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Please check this page regularly
because the coverage and the schedule are subject to change based on
students' needs. Lecture materials are posted online every week:
lecture slides and notes. |
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Topics |
Reference |
Handouts |
Key Dates |
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1.1 |
2/2 T |
Introduction
Goal, Schedule, Assignments, and Grading
STL file format |
STL file format
doc
Sample STL file (tri2.stl) |
PS1
download
Meshlab |
PS1 Out |
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1.2 |
2/4 R |
1. BASIC GEOMETRY
Vectors
and Matrices
Notation schemes
Vector operations
Dot / Cross /
Triple scalar products |
vector-operations |
Summary - Basic Geometry
ps1-hint
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2/5 F |
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2.1
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2/9 T |
Lines
and Planes
Affine combinations
Line and plane equations
Three forms
Parametric / Vector
/ Implicit forms |
STL file format
doc
Sample STL file (tri2.stl) |
PS2 |
PS2 Out |
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2.2
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2/11 R |
Examples of geometric calculation |
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download
Meshlab |
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2/12 F |
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PS1
Solutions |
PS1 Due |
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3.1 |
2/16 T |
Area and Volume
Area of 2D polygon Area of 3D polygon
Volume of polyhedron
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PS3
mouse.txt
bird.txt
shape.dat
triceratops.dat
(cube.dat for checking your code) |
PS3 Out |
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3.2 |
2/18 R |
Transformations
Homogeneous coordinates
Affine maps, Euclidean maps
Coordinate transformation
Geometric transformation
2D rotation, translation
2D scaling, sheer |
flowchart_pseudocode |
Summary - Homogeneous
Transformation |
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2/19 F |
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PS2
Solutions |
PS2 Due |
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4.1 |
2/23 T |
< Break Day - No Class > |
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4.2 |
2/25 R |
Composition of 2D transformations
3D rotation, translation
3D scaling, shear
Composition of 3D transformations
General rotation matrix |
vrml97 tutorial
vrml97_specs.pdf
vrml-sample.pdf
vrml-sample.wrl
coordinate_frame.wrl
2dof_robot_problem |
PS4
triceratops.dat
general_rotation_matrix
(Wikipedia)
general_rot_matrix_derivation |
PS4 Out
Quiz 1
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2/26 F |
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PS3
Solutions
PS3 area and volume results |
PS3 Due |
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5.1 |
3/2 T |
Transforming geometry
Inverse of coordinate system transformation
Derivation of general rotation matrix |
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5.2 |
3/4 R |
2.
MESH-BASED MODELING
Automotive
styling design
Concept cars
Design studio facility
Design team
Exterior design |
3d-laser-scanner.pdf
3D laser scanners
VIVID910
Vivid_9i |
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3/5 F |
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PS4
Solutions |
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6.1 |
3/9 T |
Interior design
Clay modeling
Coordinate measurement
Digital mockup
Zebra board reflection
pattern |
first-car.pdf
automobile-design-history.pdf
clay-modeling.pdf
various rendering
methods |
PS5
stl2grd_win.zip
stl2grd_linux.zip
stl2gr_mac.zip
PS6
surface.grd
face.grd
car-panel1.grd
car-panel2.grd
ps6_sample.grd
ps6_vrml_sample.pdf
ps6_vrml_sample.wrl
PS6-2
Hints
PS6-2 Hints 2 |
PS5 Out
PS6 Out
PS4 Due |
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6.2 |
3/11 R |
G0, G1, G2 continuity
Curve and surface filleting
Making a colored surface
with VRML
Clay modeling processes |
Inside Ford's Clay
Modeling Studio (YouTube)
car-styling-design-methods
interior-modeling
shiny-mercedes
car-reverse-engineering |
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3/12 F |
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PS5 Solutions |
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7.1 |
3/16 T |
Mesh
smoothing
Image smoothing and
mesh smoothing
Laplacian smoothing
operator |
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PS7 |
PS7 Out
Quiz 2 |
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7.2 |
3/18 R |
Laplace operator
Heat transfer problems
Numerical solution to Laplace Equation |
FDM for
Laplace Equation |
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3/19 F |
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PS6
Solutions |
PS6 Due |
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8.1 |
3/23 T |
3. CURVE & SURFACE MODELING
Curves
for engineering applications
Representations
Explicit / implicit / parametric
Algebraic / geometric form
Standard / matrix form
Hermite curves
Algebraic form vs. Geometric form
Hermite basis functions
Matrix form
Tangent vectors & controllability |
Single Cubic Bezier Curve
Multiple Cubic Bezier
Curves
Animated Bezier
Curves |
PS8
sample
result1 result2
sample_vrml_file
Summary - Curves and
Surfaces |
PS8 Out |
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8.2 |
3/25 R |
Bezier curves
Hermite-Bezier conversion
Bezier basis functions
Bernstein polynomials |
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3/26 F |
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PS7 Solutions |
PS7 Due |
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9.1 |
3/30 T |
Properties of
Bezier curves
The de Casteljau algorithm
Composite Bezier curves |
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PS9
ps9-3_sample_result |
PS9 Out
Quiz 3 |
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9.2 |
4/1 R |
Basic Surfaces
Quadric surfaces
General quadric surfaces
Natural quadrics
Parametric bicubic surfaces
Hermite bi-cubic surfaces
Bezier bi-cubic surfaces
Joining surface patches
Trimmed surfaces |
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Project
sample project topics |
Project Out |
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4/2 F |
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PS8 Solutions |
PS8 Due |
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10.1 |
4/6 T |
4. SOLID MODELING
Introduction
to solid modeling
Wireframe / surface / solid
CSG / B-Rep / decomposition |
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PS10 |
PS10 Out
Project
one-page-proposal Due (4/7) |
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10.2 |
4/8 R |
Mathematical models of solids
Mathematical model/object
Point-set models
Rigidity / regularity /
finiteness |
plane_model |
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4/9 F |
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PS9 Solutions |
PS9 Due |
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11.1 |
4/13 T |
Boundary-based models
2-manifold / plane model
Euler characteristics |
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PS11 |
PS11 Out
Quiz 4 |
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11.2 |
4/15 R |
< Break Day - No Class > |
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4/16 F |
< Spring Carnival > |
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12.1 |
4/20 T |
Boundary
representations
Winged-edge data structure |
euler_operator_practice
half_edge_data_structure |
PS10
Solutions |
Project interim report Due (4/21) |
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12.2 |
4/22 R |
Extended Euler-Poincare formula
Euler operators |
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4/23 F |
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PS10 Due |
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13.1 |
4/27 T |
Spatial decomposition models
Spatial occupancy enumeration
Voxel / Octree / kD trees |
Course review (mp3) |
PS12
voxel_code.zip |
PS12 Out |
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13.2 |
4/29 R |
Constructive
solid geometry (CSG)
Boolean
set operations
Regularized Boolean set op. |
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Quiz 5 |
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4/30 F |
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PS11
Solutions |
PS11 Due |
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14.1 |
5/4 T |
Project Presentations Day 1 |
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Project
Presentation Due |
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14.2 |
5/6 R |
Project Presentations Day 2 |
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5/7 F |
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Project Report Due |
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15 |
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Final Exam Week |
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5/14 F |
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PS12 Solutions |
PS12 Due |
