Curves in Graphics and Curves in Mathematics

Curves in Computer Graphics

The only primitive geometric objects that computer graphics hardware typically can draw are points, lines and polygons. Usually there are special mechanisms to draw images, text characters, et cetera, but these are not commonly considered “geometric” since they are not usually transformed by geometric operations like rotation and perspective projection. Obviously it is important that graphics p...

Multiresolution Applications in Computer Graphics : Curves

Multiresolution Applications in Computer Graphics: Curves, Images, and Video

INEXTENSIBLE FLOWS OF CURVES IN LIE GROUPS

In this paper, we study inextensible ows in three dimensional Lie groups with a bi-invariant metric. The necessary and sucient conditions for inextensible curve ow are expressed as a partial dierential equation involving the curvatures. Also, we give some results for special cases of Lie groups.

Curves and surfaces for computer graphics

Application of Seed Equilibrium Moisture Curves in Agro Physics

The water relations play a fundamental role in seed comprehension of biology. In order to describe the process of drying and the effect on water activity, which controls biological change in storage, a sound knowledge of the relationship between equilibrium moisture content (EMC) and water activity/equilibrium relative humidity (ERH) is essential. The relationship between the total moisture con...