讲解CS 770/870、辅导C/C++编程、讲解Catmull-Rom、讲解C/C++语言

2018/12/2 Asn09

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Asn09

Due Dec 10 by 11:59pm Points 100 Submitting a file upload

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CS 770/870 Assignment 9

Due Date : December 10th, 2018

NO LATE SUBMISSIONS WILL BE ACCEPTED

1. (50 points) You must design a segment of highway using a cubic curve. A car, traveling East, passes through point A=

(0 100) with speed s units/second, and then passes through point B=(100 0) traveling South, also with

speed s units/second.

1. Find the equation of a Bezier curve P(t) that describes the path of the car, which is C continuous, and smoothly

joins the two points A and B, such that P(0)=A and P(1)=B.

2. Is the curve C continuous everywhere?

3. Plot the curve for s=10, s=200, and s=1000.

4. Explain what happens when s=600 and t=0.5.

2. (50 points) Write an openGL program that draws your name (or any word of at least five letters), in cursive script. The

drawing should use, wherever possible, a single smooth, continuous curve (in other words, write as much as

possible without liing

your pen o

the paper). Compose the curve out of multiple cubic pieces joined together. I

suggest you use Catmull-Rom ("cardinal") splines.

Cubic Curves

I am providing two additional files which describe

Bezier curves

1

2

2018/12/2 Asn09

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Catmull-Rom splines.

Turn in Your Work

On or before the due date, you should turn in two files, which must be named exactly as follows:

road.pdf : this answers the first question

name.cpp : this answers the second question

For the second question, you should download the starting code for assignment 1, and modify the main file to use

Catmull-Rom splines instead of straight lines