Algebraic 3D Reconstruction of Planetary Nebulae
Algebraic 3D Reconstruction of Planetary Nebulae
复制标题
行星状星云的代数 3D 重建
作者：
S. Wenger;J. Fernández;C. Morisset;M. Magnor
像行星状星云这样遥远的天体通常只能从一个角度观察。假设具有圆柱对称几何形状，仍然可以使用断层扫描方法创建这些对象的3D模型。我们有效地解决由此产生的代数方程的图形硬件。然后使用启发式方法校正与轴对称的小偏差，因为产生的3D模型通常不再明确定义。我们使用实时体绘制可视化模型。通过这种方法建立的实际行星状星云模型与从地球角度获得的观测数据相匹配，同时从其他没有实验数据的角度来看也是合理的。
Distant astrophysical objects like planetary nebulae can normally only be observed from a single point of view. Assuming a cylindrically symmetric geometry, one can nevertheless create 3D models of those objects using tomographic methods. We solve the resulting algebraic equations efficiently on graphics hardware. Small deviations from axial symmetry are then corrected using heuristic methods, because the arising 3D models are, in general, no longer unambiguously defined. We visualize the models using real-time volume rendering. Models for actual planetary nebulae created by this approach match the observational data acquired from the earth’s viewpoint, while also looking plausible from other viewpoints for which no experimental data is available.