Assignment 3 - 3D Transformations

Overview

Project Requirements

• Multiple Objects:  Create a scene with at least two 3D objects, drawn in wireframe. One of these objects must be a cube with coordinates (+-1, +-1, +-1); other objects are your choice. 
• Transforms:  All transforms should be preformed on individual objects without changing the rest of the objects in the scene. Every transformation matrix should be assembled by you (i.e., do not use GL/GLUT to create matrices, or transform any object). There should be an option to print out the current transformation matrix being used. The transformations should be composited such that more than one transformation can be applied to a single object.

• Rotation.  Rotate around the center of a selected object. Also include an option to rotate the selected object around a specified point in the scene.
• Scale.  Scale a selected object by a specified factor. The user interface should have options for a uniform scale as well as scales along the x, y, and z axes.
• Translation.  Allow the selected object to be translated along the x, y, and z axes.
• Shear.   Shear the selected object vertically or horizontally by a specified factor. The user interface should have options for horizontal or veritcal shear, as well as modifying the shear factor.
• Reflection.  Reflect the selected object along a specified coordinate axis. Reflection along an arbitraty axis is not required, but may be implemented for extra credit.

• Toggle between orthographic and perspective projection. The perspective projection should assume a 90 degree field of view in both directions. All objects will be viewed using the same projection.
• Clipping Planes:  Add top, bottom, left, right, near and far clipping planes. The planes should orient according to type of viewing projection. Thus, for orthographic projection, the planes form a rectangle, while in perspective they form a truncated pyramid. The user should be able to move the clipping planes.
• Draw the cooridnate axes.
• User Interface.  The User Interface should provide nice ways to perform the following:

  • Object selection
  • Specify angle of rotation
  • Specify rotation about center of object or specific point (allow user to input the point)
  • Specify uniform scale factor and scale factors along each axis
  • Specify translation factors along each axis
  • Print out the transformation matrix.  This can be just the matrix used to get the object from its current position to its new position, or the combination of matrices used to get the object from its starting position to the current position, but please document how you choose to do this.
  • Reset objects to their original size, position and orientation.  This can be a global or local operation (reset individual objects or all of them).

• Documentation:  Briefly explain what your program does and how to operate it. In addition, describe all data structures, major functions, user interface and the program's flow of cntrol. Also document any known bugs and any areas of the assignment you had problems with.

Resources