论文标题
使用应用
Volumetric density-equalizing reference map with applications
论文作者
论文摘要
密度平衡的图是一种用于制图创建的技术，已广泛应用于数据可视化，但仅用于2D应用程序。在这项工作中，我们提出了一种新的方法，称为体积密度的参考图（VDER），用于计算体积域的密度平等图。给定在$ \ mathbb {r}^3 $中的体积域中的规定密度分布，提出的方法将连续变形域，并且根据密度分布而扩大或缩小不同的体积元素。借助提出的方法，可以通过3D对象的变形来可视化医学和社会学数据。该方法也可以应用于自适应重新构建和形状建模。此外，通过利用所提出方法的时间依赖性，可以轻松实现形成变形的应用。提出了实验结果，以证明该方法的有效性。
The density-equalizing map, a technique developed for cartogram creation, has been widely applied to data visualization but only for 2D applications. In this work, we propose a novel method called the volumetric density-equalizing reference map (VDERM) for computing density-equalizing map for volumetric domains. Given a prescribed density distribution in a volumetric domain in $\mathbb{R}^3$, the proposed method continuously deforms the domain, with different volume elements enlarged or shrunk according to the density distribution. With the aid of the proposed method, medical and sociological data can be visualized via deformations of 3D objects. The method can also be applied to adaptive remeshing and shape modeling. Furthermore, by exploiting the time-dependent nature of the proposed method, applications to shape morphing can be easily achieved. Experimental results are presented to demonstrate the effectiveness of the proposed method.
