Blending and filleting are well established operations in solid modeling and computer-aided geometric design. The creation of a transition surface which smoothly connects the boundary surfaces of two (or more) objects has been extensively investigated. In this work, we introduce several algorithms for the construction of, possibly heterogeneous, trivariate fillets, that support smooth filleting operations between pairs of, possibly heterogeneous, input trivariates. Several construction methods are introduced that employ functional composition algorithms as well as introduce a half Volumetric Boolean sum operation. A volumetric fillet, consisting of one or more tensor product trivariate(s), is fitted to the boundary surfaces of the input. The result smoothly blends between the two inputs, both geometrically and material-wise (properties of arbitrary dimension). The application of encoding heterogeneous material information into the constructed fillet is discussed and examples of all proposed algorithms are presented.

混合和圆角是实体建模和计算机辅助几何设计中公认的操作。已经广泛研究了平滑连接两个（或多个）对象边界表面的过渡表面的创建。在这项工作中，我们介绍了几种可能用于异构的三变量圆角的算法，这些算法支持成对的可能在异构的输入三变量对之间的平滑去角操作。介绍了几种采用功能合成算法的构造方法，以及半容积布尔和手术。由一个或多个张量积三变量组成的体积圆角拟合到输入的边界表面。结果在几何和材质方面（任意尺寸的属性）在两个输入之间平滑地融合。讨论了将异构材料信息编码到构造的圆角中的应用，并给出了所有提出的算法的示例。