Computer Science 112
The Art & Science of Computer Graphics

Spring 2016, The College of Saint Rose

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Agenda

• Announcements
• Studio/Lab 7: Surprise! due next Tuesday night
• The Prism object
• Bézier curves
  • See also Bailey handout
• In-class Exercise 16 - (5 lecture assignment points) due before the end of class.

  Using the "scaffolding" construction, show the points on the Bezier curve defined by the points A, B, C, and D as shown below, at times t=0.25, t=0.5, and t=0.75.

  t=0.25	t=0.5	t=0.75

  Show your construction to earn credit.

Lecture 16 Assignment

Due at the start of class, Wednesday, March 30.

Please submit answers to these questions either as a hard copy (typeset or handwritten are OK) or by email to terescoj AT strose.edu by the start of class. Please use a clear subject line when submitting by email (e.g., CSC 112 Lecture 16 Assignment, Mary Smith). We will discuss these questions at the start of class, so no late submissions are accepted.

Complete the Bézier curve lecture assignment handout.

Please submit as a hard copy at the start of class. We will discuss these questions at the start of class, so no late submissions are accepted.

Terminology

• Bézier curve
• cubic curves
• control points
• scaffolding

Examples

• On the Wiki: PrismDiamond, Downloadable file: PrismDiamond.py
• On the Wiki: PrismCube, Downloadable file: PrismCube.py
• On the Wiki: SimpleBezier, Downloadable file: SimpleBezier.py
• On the Wiki: Bell, Downloadable file: Bell.py

Links

• Wikipedia entry for Bézier curves
• A Java applet at Brown that can be useful for defining Bézier curves:

  http://www.cs.brown.edu/exploratories/freeSoftware/repository/edu/brown/cs/exploratories/applets/bezierSplines/bezier_splines_java_browser.html

• Some Java applets at Imperial College in London that help construct Bézier curves, including ones made of multiple segments:

  http://www.doc.ic.ac.uk/ dfg/AndysSplineTutorial/Beziers.html