Topology and mechanics with computer graphics

Quaternions: From Classical Mechanics to Computer Graphics, and Beyond

The theory of quaternions was introduced in the mid nineteenth century, and it found many applications in classical mechanics, quantum mechanics, and the theory of relativity. Quaternions were also later used in aerospace applications and flight simulators, particularly when inertial attitude referencing and related control schemes where employed. However, it is only in the recent past that gra...

Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics

Pyramid-based Computer Graphics the Pyramid Representation and Computer Graphics

Pyramid-based graphics techniques can provide realistic computer graphics on small systems without the complexities of physics simulations. Human beings have an intuitive feel for graphics. Graphics problems such as blending two images smoothly, interpolating to fill in missing image data, or creating realistic looking images are routinely solved by artists using traditional media. It i s much ...

Decision making with computer graphics

Computer-driven displays have long been thought to help decision making. But the justification for using these devices in decision-making has been long on intuition and short on quantitative analysis. To see if this intuition was right, we conducted an experiment. Eighteen interested and experienced decision-makers in the inventory control field met for twenty class hours of instruction in adva...

Teaching Computer Graphics with Spreadsheets

Spreadsheets are a great way to introduce computer graphics concepts to computer science students. Through direct manipulation of numbers, students develop a more concrete understanding of the data they compute from the formulas they derive and use. This paper presents some experiences using spreadsheets for in-class demonstrations and homework assignments.