Applying Rounding‐Up Integral Linear Interpolation to the Scan‐Conversion of Filled Polygons

Abstract

This paper is motivated by a special linear interpolation problem encountered in scan‐line algorithms for scan‐conversion of filled polygons. rounding‐up integral linear interpolation is defined and its efficient computation is discussed. The paper then incorporates rounding‐up integral linear interpolation into a scan‐line algorithm for filled polygons, and it discusses the implementation of the algorithm. This approach has the advantage of only requiring integer arithmetic in the calculations. Furthermore, the approach provides a unified treatment for calculating span extrema for left and right edges of the polygon that guarantees the mutual exclusiveness of the ownership of boundary pixels of two filled polygons sharing an edge.

Voxelization and fabrication of freeform models

“…While there is an abundance of two-dimensional (2D) scan Áconversion algorithms (Hersch 1986, Lin and Pan 1992, Yao and Rokne 1997, voxelization is a 3D scan Á conversion process. The voxelization algorithms are used to build geometric models in voxel space which are independent of view directions (Lin and Seah 1998).…”