Topics for Exam_01
Topics for Exam_01
 
  • Coordinate systems
  • Representation of Points and Vectors in 2d and 3d coordinates
  • Representation of points and vectors in 2d and 3d homogenous coordinates
  • Transformations
  • 2d and 3d translations
  • 2d and 3d rotations
  • 2d and 3d scale
  • 2d and 3d shear
  • Composite transforms
  • Window and Viewport
  • Mapping from window to viewport
  • Equation of lines and planes
  • Equation of planes
  • Normal to planes
  • Finding equation of planes given 3 points
  • Finding equation of a plane given a point on the plane and plane normal
  • Parametric equations of lines
  • Finding distance of a point from a plane
  • Finding intersection of two planes
  • Finding intersection of a line and a plane
  • Composite Transformation Applications
  • Sequence of matrices to rotate objects around a given line segment
  • Sequence of matrices to align a vector with an axis
  • Sequence of matrices to rotate objects around a line or an axis in 3d by theta degrees
  • Sequence of matrices to align one coordinate system with the world coordinate system
  • Viewing in 3-dimensional space
  • Steps to perform parallel projections in 3d space
  • Clipping against parallel view volume.
  • Steps to perform perspective projections in 3d space
  • Clipping against perspective view volume.
 
Note:
Parametric curves and parametric curved surfaces WILL NOT be covered in this exam
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