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Todd (1984) showed that observers could discriminate the amount of curvature from the motion of texture elements in a 2D projection. Our recent research (VSS, 2007) has shown that observers are sensitive to both size and velocity information when judging trajectory of an object moving along a straight path in a 3D scene. This suggests that observers may use size and velocity information for judging trajectory in a more general manner. Experiment 1: Discriminating upward and downward curvature

The perception of path curvature: Effects of projected velocity and projected size