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Topic 4. 3 D Transformations Homogeneous coordinates in 3 D Transformations & rotations in 3 D Viewing
Points in Euclidean 3 D coordinates
Euclidean coord-s into Homogeneous coords
Points at Infinity in Homogeneous Coordinates
Plane Equation in Homogeneous Coordinates
Topic 4. 3 D Transformations Homogeneous coordinates in 3 D Transformations & rotations in 3 D
General Linear 3 D Transformations
General Linear 3 D Transformations
Affine Transformations in 3 D
Affine Transformations: Basic Properties
From Affine to Rigid Transformations
Rigid Transformations: Rotations in 3 D
Elementary Rotations in 3 D
Topic 5. 3 D Viewing Orthographic projection The world-to-camera transformation Perspective projection The transformation chain for 3 D viewing
Orthographic Projection
Orthographic Projection
The Object-to-Camera Transformation
Main Transformations Used in 3 D Viewing
Main Transformations Used in 3 D Viewing
The Transformation Chain for 3 D Viewing
Transformation Chain for 3 D Viewing (partial)
Transformation Chain for 3 D Viewing (partial)
Topic 5. 3 D Viewing Orthographic projection The world-to-camera transformation Perspective projection The transformation chain for 3 D viewing
The Camera-Centered Coordinate System
Computing the World-to-Camera Transform
Computing the World-to-Camera Transform
First compute Camera-to-World Transform…
… then Compute its Inverse
Transformation Chain for 3 D Viewing (partial)
How Accurate is Orthographic Projection?
How Accurate is Orthographic Projection?
Camera Projection What is the difference between these two images?
Transformation Chain for 3 D Viewing (partial)
Topic 5. 3 D Viewing Orthographic projection The world-to-camera transformation Perspective projection The transformation chain for 3 D viewing
The Pinhole Camera
Simple Lens-Based Camera & Thin-Lens Law
Simple Lens-Based Camera & Thin-Lens Law
The Pinhole Camera
The Pinhole Camera: Basic Geometry in 2 D
The Perspective Projection Equation in 2 D
The Perspective Projection Equation in 3 D
The Perspective Projection Equation in 3 D
Perspective Projection & Homogeneous coord-s
Transformation Chain for 3 D Viewing (partial)
The Canonical View Volume Transform
The Canonical View Volume Transform
Transformation Chain for 3 D Viewing