Math for Computer Graphics and Computer Vision

From Math Images

(Difference between revisions)
Jump to: navigation, search
Line 7: Line 7:
The following is a list of mathematical topics used in computer graphics. The original list was provided by Drexel professor David Breen.
The following is a list of mathematical topics used in computer graphics. The original list was provided by Drexel professor David Breen.
-
:* Vectors and matrices
+
:* [[Vector |Vectors]] and [[Matrix |Matrices]]
:* Transformations
:* Transformations
 +
::*[[Transformation Matrix]]
 +
::*[[Change of Coordinate Transformations]]
:* [[Quaternion|Quaternions]]
:* [[Quaternion|Quaternions]]
:* Hierarchical coordinate systems
:* Hierarchical coordinate systems
Line 17: Line 19:
::* Implicit geometry - lines, circles, ellipses
::* Implicit geometry - lines, circles, ellipses
::* [[Implicit Surfaces]] - quadrics, superquadrics
::* [[Implicit Surfaces]] - quadrics, superquadrics
 +
::* [[Implicit Equations]]
::* [[Parametric Equations|Parametric geometry]] - lines, circles, ellipses
::* [[Parametric Equations|Parametric geometry]] - lines, circles, ellipses
::* Parametric surfaces - quadrics, superquadrics
::* Parametric surfaces - quadrics, superquadrics

Revision as of 10:26, 1 September 2009

Not surprisingly, the mathematics used in computer graphics was touched upon by the students at Drexel and Swarthmore during the summer of '09. Some of the Helper Pages, in particular are needed topics for some of the image pages, and for computer graphics.


As students turned their creative talents on these topics we decided to open this repository of software devoted to understanding them. Our hope is that it will develop into a useful resource for students and faculty in both disciplines. Please contribute your good material!


The following is a list of mathematical topics used in computer graphics. The original list was provided by Drexel professor David Breen.

  • Curves (Catmull-Rom, Bezier, B-spline)
  • Bezier patches
  • Subdivision surfaces
  • Implicit geometry - lines, circles, ellipses
  • Implicit Surfaces - quadrics, superquadrics
  • Implicit Equations
  • Parametric geometry - lines, circles, ellipses
  • Parametric surfaces - quadrics, superquadrics

More examples may be found in the lecture slides of CS 430.

Personal tools