Lecture_Chapter5_b

Lecture_Chapter5_b

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Unformatted text preview: Camera, and Lighting (x3 , y3 ) Top Clipper (x4 , y4 ) 33 Polygon Clipping •  Clipping as a pipeline Top Clipper Right Clipper ECS 175 Bottom Clipper Left Clipper Chapter 5: 3D – Projections, Camera, and Lighting 34 Polygon Clipping •  Bounding boxes, convex hulls •  How are curves, text, etc. clipped? ECS 175 Chapter 5: 3D – Projections, Camera, and Lighting 35 Clipping in 3D •  Line – plane intersections n · ( p − p0 ) = 0 p(u) = (1 − u) · p1 + u · p2 ECS 175 Plane with normal n, point p0 Parametric line equation Chapter 5: 3D – Projections, Camera, and Lighting 36 Clipping in 3D •  Line – plane intersections n · ( p( u ) − p0 ) = 0 Intersection equation, solve for u n · ((1 − u) · p1 + u · p2 − p0 ) = 0 n · ( p0 − p1 ) u= n · ( p2 − p1 ) ECS 175 Chapter 5: 3D – Projections, Camera, and Lighting 37 A Note on Planes and Normals •  Planes can be fully specified by three points •  These points may be used to specify a triangle •  Use the cross product to find ‘third orthogonal vector’ •  Normalized vector corresponds to triangle/plane normal ECS 175 Chapter 5: 3D – Projections, Camera, and Lighting 38...
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This document was uploaded on 03/12/2014 for the course ECS 175 at UC Davis.

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