W1 intro

Week 1 Introduction to Modeling

Meshes

Mesh

Mesh

Meshes

Parametric Curves

• In mathematics, a parametric equation of a curve is a representation of this curve through equations expressing the coordinates of the points of the curve as functions of a variable called a parameter.

• a curve is, generally speaking, an object similar to a line but which is not required to be straight

Parametric Function

Parametric equations are convenient for describing curves in higher-dimensional spaces. For example:

X = a \cos(t)

Y = a \sin(t)

Z = bt

describes a three-dimensional curve, the helix, which has a radius of a and rises by 2πb units per turns

Surfaces

Mesh to Surface

Mesh to Surface

Mesh to Surface