A New Algorithm for Pyramidal Clipping of Line Segments in E3

TL;DR

This paper introduces a novel algorithm for efficiently clipping line segments against pyramids in three-dimensional space, avoiding unnecessary intersection calculations and outperforming existing methods in all tested cases.

Contribution

The paper presents a new, more efficient algorithm for pyramidal line clipping in E3 that simplifies computations and improves performance over traditional algorithms.

Findings

Algorithm avoids unnecessary intersection calculations.

Consistently better performance than Cohen-Sutherland, Liang-Barsky, and Cyrus-Beck algorithms.

Effective in all tested clipping cases.

Abstract

A new algorithm for clipping a line segment against a pyramid in E3 is presented. This algorithm avoids computation of intersection points which are not end-points of the output line segment. It also allows solving all cases more effectively. The performance of this algorithm is shown to be consistently better than existing algorithms, including the Cohen-Sutherland, Liang-Barsky and Cyrus-Beck algorithms.