• Goal
The goal of this assignment is to become familiar with Bezier curves. You will write a program that generates points on a Bezier curve, given the control points.
• Starter Code
The starter code can be downloaded from here.
• Task 1
First, download and get the code itself to run. The code has the following characteristics:
You can specify a file to read as a command-line argument. There is also a default set.
– 3 sample files have been included. Each one will contain 4 Bezier control points.
Reading the file is NOT included in the code. You will want to read the file yourself.
You will want to fill in two routines that are unfinished: loadFile and generatePoints. The rest of the routine should be done for you.
Note that points are stored as glm::vec3’s.
The program will display a region from [-10,10] in x, y, and z. You do not need to change anything about the display routine.
• Task 2
You are to finish the program. This involves filling in two functions (you may write additional functions if you want):
The loadFile routine. It takes in a file name and should return a vector consisting of the four control points of the curve.
– The first line will be a single number, n, giving the number of control points. Here, the curves you read will always have exactly 4 control points, so n will be 4.
– The next n lines will each contain 1 control point.
– Each line will consist of 3 values (x, y, z coordinates of the point)
– You should read in the 4 points and store them in a vector of points that is returned from the function.
The generatePoints routine. It takes in a vector that contains 4 control points. It should output a vector of points that are along the curve.
– The input will be a vector of the four control points, in order.
– You should generate a list of at least 51 points along the curve, in order, from the start of the curve (t = 0) to the end of the curve (t = 1).
You can do this by directly evaluating the polynomial function. However, to get the full credit you need to implement de Casteljau’s algorithm.
– The results should be stored in a vector of 3D points that are returned.
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• Deliverables
Please follow the instruction below or you may lose some points:
You should include a README file that includes the parts that you were not able to implement, any extra part that you have implemented, or anything else that is notable.
Your submission should contain folders “src” as well as “CMakeLists.txt” file. You should not in-clude the “build” or “DataFile” folders.
Zip up the whole package and call it “Firstname Lastname.zip”. Note that the zip file should extract into a folder named “Firstname Lastname”. So you should first put your package in a folder called “Firstname Lastname” and then zip it up.
• Ruberic
Total credit: [50 points]
[10 points] - File is read in correctly
[30 points] - Points are generated along curve correctly
[10 points] - Points are generated using de Casteljau algorithm
• Acknowlegement
The assignment is from John Keyser with slight modification.
