- Exam 1
- Wednesday, Feb. 25
- Material since beginning of course, e.g., rays, intersections, transformations, homogeneous coordinates, related algorithms, etc.
- 3 - 5 short-answer questions
- Whole class period
- Open references (books, notes, computers for reference), closed person
- Math dept scholarship applications available
- See notice on dept home page, http://www.geneseo.edu/math/home
- Colloquium
- Dickerson, “Mathematics Majors’ Understandings of the Concept of Mathematical Definition”
- Monday, February 23, 4:00-5:00, Newton 201
- Extra credit for summaries
- Distorted spheres, cylinders, etc?
- Use transformations to produce distortions
- Planes
- Solve for t when z = 0 for intersection with XZ plane
- Canonical plane, use transformations to make instances
- Or solve general plane equation for t
- Don’t need canonical plane
- Solve for t when z = 0 for intersection with XZ plane
- Need multiple intersection functions
- Use function handles to store intersection function with rest
of object description
- Suppose you have a
squarefunction…function [ y ] = square( x ) y = x^2; end - You can make a handle to it and call it through the handle
>> square( 3 ) ans = 9 >> f = @square f = @square >> f(3) ans = 9 - Better, you can create functions and pass the handle to them
to call, and you can save the handle in a structure
function [ y ] = apply( f, x ) y = f(x); end>> apply( @square, 4 ) ans = 16 >> apply( @sin, pi ) ans = 1.2246e-16 >> c1 = struct( 'calculate', @square ); >> c2 = struct( 'calculate', @sin ); >> c1.calculate( 3 ) ans = 9 >> c2.calculate( 3 ) ans = 0.1411
- Suppose you have a
- Barycentric coordinates for triangles