and Computer Graphics

|December 21, 2013

Summary

This summary is machine-generated.

This study enhances affine arithmetic for robust B-spline surface intersection in geometric design. It accelerates computation using GPUs and refines intersection points for improved accuracy and efficiency.

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Area of Science:

Computer-Aided Design
Geometric Modeling
Numerical Analysis

Background:

B-spline surface intersection is crucial for geometric design software.
Affine arithmetic offers robustness for intersection calculations, handling singular cases.
Classical affine arithmetic is computationally expensive and limited to globally supported polynomials.

Purpose of the Study:

To extend affine arithmetic for B-spline basis functions.
To accelerate affine arithmetic-based surface intersection using GPUs.
To develop efficient methods for refining intersection regions and improving accuracy.

Main Methods:

Extended affine arithmetic to handle recursively and locally defined B-spline basis functions.
Implemented a GPU acceleration for the affine arithmetic-based surface intersection algorithm.
Developed techniques for thinning intersection regions and calculating accurate intersection points.

Main Results:

Demonstrated robustness and efficiency of the extended affine arithmetic method.
Achieved significant acceleration through GPU implementation.
Successfully thinned intersection regions and improved accuracy of intersection points.

Conclusions:

The proposed method provides a robust and efficient solution for B-spline surface intersection.
GPU acceleration makes the affine arithmetic approach practical for geometric design.
The refined intersection point calculation enhances the overall utility of the algorithm.