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HiteshJain007

Its Computer Graphics Topic in Engineering for Mumbai University.

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3D Viewing 고려대학교 컴퓨터 그래픽스 연구실 cgvr.korea.ac.kr
3d Rendering Pipeline cgvr.korea.ac.kr Model Transformation Lighting Viewing Transformation Projection Transformation Clipping Viewport Transformation Scan Conversion 3D Primitives Image This is a pipelined sequence of operations to draw a 3D primitive into a 2D image for direct illumination
In Pipeline ,[object Object],cgvr.korea.ac.kr Model Transformation Lighting Viewing Transformation Projection Transformation Clipping Viewport Transformation Scan Conversion Image 3D Primitives
In Pipeline ,[object Object],cgvr.korea.ac.kr Model Transformation Lighting Viewing Transformation Projection Transformation Clipping Viewport Transformation Scan Conversion Image ,[object Object],3D Primitives
In Pipeline ,[object Object],cgvr.korea.ac.kr Model Transformation Lighting Viewing Transformation Projection Transformation Clipping Viewport Transformation Scan Conversion Image ,[object Object],[object Object],3D Primitives
In Pipeline ,[object Object],cgvr.korea.ac.kr Model Transformation Lighting Viewing Transformation Projection Transformation Clipping Viewport Transformation Scan Conversion Image ,[object Object],[object Object],[object Object],3D Primitives
In Pipeline ,[object Object],cgvr.korea.ac.kr Model Transformation Lighting Viewing Transformation Projection Transformation Clipping Viewport Transformation Scan Conversion Image ,[object Object],[object Object],[object Object],[object Object],3D Primitives
In Pipeline ,[object Object],cgvr.korea.ac.kr Model Transformation Lighting Viewing Transformation Projection Transformation Clipping Viewport Transformation Scan Conversion Image ,[object Object],[object Object],[object Object],[object Object],[object Object],3D Primitives
In Pipeline ,[object Object],cgvr.korea.ac.kr Model Transformation Lighting Viewing Transformation Projection Transformation Clipping Viewport Transformation Scan Conversion Image ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],3D Primitives
Transformation ,[object Object],cgvr.korea.ac.kr Model Transformation Lighting Viewing Transformation Projection Transformation Clipping Viewport Transformation Scan Conversion Image ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],3D Primitives
Transformation cgvr.korea.ac.kr ,[object Object],Model Transformation Viewing Transformation Projection Transformation Viewport Transformation p(x’, y’) P(x, y, z) ,[object Object],[object Object],[object Object],[object Object],3D Viewing Coordinate 3D Object Coordinate 3D World Coordinate
Viewing Transformation cgvr.korea.ac.kr ,[object Object],Model Transformation Viewing Transformation Projection Transformation Viewport Transformation p(x’, y’) P(x, y, z) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Viewing Transformation ,[object Object],[object Object],[object Object],[object Object],cgvr.korea.ac.kr X Y Z ,[object Object]
Transformation from WC to VC ,[object Object],[object Object],[object Object],cgvr.korea.ac.kr General sequence of translate-rotate transformation
Transformation from WC to VC (cont’) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],cgvr.korea.ac.kr
Transformation from WC to VC (cont’) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],cgvr.korea.ac.kr
Camera Models ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],cgvr.korea.ac.kr
Viewing Parameters ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],cgvr.korea.ac.kr
Viewing Coordinate ,[object Object],[object Object],[object Object],cgvr.korea.ac.kr X Y ,[object Object],Viewing right vector maps to X axis Viewing back vector maps to Z axis (potting out of page)
Viewing Transformation ,[object Object],cgvr.korea.ac.kr Right Up Back Eye (0, 0, 1) (0, 1, 0) (1, 0, 0) Matrix
Viewing Transformation cgvr.korea.ac.kr ,[object Object],Model Transformation Viewing Transformation Projection Transformation Viewport Transformation p(x’, y’) P(x, y, z) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Projection ,[object Object],[object Object],[object Object],[object Object],cgvr.korea.ac.kr
Taxonomy of Projections cgvr.korea.ac.kr Planar geometric projection Parallel Perspective Orthographic Oblique Top Front Side Axonometric Cabinet Cavalier Other One-point Two-point Three-point
Parallel & Perspective ,[object Object],[object Object],cgvr.korea.ac.kr
Taxonomy of Projections cgvr.korea.ac.kr Planar geometric projection Parallel Perspective Orthographic Oblique Top Front Side Axonometric Cabinet Cavalier Other One-point Two-point Three-point
Parallel Projection ,[object Object],[object Object],cgvr.korea.ac.kr View Plane DOP
Taxonomy of Projections cgvr.korea.ac.kr Planar geometric projection Parallel Perspective Orthographic Oblique Top Front Side Axonometric Cabinet Cavalier Other One-point Two-point Three-point
Parallel Projection View Volume cgvr.korea.ac.kr
Orthographic & Oblique ,[object Object],[object Object],[object Object],[object Object],cgvr.korea.ac.kr
Orthographic Projections ,[object Object],cgvr.korea.ac.kr
Orthographic Projections ,[object Object],cgvr.korea.ac.kr Front Top Side
Orthographic Coordinates cgvr.korea.ac.kr
Oblique Projections ,[object Object],cgvr.korea.ac.kr ,[object Object],[object Object],[object Object],[object Object]
Oblique Projections ,[object Object],[object Object],[object Object],cgvr.korea.ac.kr
Parallel Projection Matrix ,[object Object],cgvr.korea.ac.kr Where L 1 is the inverse of tan α , which is also the value of L when z =1
Parallel Projection Matrix ,[object Object],cgvr.korea.ac.kr
Parallel Projection Matrix cgvr.korea.ac.kr
Taxonomy of Projections cgvr.korea.ac.kr Planar geometric projection Parallel Perspective Orthographic Oblique Top Front Side Axonometric Cabinet Cavalier Other One-point Two-point Three-point
Perspective Projection ,[object Object],cgvr.korea.ac.kr View Plane Center of Projection Projectors
Perspective Projection ,[object Object],cgvr.korea.ac.kr
Perspective Projection ,[object Object],cgvr.korea.ac.kr Three-point perspective
Perspective Projection ,[object Object],cgvr.korea.ac.kr Three-point perspective Two-point perspective
Perspective Projection ,[object Object],cgvr.korea.ac.kr Three-point perspective Two-point perspective One-point perspective
Perspective Projection View Volume cgvr.korea.ac.kr
Perspective Projection ,[object Object],cgvr.korea.ac.kr
Perspective Projection ,[object Object],cgvr.korea.ac.kr
Perspective Projection Matrix ,[object Object],cgvr.korea.ac.kr
Perspective Projection Matrix ,[object Object],cgvr.korea.ac.kr
Perspective Projection Matrix cgvr.korea.ac.kr Perspective projection Perspective transformation Orthographic projection Center of Projection on the x axis Center of Projection on the y axis
Perspective Projection Matrix cgvr.korea.ac.kr 2-point perspectives 3-point perspectives
Taxonomy of Projections cgvr.korea.ac.kr Planar geometric projection Parallel Perspective Orthographic Oblique Top Front Side Axonometric Cabinet Cavalier Other One-point Two-point Three-point
Perspective vs. Parallel ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],cgvr.korea.ac.kr
Classical Viewing cgvr.korea.ac.kr

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viewing3d pipeline

  • 1. 3D Viewing 고려대학교 컴퓨터 그래픽스 연구실 cgvr.korea.ac.kr
  • 2. 3d Rendering Pipeline cgvr.korea.ac.kr Model Transformation Lighting Viewing Transformation Projection Transformation Clipping Viewport Transformation Scan Conversion 3D Primitives Image This is a pipelined sequence of operations to draw a 3D primitive into a 2D image for direct illumination
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  • 23. Taxonomy of Projections cgvr.korea.ac.kr Planar geometric projection Parallel Perspective Orthographic Oblique Top Front Side Axonometric Cabinet Cavalier Other One-point Two-point Three-point
  • 24.
  • 25. Taxonomy of Projections cgvr.korea.ac.kr Planar geometric projection Parallel Perspective Orthographic Oblique Top Front Side Axonometric Cabinet Cavalier Other One-point Two-point Three-point
  • 26.
  • 27. Taxonomy of Projections cgvr.korea.ac.kr Planar geometric projection Parallel Perspective Orthographic Oblique Top Front Side Axonometric Cabinet Cavalier Other One-point Two-point Three-point
  • 28. Parallel Projection View Volume cgvr.korea.ac.kr
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  • 37. Parallel Projection Matrix cgvr.korea.ac.kr
  • 38. Taxonomy of Projections cgvr.korea.ac.kr Planar geometric projection Parallel Perspective Orthographic Oblique Top Front Side Axonometric Cabinet Cavalier Other One-point Two-point Three-point
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  • 44. Perspective Projection View Volume cgvr.korea.ac.kr
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  • 49. Perspective Projection Matrix cgvr.korea.ac.kr Perspective projection Perspective transformation Orthographic projection Center of Projection on the x axis Center of Projection on the y axis
  • 50. Perspective Projection Matrix cgvr.korea.ac.kr 2-point perspectives 3-point perspectives
  • 51. Taxonomy of Projections cgvr.korea.ac.kr Planar geometric projection Parallel Perspective Orthographic Oblique Top Front Side Axonometric Cabinet Cavalier Other One-point Two-point Three-point
  • 52.