CS 284: CAGD 
Lecture #8 -- Wed 9/23, 2009.

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Rockwood:  pp 94-117 (B-splines)

Warm-up: Comparisons of Splines

Topic:  B-Splines (cont.)

Key Properties of B-Splines

Vertex Multiplicities (different from Knot Multiplicities, see below)

Non-uniform B-Splines

Knot Multiplicities (an extreme case of non-uniform knot spacings!)

B-Spline Derivatives

Next Reading Assignments:

 Study Rockwood Chapter 8: pp 133-151: Surfaces  ( -- we will talk about rational curves later)

Look at the Paper Selection List -- Pick your top five candidates --


DUE:  Mon. 9/28/2006, 10:40am.

New Homework Assignments:

Construct a Parameterized Goblet

A goblet is:
    1.  A drinking vessel, such as a glass, that has a stem and base.
    2. Archaic A drinking bowl without handles.
Your task is to design a curved thin (metal) surface of finite thickness that could serve as a goblet.
There are many different ways in which such a surface could be defined: Some possible approaches to composing a Bell shape also apply to forming a goblet.
For this assignment you should concentrate on using a sweep in some form and using some spline for either the cross secition or for the guide curve, or for both.
There should be from 3 to 5 parameters with wich you can change the shape of the goblet interactively without loosing continuity in the overall surface.
Let yourself be inspired by this collection of images that you get when you do a Google image search for "goblet", -- but keep your shape simple!
You may start from this SLIDE file: BellShape.slf

Create a SLIDE file with all parameters set to their preferred values.
Capture your design pictorially using the screen saver.

DUE:  Wed. 9/30/2006, 10:40am.

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