The Cartesian Coordinate System

2D Cartesian Mathematics

2D 笛卡尔数学

Arbitrary 2D Coordinate Spaces

Specifying Locations in 2D Using Cartesian Coordinates

Dimension,  Axis

Multiple Coordinate Spaces

World Space

Object Space

Camera Space

Inertial Space .

Nested Coordinate Spaces

Coordinate Space Transformations

Geometric Definition

Vectors   Scalars

Dimension

Position  Displacement

Sequence of Displacements

Relative Position

Linear Algebra

Negating a Vector

Geometric Interpretation

Vector Magnitude （length）

Multiplication

Normalized Vector

Subtraction

Vector Dot Product

Vector Cross Product

Identity

Projecting

Matrices

Notation

Square Matrices

Transposition

Transform

Arbitrary Axis

Cardinal Axes

Plane

Reflection

Shearing

Combining Transformations

Affine Transformations

Invertible Transformations

Angle-preserving Transformations

等角变换

Orthogonal Transformations

Rigid Body Transformations

Determinant

Inverse of a Matrix

Orthogonal Matrices

Homogenous Matrices

Perspective Projection

A Pinhole Camera

Orientation

Angular Displacement

Euler

Quaternions

Axis-Angle Pair

Quaternion Magnitude.

Quaternion Negation

Identity Quaternion

Quaternion Conjugate and Inverse

Conjugate

Inverse

Log

Exp

Quaternion Exponentiation

Exponentiation

Quaternion Interpolation

Interpolation 插值

Quaternion Splines

Geometric Primitives

Representation Technique

Implicit Form

Parametric Form

“Straightforward” Forms

Degrees of Freedom

Line

Rays

Representation

Two Points Representation 两点表示法

Convert

Sphere

Circle

Bounding Boxes

Bounding Sphere

Implicit Definition

Triangle

Area of a Triangle

Barycentric Space

Polygon

Self-intersecting Polygon

Convex Polygon

Concave Polygon

Triangulation

Fanning

Geometric Test

Intersection Tests

Meshes

Vertex Caching

Triangle Strips

Triangle Fans

Texture Mapping Coordinate

Surface Normal

Topology

Consistency

Piecewise Operations

Welding Vertices

Detaching Faces

Edge Collapse

Mesh Decimation

Graphics Pipeline

Pixel Aspect Ratio

View Frustum

Field of View

Zoom

Clip Space

Camera Space

Lighting Equation

Specular Component

Diffuse Component

Ambient Component

Light Attenuation

Texture Mapping

Geometry Generation/Delivery

Procedural Modeling.

Transformation

Backface Culling and Clipping

Rasterization、

Visibility Determination

Bounding Volume Tests

Against

Testing for Occlusion

Visible surface determination (VSD)

Space Partitioning Techniques

Grid Systems

Octrees

BSP Trees

BSP树

“Old School”

Arbitrary Dividing Planes

Occlusion Culling

Potentially Visible Sets

posted on 2009-04-12 08:01  sungo  阅读(536)  评论(0编辑  收藏  举报