EGR 611 Fall 2014
HOMEWORK #5
DUE: 10/30/14
1) Solve for B-Spline Curve for Range [3, 4] for an order of 4 curve with 4 control points.
- Show the hand calculations
- Plot the Basis Function of #1
2) Generate the conical surface obtained by rotation of th

Ethical Analysis of the Bhopal Disaster
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On December 2, 1984, more than 2000 people died and over 200,000 people were injured
because of a leak of a storage tank containing 10,000 gallons of methyl isocyanate (MIC) at a
Union Carbide chemical plant in

Numbrix
Numbrix is a number puzzle. It appears in Parade magazine, a supplement to the Sunday paper
in like most every city in the U.S. It was developed by "the smartest woman in the world",
Marilyn Vos Savant. Solving the puzzle requires filling in all t

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Probability
2.1
Introduction
This chapter provides an introduction to the mathematics that is the foundation for the most
important statistical concepts needed for the analysis of measurement data.
Measurements will vary from each other. For exa

Delcam-A Complete Solution for CAD-CAM
Overview:
To materialize the concept of various complex shaped objects, Delcam has become one of the
most reliable and leading companies in this world which supplies complete advanced CAD/CAM
solutions with a vast ra

Answer to the question no 1
Problem Statement:
B spline curve for range [3,4] for an order 4 with control points is to be solved and the basis
function is to be plot.
Analysis:
The equation of a B-Spine curve with degree k and control points n, is given b

EGR 611
Introduction to Computer Aided Design & Analysis
Submission of Term Project
Instructor: Dr. Sung-Hwan Joo
Associate Professor
Mechanical Engineering
Submitted byRahat Sultana
G#01333108
Date: December 4, 2014
Introduction
This report has been prep

EGR 611
Homework #3
1. Four points of a parametric curve are given below:
POcfw_0,0) u. = 0
FAME) u = 1/4
P2043) u m 3/4-
P3cfw_S,-2) u = 1
Problem Statement:
Determine the geometric coefcient matrix and slope of the curve when u=5.
Anaixsis:
Use the fo

Dillon & Fadyn
Parametric Equations
Part 2
1
Today
Parametric curves
Hermite curves
Bezier curves
Parametric Equations
1
Dillon & Fadyn
Computers cant draw curves.
The more points/line
segments that are
used, the smoother
the curve.
Why have curves ?

Rotation about an Arbitrary Axis (Line)
Rotation about an Arbitrary Axis (Line)
Z
P1
L
P1
P2
Z0
P0
X0
O
Y0
Y
X
y = Bu + y0
LL
P0
x = Au + x0
0 < =u <=1
z = Cu + z0
L = A2 + B 2 + C 2 u
CC
B
A
AB
Step 1: Translate Point P0 to Origin O
T
P0 = [ xo yo zo ]
0

8/30/2016
EGR 611
Introduction
What is CAD?
1
8/30/2016
What is CAD?
Computer Aided Design and
Drafting (sometimes known as
CADD)
Generally, it is the use of computers
in design and drawing processes
What is CAD?
Traditionally, technical drawing are
ma

Polynomial Interpolation
Lagrange Interpolation
Interpolation
40
30
An Interpolating Function
for a set of data:
cfw_(x1,y1),(x2,y2),(x3,y3)(xm,ym)
is a function f(x) that
satisfies:
f(x1) = y1
f(x2) = y2
f(x3) = y3
.
.
.
f(xm) = ym
20
10
-2
-1
1
2
-10
-2

EGR 611 Fall 2016
HOMEWORK Week #3
DUE: September 20, 2016
1) The Coordinates of a cube are given below. Scale the cube uniformly by 0.5.
0
2
2
[P] = 0
0
2
2
[0
0
0
2
2
0
0
2
2
0
0
0
0
2
2
2
2
1
1
1
1
1
1
1
1]
2) The vertices of a wedge are given in the m

Summary of the Avoiding plagiarism, self-plagiarism,
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ethical writing
In 2002, the Office of Research Integrity (ORI) started sponsoring to educate students,
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