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2004•Jisuanji fangzhenRequires access

Generalizing Midpoint Algorithm to 3D Straight-Line

Wang Run-yun

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Abstract

A 3D line segment can be defined with two endpoints, in which Δx≥Δy≥Δz0 , and then Midpoint 2D line algorithm is applied to the projections of line segment on xy and xz coordinate planes respectively, this results in the Midpoint algorithm for 3D straight-line. Case studies indicate that the performance of this algorithm is as perfect as 2D Midpoint algorithm.

About this research paper

What this paper is about

A 3D line segment can be defined with two endpoints, in which Δx≥Δy≥Δz0 , and then Midpoint 2D line algorithm is applied to the projections of line segment on xy and xz coordinate planes respectively, this results in the Midpoint algorithm for 3D straight-line. Case studies indicate that the performance of this algorithm is as perfect as 2D Midpoint algorithm.

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Available abstract

A 3D line segment can be defined with two endpoints, in which Δx≥Δy≥Δz0 , and then Midpoint 2D line algorithm is applied to the projections of line segment on xy and xz coordinate planes respectively, this results in the Midpoint algorithm for 3D straight-line. Case studies indicate that the performance of this algorithm is as perfect as 2D Midpoint algorithm.

Key concepts: Midpoint, Algorithm, Line (geometry), Midpoint method, Line segment, Geometry, Mathematics, Computer science

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