Computer Science 112
The Art & Science of Computer Graphics

Fall 2015, The College of Saint Rose

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Agenda

• Announcements
• Exam 1 recap
• Lecture 15 assignment recap
• The Prism object
• Bézier curves
  • See also Bailey handout
• In-class Exercise 16-1 - (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, Friday, October 30.

Complete the Bezier 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

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