论文标题
Riemannian指标的设计和可视化
Design and visualization of Riemannian metrics
论文作者
论文摘要
局部和全球照明最近在Riemannian歧管中定义了，以可视化经典的非欧几里得空间。这项工作着重于$ \ mathbb {r}^3 $中的Riemannian公制构建，以探索诸如翘曲，幻影和变形等特殊效果。我们研究了使用功能和差异图的图形来产生这种影响的可能性。为此，提供了他们的Riemannian指标和地球化学推导，以及积累此类指标的方式。我们在“实时”中可视化所得的riemannian歧管，使用在NVIDIA RTX GPU顶部实现的射线跟踪。
Local and global illumination were recently defined in Riemannian manifolds to visualize classical Non-Euclidean spaces. This work focuses on Riemannian metric construction in $\mathbb{R}^3$ to explore special effects like warping, mirages, and deformations. We investigate the possibility of using graphs of functions and diffeomorphism to produce such effects. For these, their Riemannian metrics and geodesics derivations are provided, and ways of accumulating such metrics. We visualize, in "real-time", the resulting Riemannian manifolds using a ray tracing implemented on top of Nvidia RTX GPUs.
