tailieunhanh - Lecture Computer graphics: Lecture 16 - Fasih ur Rehman

This chapter discuss the purpose of the components required for successful communications; describe these uses of computer communications: wireless messaging services, wireless Internet access points, cybercafés, global positioning systems, collaboration, groupware, voice mail, and Web services; | Computer Graphics Lecture 16 Fasih ur Rehman Last Class Homogeneous transformations Types of Transformations Linear Transformations Affine Transformations Projective Transformations Combining Homogeneous transformations Today’s Agenda 3D Transforms Inverse Rotation Clipping 3D Transforms The idea of 3D transforms is the same as that of 2D A 3D point is represented by (x, y, z) Homogeneous Coordinates are defined as A 4th Coordinate is added to every 3D point (x, y, z, t) represents (x/t, y/t, z/t) (x, y, z, 0) represents infinity (0, 0, 0, 0) is not allowed General 3D Homogeneous Transform Scaling Scaling matrix Translation Translation matrix Reflection Reflection Matrix about yz – plane What are other reflection matrices Other Reflection Matrices Rotation Rotation about Z – axis Rotation Rotation about Y – axis Rotation Rotation about X – axis Inverse Rotation Summary 3D Transforms Inverse Rotation Clipping References Fundamentals of Computer Graphics Third Edition by Peter Shirley . | Computer Graphics Lecture 16 Fasih ur Rehman Last Class Homogeneous transformations Types of Transformations Linear Transformations Affine Transformations Projective Transformations Combining Homogeneous transformations Today’s Agenda 3D Transforms Inverse Rotation Clipping 3D Transforms The idea of 3D transforms is the same as that of 2D A 3D point is represented by (x, y, z) Homogeneous Coordinates are defined as A 4th Coordinate is added to every 3D point (x, y, z, t) represents (x/t, y/t, z/t) (x, y, z, 0) represents infinity (0, 0, 0, 0) is not allowed General 3D Homogeneous Transform Scaling Scaling matrix Translation Translation matrix Reflection Reflection Matrix about yz – plane What are other reflection matrices Other Reflection Matrices Rotation Rotation about Z – axis Rotation Rotation about Y – axis Rotation Rotation about X – axis Inverse Rotation Summary 3D Transforms Inverse Rotation Clipping References Fundamentals of Computer Graphics Third Edition by Peter Shirley and Steve Marschner Interactive Computer Graphics, A Top-down Approach with OpenGL (Sixth Edition) by Edward . | Computer Graphics Lecture 16 Fasih ur Rehman Last Class Homogeneous transformations Types of Transformations Linear Transformations Affine Transformations Projective Transformations Combining Homogeneous transformations Today’s Agenda 3D Transforms Inverse Rotation Clipping 3D Transforms The idea of 3D transforms is the same as that of 2D A 3D point is represented by (x, y, z) Homogeneous Coordinates are defined as A 4th Coordinate is added to every 3D point (x, y, z, t) represents (x/t, y/t, z/t) (x, y, z, 0) represents infinity (0, 0, 0, 0) is not allowed General 3D Homogeneous Transform Scaling Scaling matrix Translation Translation matrix Reflection Reflection Matrix about yz – plane What are other reflection matrices Other Reflection Matrices Rotation Rotation about Z – axis Rotation Rotation about Y – axis Rotation Rotation about X – axis Inverse Rotation Summary 3D Transforms Inverse Rotation Clipping References Fundamentals of Computer Graphics Third Edition by Peter Shirley and Steve Marschner Interactive Computer Graphics, A Top-down Approach with OpenGL (Sixth Edition) by Edward Angel.