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#
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Date
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Topics
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Reading
Assignments
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Handouts
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Problem
Sets
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1
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1/14
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Course
Outline
Mechanical CAD/CAE
1.
BASIC GEOMETRY
1.1 Vectors and Matrices |
class
home page
pp.1-18 (intro)
pp.431-437 (vector)
pp.431-437
(matrix)
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calendar.pdf
MCAD
industry
MCAE
industry
Sketchpad
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PS1
Out
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2
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1/16
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1.2 Lines and Planes
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Review programming
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1/21
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Martin Luther King Day
(no afternoon classes)
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3
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1/23
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1.3 Transformations
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pp.439-471
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vrml-sample.pdf
vrml-sample.wrl
transform-chain.pdf
transform-chain.wrl
vrml97_specs.zip
vrml_examples.zip
robot-parts.wrl
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PS1 Due
PS2 Out
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4
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1/28
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(PS1 feedback)
1.3 ...
(VRML2 tutorial)
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general
rotation matrix
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5
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1/30
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1.3 ...
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triceratop.dat
triceratop1.jpg
triceratop2.jpg |
PS2
Due
PS3 Out
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6
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2/4
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1.4 Areas and Volumes
(C macros for vectors and rotations)
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7
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2/6
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PS3
Due
PS4
Out
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8
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2/11
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QUIZ
1: Introduction
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9
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2/13
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2. SOLID MODELING
2.1 Introduction
2.2 Mathematical Model of Solids
2.2.1 Mathematical Object
2.2.2 Point-Set Models
(ST1: Wiereframe to Solid Conversion)
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pp.281-373
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PS4
Due
PS5 Out
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10
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2/18
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(Quiz1 feedback)
2.2.3 Boundary Based Models
(PS4 Preview)
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graded
Quiz1
plane model examples
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11
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2/20
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2.2.3 ...
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PS5
Due
PS6 Out
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12
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2/25
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2.3 Constructive Solid Geometry
2.4 Decomposition Models
2.4.1 Spatial Occupancy Enumeration
2.4.2 Octrees
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pp.318-356
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tree
traversal
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13
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2/27
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2.4.3 kD Tree
2.4.4 BSP Tree
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pp.367-372
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PS6 Due
PS7 Out
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14
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3/4
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2.5 Boundary Representation
2.5.1 Data Structure
2.5.2 Euler Operators
2.5.3 Modeling Operations
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regularized
Boolean set op
half-edge data structure
Euler operator worksheet
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15
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3/6
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2.6 Advanced Issues in Solid Modeling
2.6.1 Non-Manifold Geometry
2.6.2 Bounding Geometry for Collision
Detection
2.6.3 Mesh Generation |
pp.19-38
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PS7 Due
PS8
Out
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16
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3/11
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QUIZ
2: Solid Modeling
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17
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3/13
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3.
CURVES AND SURFACES
3.1 Basic Curves
3.1.1 Explicit, Implicit, and Parametric
Forms
3.1.2 Algebraic & Geometric Forms
3.1.3 Analytic Curves in 3D
(Solid Modeling Review)
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PS8 Due
PS9 Out
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18
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3/18
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3.2 Hermite Curves
3.2.1 Algebraic & Geometric Forms
3.2.2 Matrix Forms
3.2.3 Tangent Vectors and Controllability
3.2.4 Four Point Interpolation
3.2.5 Continuity
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pp.39-80
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19
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3/20
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3.3 Bezier Curves
3.3.1 Hermite-Bezier Conversion
3.3.2 Bezier Basic Functions
3.3.3 Properties of Bezier Curves
3.3.4 The de Casteljau Algorighm
3.3.5 Composite Bezier Curves
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pp.81-112
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PS9 Due
PS10 Out
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20
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3/25
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3.4
B-Spline Curves
3.4.1 Introduction
3.4.2 B-Spline Basis Function
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pp.113-142
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21
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3/27
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3.4.3 Multiplicity and Continuity
3.4.4 Bezier vs B-Splines
3.4.5 Open B-Spline Curves
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PS10 Due
Project Proposal Due
PS11 Out
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4/1
4/3
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!!
S P R I N G B R E A K !!
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22
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4/8
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3.5 Hermite Surfaces
3.5.1 Algebraic & Geometric Forms
3.5.2 Geometry Vectors
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pp.169-216
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23
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4/10
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3.6 Bezier Surfaces
3.6.1 Geometry Vectors
3.6.2 Converting Hermite to Bezier
3.6.3 Composite Bezier Surfaces
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pp.217-226
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PS11 Due
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24
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4/15
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4. Applications and Advanced Topics |
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25
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4/17
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26
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4/22
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Project Presentations
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Project Report Due
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27
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4/24
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Project Presentations
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28
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4/29
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Course
summary
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29
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5/1
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QUIZ 3: Curves and Surfaces
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