3D scan conversion of CSG models into distance volumes

D. Breen, S. Mauch, Ross T. Whitaker
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引用次数: 129

Abstract

A distance volume is a volume dataset where the value stored at each voxel is the shortest distance to the surface of the object being represented by the volume. Distance volumes are a useful representation in a number of computer graphics applications. We present a technique for generating a distance volume with sub-voxel accuracy from one type of geometric model, a constructive solid geometry (CSG) model consisting of superellipsoid primitives. The distance volume is generated in a two step process. The first step calculates the shortest distance to the CSG model at a set of points within a narrow band around the evaluated surface. Additionally, a second set of points, labeled the zero set, which lies on the CSG model's surface are computed. A point in the zero set is associated with each point in the narrow band. Once the narrow band and zero set are calculated, a fast marching method is employed to propagate the shortest distance and closest point information out to the remaining voxels in the volume. Our technique has been used to scan convert a number of CSG models, producing distance volumes which have been utilized in a variety of computer graphics applications, e.g. CSG surface evaluation, offset surface generation, and 3D model morphing.
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CSG模型到距离体的三维扫描转换
距离体是一个体数据集,其中存储在每个体素上的值是到该体所表示的对象表面的最短距离。距离体积在许多计算机图形应用中是一种有用的表示。我们提出了一种从一种几何模型生成亚体素精度的距离体的技术,一种由超椭球基元组成的构造立体几何(CSG)模型。生成距离卷的过程分为两步。第一步计算在评估表面周围窄带内的一组点到CSG模型的最短距离。此外,计算位于CSG模型表面的第二组点,标记为零集。零集中的一个点与窄带中的每个点相关联。一旦计算出窄带和零集,采用快速行进方法将最短距离和最近点信息传播到体素中剩余的体素。我们的技术已被用于扫描转换许多CSG模型,产生距离体,这些距离体已用于各种计算机图形应用,例如CSG表面评估,偏移表面生成和3D模型变形。
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