CIS881: Reading List

• Chapter 1: Introduction - read it for general information
  • 1.1 What is Geometric Modeling?
    Defines some terms; read it for general info.
  • 1.2 History
    Kind of interesting. Good to know the difference between wireframe, polygon modeling, and solid modeling.
  • 1.3 The Mathematics
    reviews basic math; you're in trouble if this material in not familiar to you.
  • 1.4 Conventions and Notation
    goes over basic notation for the book
• Chapter 2: Curves - Very important for general introduction to curves
  • 2.1 Intrinsic Equations of Curves
    Discusses extrinsic v. intrinsic properties. Applies to surfaces as well as curves. This distinction is good to be aware of.
  • 2.2 Parametric Equations of Curves
    Covers explicit v. implicit equations; good to know the basic difference
  • 2.3 Parametric Equations
    Covers parametric equations - what we'll be dealing with almost exclusively in this course. Very important to understand about the parametric derivatives.
  • 2.4 Conic Curves
    Mildly interesting as a side note, but not very important to the class.
  • 2.5 Hermite, Bezier, and B-Spline Curves: An Overview
    Introduces the various parametric curves that we'll be looking at - good introduction to them but little meat; we'll come to that later.
  • 2.6 Points on a Curve
    Discusses points on a curve. Material you should read as an introduction to things we'll be dealing with later.
• Chapter 3: Hermite Curves
  • 3.1 Algebraic and Geometric Forms
    
  • 3.2 Hermite Basis Functions
    
  • 3.3 Matrix Form
    
  • 3.4 Tangent Vectors
    
  • 3.5 Truncating and Subdividing
    
  • 3.6 Three-Point Interpolation
    
  • 3.7 Four-Point Interpolation
    
  • 3.8 Conic Hermite Curves
    
  • 3.9 Composite Hermite Curves
    
• Chapter 4: Bezier Curves
  • 4.1
    
  • 4.2
    
  • 4.3
    
  • 4.4
    
  • 4.5
    
• Chapter 5: B-Spline Curves
  • 5.1
    
  • 5.2
    
  • 5.3
    
  • 5.4
    
  • 5.5
    
  • 5.6
    
  • 5.7
    
  • 5.8
    
  • 5.9
    
• Chapter 6: Surfaces
• 6.1
  
• 6.2
  
• 6.3
  
• 6.4
  
• 6.5
  
• 6.6
  
• 6.7