CS 284: CAGD
Lecture #1 -- Mo 8/28, 2000.

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Preparation:

read Rockwood: pp 1-30.

Lecture Topics

Introduction to CAGD

  • What is CAGD ?
  • Motivation for COE Students
  • Issues Addressed in This Course
  • Course Overview
  • Method of Attack
  • Where does CS 284 fit in ?
  • The Key Problem of CAGD -- (experiment)

    Key Course Topics

  • Interpolation
  • Subdivision (more than in the past)
  • Splines (less than in the past)
    - - all on 1, 2, (and 3)-manifolds

    Course Goal

    How to make smooth curves and surfaces
    that fit certain constraints.

    Course Administration

  • Teaching Style
  • Reading Assignments
  • Thinking/Experimenting/Programming Assignments
  • Quizzes/Exams
  • Course Projects
  • Background Questionnaire

    Expected Math Foundations

    See Rockwood pp 9-19
  • Parametric Curves
  • Parametric Surfaces
  • Derivatives, Tangents, Normals
  • Linear Interpolation
  • Basis Vectors

    Some Possibly New Concepts

    See Rockwood pp 20-30
  • Hodograph
  • Turning Number of a (closed) Curve
  • Parametric Continuity
  • Geometric Continuity
  • Basis Functions

    New Homework Assignment:

    A Conceptual Task:
    Think about how you would model
    -- with the tools that you have already at your disposal --
    a completely smooth Genus-2 Object ( = Two-hole torus).

    DUE: WED 8/30/00, 9:10am.
    You don't actually have to build a CAD model for this shape,
    but think through all the steps that you would have to go through,
    and estimate how long it might take you.
    Bring your thoughts on how you would do this to class on Wednesday
    and be prepared to explain your approach in a few sentences.

    Next Reading Assignment:

    in Rockwood:
    skim: pp 1-19;
    review: pp 20-30;
    read in preparation for next time: pp 31-41.

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