论文标题
Papaya2：2d不可约的Minkowski张量计算
papaya2: 2D Irreducible Minkowski Tensor computation
论文作者
论文摘要
科学和技术领域中的一个共同挑战是对几何和形状的定量描述，例如在显微镜图像或天文观测数据的分析中。通常，希望超越标量形状指标，例如孔隙度和表面与体积比，因为样品是各向异性的，或者是因为电导或弹性等方向依赖性量。 Minkowski Tensors是一个系统的多功能和强大的高阶形状描述符的系统家族，可实现任意顺序表征的形状表征，并为方向依赖性属性的系统结构函数函数关系提供了途径。 Papaya2是一种软件，可以通过库接口计算2D高阶指标，支持Minkowski张量和插值行进正方形。还提供了MATLAB，JavaScript和Python的扩展。虽然惯性张量是通过许多工具计算的，但我们不知道其他开源软件可在2D中提供更高的形状表征。
A common challenge in scientific and technical domains is the quantitative description of geometries and shapes, e.g. in the analysis of microscope imagery or astronomical observation data. Frequently, it is desirable to go beyond scalar shape metrics such as porosity and surface to volume ratios because the samples are anisotropic or because direction-dependent quantities such as conductances or elasticity are of interest. Minkowski Tensors are a systematic family of versatile and robust higher-order shape descriptors that allow for shape characterization of arbitrary order and promise a path to systematic structure-function relationships for direction-dependent properties. Papaya2 is a software to calculate 2D higher-order shape metrics with a library interface, support for Irreducible Minkowski Tensors and interpolated marching squares. Extensions to Matlab, JavaScript and Python are provided as well. While the tensor of inertia is computed by many tools, we are not aware of other open-source software which provides higher-rank shape characterization in 2D.
