L4-mview-pict-F2010

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 – 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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M4(I).4 Tech 106: Multiview Projection theory Object Projection Theory: Based on Projectors (rays) from object points to Projection Plane Projection Plane: Plane on which view is formed. View of object projected onto projection plane: Connect projection points by straight lines
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M4(I).5 Tech 106: Multiview Projections object “connect the dots” Intersection points projectors Projection plane
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M4(I).6 Tech 106: Multiview Parallel vs Perspective Projections Perspective : Projectors not parallel : from viewpoint (finite distance from object) through plane of projection, to object Parallel : Projectors parallel (Viewpoint infinite distance from object), through plane of projection, to object
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M4(I).7 Tech 106: Multiview Spatial Thinking—Projections Ref: Text Chapter 5 Projection types Parallel – Orthographic • Multiview (3 rd angle)
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M4(I).8 Tech 106: Multiview Kinds of Parallel Projections Image depends on 1. Angle of object with respect to projection Plane 2. Angle of (parallel) projectors with respect to Projection Plane View: Isometric Oblique Orthographic Object : angled parallel parallel to proj. plane Rays : perpendicular angled perpendicular to proj. plane
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M4(I).9 Tech 106: Multiview Orthographic Projection Plane Orthographic: object oriented so only 2 of its 3 dims are seen Object’s depth not represented in this (Front) view. Projectors perpendicular to Proj. Plane
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M4(I).10 Tech 106: Multiview Principal Orthographic Views How many views?? “Camera” can be anywhere: # views possible – Only 6 “Principal Ortho Views” Put object in “glass box” Principal Views (6): – those projected onto 6 faces of “glass box”
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M4(I).11 Tech 106: Multiview Mutiview Glass Box Animation
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M4(I).12 Tech 106: Multiview Unfolding the Glass Box for 6-view Sketch Unfolding Unfolded: note size relationships (ie. depth in side/top/bottom)
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M4(I).13 Tech 106: Multiview Size Relationships
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L4-mview-pict-F2010 - TECH 106 Spatial Thinking and...

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