Ensayo
Three Dimensional Viewing
General three-dimensional transformation pipeline,
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Photographing a scene involves selection of the camera position and orientation.A righthanded viewing-coordinate system
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Orientation of the view plane and viewplane normal vector N
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The View-Up Vector
• This vector is used toestablish the positive direction for the yview axis
uvn viewing-coordinate reference frame
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Generating Three-Dimensional Viewing Effects
Viewing an object from differentdirections using a fixed reference point.
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TRANSFORMATION FROM WORLD TO VIEWING COORDINATES
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Parallel projection
Perspective projection
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Axonometric and Isometric Orthogonal Projections
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Clipping Window
Orthogonal-Projection View Volume
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Normalization Transformationfor an Orthogonal Projection
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OBLIQUE PARALLEL PROJECTIONS
Oblique parallel projection
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Cavalier
Cabinet
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Projection vectorVp
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Oblique Parallel-Projection Transformation Matrix
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Normalization Transformation for an Oblique Parallel Projection
Perspective projection
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Perspective-Projection Transformation Coordinates
Perspective-Projection Equations: Special Cases
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Projection reference point is between the object and the viewplane
Moving the projection reference point
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Principal vanishing points for perspectiveprojection views of a cube
Perspective-Projection View Volume
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Symmetric Perspective-Projection Frustum
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Field-of-view angle
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Oblique Perspective-Projection Frustum...
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