Nanyang Technological University CZ2003 - Computer Graphics and Visualization Lab Assignments
During five lab sessions, you will learn how to visualize curves, surfaces and solid shapes defined by mathematical formulas. Upon completion of these labs you will know: • How to define shapes by implicit, explicit and parametric analytic functions, and • How to make shape morphing from one parametrically defined surface to another.
You will use educational visualization software—function-based extension of Virtual Reality Modeling Language (VRML) and Extensible 3D. To avoid learning VRML/X3D and concentrate on visualization principles—mathematical definitions, coordinate domains and sampling resolutions—you will use the provided source code templates to only fill them in with mathematical formulae and visualization parameters. VRML and X3D are ISO standard file formats for describing interactive 3D objects and virtual worlds. They are designed to be used on the Internet, intranets, and local client systems. They are also intended to be universal interchange formats for integrated 3D graphics and multimedia. VRML and X3D are capable of representing static and animated dynamic 3D and multimedia objects with hyperlinks to other media such as text, sounds, movies, and images. VRML and X3D are following declarative programming style, i.e. it tells the computer what to do. It differs from the imperative programming style, like in C and in a popular graphics library OpenGL, which tell the computer how to do things.
This assignment illustrates Module 3 and it serves a purpose to teach you how to visualize curves defined by parametric functions. Ideally, this experiment has to follow the lecture on parametric curves.
This assignment mostly illustrates Module 3 and it serves a purpose to teach you how to visualize surfaces and solids defined by parametric functions. Ideally, this experiment has to follow the lecture on parametric surfaces and solids.
Assignment: This assignment illustrates Modules 3 and 4 and it serves a purpose to teach you how to visualize solids defined by implicit functions. Ideally, this experiment has to follow the lecture on Constructive Solid Geometry.
Assignment: This assignment illustrates Module 3 and Module 6 (Motions and Morphing) and it serves a purpose to teach you how, given two parametric formulas defining some surfaces, you can define an animated transformation (morphing) between these surfaces. Ideally, this experiment has to follow the lecture on Motions.
