论文标题
基于角落的隐式补丁
Corner-based implicit patches
论文作者
论文摘要
多面表面通常由侧插剂（也称为丝带）定义，即表面必须以规定的光滑度与丝带连接。 i-patch是一个能够插值任意数量的丝带的隐式表面的家族，可用于设计和近似。在描述缎带的参数表面的情况下，虽然是一个良好的问题，但定义隐式缎带是一个不同的任务。本文将介绍Corner I-Patches，这是一种新表示形式，描述了基于角插剂的隐式表面。这些可以用更简单的表面定义，而补丁的形状将取决于少数标量参数。补丁之间的连续性将通过这些参数的约束来强制执行。角i点具有几种有利的属性，例如在音量渲染或近似中可以利用这些属性。
Multi-sided surfaces are often defined by side interpolants (also called ribbons), i.e. the surface has to connect to the ribbons with a prescribed degree of smoothness. The I-patch is such a family of implicit surfaces capable of interpolating an arbitrary number of ribbons and can be used in design and approximation. While in the case of parametric surfaces describing ribbons is a well-discussed problem, defining implicit ribbons is a different task. This paper will introduce corner I-patches, a new representation that describes implicit surfaces based on corner interpolants. Those may be defined with much simpler surfaces, while the shape of the patch will depend on a handful of scalar parameters. Continuity between patches will be enforced via constraints on these parameters. Corner I-patches have several favorable properties that can be exploited for example in volume rendering or approximation.
