| TOPIC | NOTES | ASSIGNMENTS |
|---|---|---|
| Overview |
Bézier curve
B-spline |
intro test:
points, vectors, maps
|
| Linear Interpolation |
barycentric coordinates
Aug23 bilinear Aug28 bary |
bi-linear +
quadratic
|
| de Casteljau's algorithm, Bezier curves |
Aug30 eval
Sep6 deriv
Sep9 deriv Sep11 integ Sep13 mult Sep15 deg_reduce |
Section(number)
3.8(4), 4.6(1,4), 5.9(1,2,3, P3) The pool area -136/35 = -3.885714286 Sep16 area Sep27_hints |
| B-spline curves | Sep23_projection (B-)splines Sep25_recurrence Oct1_Greville Oct3_interp_ |
B-spline basics
avi m4v
Knotty
ctd
mp4:
Knotty
ctd
|
| Differential Geometry of Curves | Oct9_Relu_arclength Oct11_Frenet Oct14_frame_Hermite |
Rotation Minimizing frames
MATLAB files
Frenet
RotMin Fram
|
| Geometric Continuity | Oct16_Gk |
|
| Rational curves | Oct21_rational review |
space curve
|
| Oct 28,30 Test in class (Mo, We) |
1 sheet of notes (double-sided is ok)
barycentric coords, BB-form (all properties) area, arclength, etc. splines, B-spline evaluation, geometric continuity, rational BB-form |
sample test
test 1
test B
|
| 2 variables | Oct23_2vars Nov4_multi Nov8_tensor |
total degree eval
paper
Kyle's
Code
|
| Differential Geometry of Surfaces | Nov13_fund_forms Nov15_Weingarten Shape interrogation |
|
|
Free-form surfaces
|
Nov18_subBasic
upsampling
Box splines Subdivision Surfaces |
spheroids
surface_project
useful:
evaluating bi-2
evaluating total degree 2
Q and A
grade breakdown |
