Geometric Interpretations of Linear Transformations and Its Applications in Computer Graphics and Robotics

Student: Praise Samuel Okori (Project, 2025)
Department of Mathematics
Cross Rivers University of Technology, Calabar, Cross Rivers State

Abstract

This study explores the geometric meanings of linear transformations and how they are used in computer graphics and robotics. It starts by examining the basic principles of linear transformations and emphasising their geometric interpretations. It then demonstrates the importance of these transformations in computer graphics, particularly in tasks like scaling, rotating, and translating objects. The research also shows how linear transformations are applied in robotics, where they are essential for robot navigation and manipulation. The study ends by discussing the potential future progress in these fields, which will be driven by the continuous advancements in linear transformations. This research provides a thorough understanding of the geometric aspects of linear transformations and their significant influence on computer graphics and robotics.

Keywords
transformations linear geometric computer graphics robotics interpretations research applications explores
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