Deriving Steering Time Models for Paths with Corners of Varying Curvature Based on Preview-Based Velocity Control

Abstract

Steering operations, such as menu navigation and drawing, constitute fundamental GUI interactions. The conventional Steering Law estimates movement times by accumulating the local width of the path, but it suffers from limited predictive accuracy for paths with varying curvature. In contrast, humans tend to adjust their speed by anticipating the path ahead (e.g., when driving). This study proposes a new Preview-based Model, which integrates geometric properties with visual constraints further along the path. Our experimental results show that our model achieved a higher adjusted R2 (0.983) on curve-included paths than existing models. Furthermore, a simplified formulation without additional parameter tuning also exhibited comparable accuracy (adjusted R2 = 0.972), confirming its effectiveness as a practical difficulty metric.