L4-mview-pict-F2010 - TECH 106 Spatial Thinking and...

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TECH 106 Spatial Thinking and Communicating Fall 2010 Lecture 4 Part 1 Multiviews and Projections
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M4(I).2 Tech 106: Multiview Objectives for today Review underlying ‘theory’ of projections – Projection planes – The 6 standard views & how to generate them – Relationships among views Explore details of multiview projections Discuss methods for solving multiview problems Pictorial projections (axonometric, perspective) [depending on time, an intro/preview of SolidWorks’ approach to building 3D models: an intro to 3D modeling ] Readings : Multiview: Text Ch 5, ( 5.1-5.7, 5.8.1-5.8.4, 5.10-5.13) Pictorials: Text Ch 7, (7.1 – 7.6, 7.14 - 7.19
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M4(I).3 Tech 106: Multiview Projection of a Line Problem: represent 3D object in 2D Answer: Projection Def: linear map from 3D to 2D space We only look at planar geometric projections Straight lines (projectors) Through object points , from Center Of Projection (can be at infinity) Projection : intersection of projectors and Projection Plane
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