标题： 基于GPU加速的区间算术求解立体漂移室的阿波罗尼奥斯问题 显示英文标题

标题： GPU-accelerated Interval Arithmetic to solve the Apollonius Problem applied to a Stereo Drift Chamber

摘要： 我们提出了一种新的方程组，该方程组识别出当带电粒子通过此探测器时，由完整立体漂移室探测器产生的所有漂移距离点的螺旋线。 该方程组是使用阿波罗尼奥斯问题作为指导而获得的，这使得它具有非常简单的形式和清晰的物理可解释性，正如完整轴向漂移室探测器的情况一样。 所提出的方法是使用从蒙特卡洛生成的螺旋轨迹轨道构建的漂移距离点进行评估的。 该方程组是使用基于区间算术的鲁棒加速GPU蛮力算法求解的。 所有代码都是使用Julia编程语言编写的。 显示英文摘要

摘要： We propose a new system of equations which identifies the helix common to all drift distance hits produced by a full stereo drift chamber detector when a charged particle passes through this detector. The equation system is obtained using the Apollonius' problem as guideline which gives it a very simple form and a clear physics interpretability as the case of full axial drift chamber detector. The proposed method is evaluated using drift distance hits constructed from Monte Carlo-generated helix trajectory tracks. The equation system is solved using a robust accelerated GPU brute-force algorithm based on interval arithmetic. All code is written using the Julia programming language.