iNSIGHT Spatial Vision vs 3D Rotations and Quaternions

A process called Fourier analysis can be used to mathematically break down any image into a number of basic components. By manipulating these components and then reassembling them, a variety of visual effects can be achieved. This process demonstrates how our visual system analyzes images, and how different types of visual problems can affect our perception of shapes and edges. iNSIGHT is a curriculum supplement for experimental psychology, sensation and perception, vision science, and optometry lab classes. There are two different types of iNSIGHT apps: experiments and interactive demonstrations. Experiments are real psychophysical procedures (NOT simulations) that generate real data. Demonstrations illustrate a visual phenomenon and allow students to manipulate the effect. Each lab is complete with a quick-start guide, detailed instructions, background information, and one or more guided exercises. To see how iNSIGHT works, try the FREE iNSIGHT Color Mixing app. A printable PDF Student Guide that contains the exercises and other supporting materials, and a Teacher Guide are available at www.polyhedronlearning.com/see_apps_insight.html

3D Rotations and Quaternions is an interactive tool for users who work with 3D orientation math in graphics, roboticsor simulation. It provides precise computations, clean visualizations, and fast conversions between the standard rotation representations. Features include: • Conversion between Euler angles, axis–angle, quaternions, and rotation matrices • Interactive 3D visualization and rotation animation • Quaternion interpolation (LERP and SLERP) • Rotation of user-defined points by user-defined quaternions • Determination of a quaternion that rotates vector v into vector w • Composition of up to 10 sequential quaternion rotations • Quaternion generation from constant angular velocity and time • Reflection of a point across a plane Feedback and suggestions: graphmath@aol.com