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Transformations in Ray Tracing MIT EECS 6.837, Durand and Cutler

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Linear Algebra Review Session Tonight! 7:30 –9 PM MIT EECS 6.837, Durand and Cutler

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Last Time:

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Today Motivations Transformations in Modeling Adding Transformations to our Ray Tracer Constructive Solid Geometry (CSG) Assignment 2 MIT EECS 6.837, Durand and Cutler

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Modeling Create / acquire objects Placing objects Placing lights Describe materials Choose camera position and camera parameters Specify animation.... MIT EECS 6.837, Durand and Cutler

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Transformations in Modeling

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Today Motivations Transformations in Modeling –Scene description –Class Hierarchy –Transformations in the Hierarchy Adding Transformations to our Ray Tracer Constructive Solid Geometry (CSG) Assignment 2 MIT EECS 6.837, Durand and Cutler

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Scene Description

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Simple Scene Description File

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Class Hierarchy

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Why is a Group an Object3D?

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Simple Example with Groups

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Adding Materials

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Adding Transformations

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Class Hierarchy with Transformations

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Why is a Transform an Object3D?

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Simple Example with Transforms

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Nested Transforms

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Questions? MIT EECS 6.837, Durand and Cutler

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Today Motivations Transformations in Modeling Adding Transformations to our Ray Tracer – Transforming the Ray –Handling the depth, t –Transforming the Normal Constructive Solid Geometry (CSG) Assignment 2 MIT EECS 6.837, Durand and Cutler

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Incorporating Transforms 1.Make each primitive handle any applied transformations Sphere { center radius 2 } 2.Transform the Rays Transform { Translate { } Scale { } Sphere { center radius 1 } }

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Primitives handle Transforms

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Transform the Ray

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Transform Ray

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Transforming Points & Directions

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What to do aboutthe depth, t If Mincludes scaling, direction OS will NOT be normalized 1.Normalize the direction 2.Don't normalize the direction MIT EECS 6.837, Durand and Cutler

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1. Normalize direction

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2. Don't normalize direction

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Questions? MIT EECS 6.837, Durand and Cutler

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New component of the Hit class

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Why is the Normal important?

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Visualization of Surface Normal

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How do we transform normals?

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Transform the Normal like the Ray?

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What class of transforms?

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Transformation for shear and scale

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More Normal Visualizations

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So how do we do it right?

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Transform tangent vector v

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Comment

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Questions? MIT EECS 6.837, Durand and Cutler

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Today Motivations Transformations in Modeling Adding Transformations to our Ray Tracer Constructive Solid Geometry (CSG) Assignment 2 MIT EECS 6.837, Durand and Cutler

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Constructive Solid Geometry (CSG)

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How can we implement CSG?

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Collect all the intersections

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Implementing CSG

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"Fredo'sFirst CSG RaytracedImage"

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Questions? MIT EECS 6.837, Durand and Cutler

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Today Motivations Transformations in Modeling Adding Transformations to our Ray Tracer Constructive Solid Geometry (CSG) Assignment 2 –Due Wednesday Sept 24th, 11:59pm MIT EECS 6.837, Durand and Cutler

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Adding Perspective Camera

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Triangle Meshes (.obj)

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Acquiring Geometry 3D Scanning (Images removed due to copyright considerations.) MIT EECS 6.837, Durand and Cutler

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Next Week: Ray Tracing Surface reflectance MIT EECS 6.837, Durand and Cutler

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