Advanced Graphics

Lecture 2 Index
...back to lecture 1
Part A: Conics, quadrics, and superquadrics
Part B: Generative models
Part C: Converting primitives to polygons
on to lecture 3...

2C) Converting primitives to polygons

A swept surface may be easily converted to polygons by converting the outline of the 2D cross section to a polygon, and converting the sweep path to connected set of line segments. Moving the polygon to each vertex of the set of line segments, and connecting vertices accordingly, will produced a polygon mesh which approximates the swept surface.

Exercises Show how to convert a cylinder into a polygon mesh. What changes do you have to make if the mesh may contain only triangles? Show how to convert a torus into a polygon mesh. [1998/7/12] Show how to convert the swept object from Lecture 2B Exercise 1 into polygons. What extra work would you need to do if you had to convert it into triangles? Show how to convert a sphere into a triangle mesh. How can you get the most even distributiuon of triangle vertices across the sphere?

Lecture 2 Index
...back to lecture 1
Part A: Conics, quadrics, and superquadrics
Part B: Generative models
Part C: Converting primitives to polygons
on to lecture 3...