\( \newcommand{\vecIII}[3]{\left[\begin{array}{c} #1\\#2\\#3 \end{array}\right]} \newcommand{\vecIV}[4]{\left[\begin{array}{c} #1\\#2\\#3\\#4 \end{array}\right]} \newcommand{\Choose}[2]{ { { #1 }\choose{ #2 } } } \newcommand{\vecII}[2]{\left[\begin{array}{c} #1\\#2 \end{array}\right]} \newcommand{\vecIII}[3]{\left[\begin{array}{c} #1\\#2\\#3 \end{array}\right]} \newcommand{\vecIV}[4]{\left[\begin{array}{c} #1\\#2\\#3\\#4 \end{array}\right]} \newcommand{\matIIxII}[4]{\left[ \begin{array}{cc} #1 & #2 \\ #3 & #4 \end{array}\right]} \newcommand{\matIIIxIII}[9]{\left[ \begin{array}{ccc} #1 & #2 & #3 \\ #4 & #5 & #6 \\ #7 & #8 & #9 \end{array}\right]} \)

CS 307 Hwk 3: Camera

This assignment provides practice with setting up and modifying a camera to view a scene from a desired viewpoint. There are two parts involving programming and a third part with some math exercises. None of the programs should use TW.setupCamera(); you need to set up your own camera using Three.js. (A consequence of this is that the mouse doesn't work for either program, because this was set up by TW.setupCamera() in past examples.) You will also implement keyboard callbacks for each of the two programming parts.

Setting up and Modifying a Camera

We've discussed setting up a camera. To modify a camera, you could delete it from the scene, create a new one, and render using the new one. Or, you could modify the old one. Modifying just requires one extra step, calling the updateProjectionMatrix() method: 

camera.position.set(eyex,eyey,eyez);
camera.up.set(upx,upy,upz);
camera.fov = fov;
camera.lookAt(new THREE.Vector3(atx,aty,atz));  // do this last
camera.updateProjectionMatrix();                // then add this line
render();

(The render() function must be defined, as described in the reading.)

Part 1, Setups

Here's the goal:

barnviews

When viewing this page, type any of the keys numbered 1 to 5, and a new view of the barn will appear. For this part of the assignment, use the wire barn constructed with the TW.wireBarnMesh(width, depth, height) function defined in TW. (This makes the projection easier to see). You should create a barn that is 10 units wide, 10 units high and 20 units deep, with the reference point (lower left front corner) at the origin. This is marked in white on the wire barn.

More info on TW.wireBarnMesh():

// Returns a Mesh object that shows a wireframe barn of given width
// (along the X), height (along the Y) and depth (along the Z), ready
// to add to the scene. The origin is at the front, left, bottom
// vertex. The height is the height at the "shoulders" of the barn,
// not the peak.

TW.wireBarnMesh = function (width, height, depth) {
   ...

I want you to try to duplicate my camera shape and location as closely as possible. In other words, try to analyze how things are projecting to see if you can reverse-engineer to set up a similar camera. This will help you when you are trying to achieve a particular look in your own scenes.

I'll make you some guarantees: all my numbers are nice integers, or simple calculations from nice integers. So if you get close, you'll likely be exactly on. I also didn't modify the aspect ratio, and the distance to the near and far planes are such that everything is visible. You only have to worry about the FOVY (field of view in the Y direction) and the arguments to position the camera.

The FOVY may change from scene to scene!

As noted earlier, my program defines the following keyboard callbacks and scenes; yours must too (i.e. you should determine what the camera settings are when you enter each of the integers from 1 to 5, and try to duplicate this as closely as possible in your own code).

  • 1
  • 2
  • 3    Note, this one is tricky. It's helpful to know that the "height" argument of the TW.wireBarnMesh() is the height at the "shoulders" of the barn, not the peak. You can look at the definition of the TW.wireBarnMesh() function for more information: TW-sp25.js
  • 4
  • 5

Plan to use TW.wireBarnMesh(10,10,20) to make your barn and add it to the scene. That's in the starter code.

Note that in the demo above, the text at the top of the page changes as different keys are typed. The HTML element for this text has an id of "slidename". You can alter the text in this element with a JavaScript statement like this:

document.getElementById('slidename').innerHTML = "Slide 1";

Implement this as hwk3-barnviews.html and place it in your cs307-assignments folder.

Getting Started

I've implemented a wire barn in TW. You can see it in action in this example of a wirebarn. You'll notice that I changed the background color to black; I think it's easier to see the lines against a black background.

You can copy it as follows:

cd ~/public_html/cs307-assignments
cp -r ~cs307/demos/BasicModeling/wirebarn/ barnviews
opendir flythrough

Part 2, Flythrough

Here's the goal:

flythrough

The idea is that you'll create N frames of an animation of a plane landing near the barn. I used a field of view of 90 degrees. Here I used N=10, assigned to keys 0-9, but if you find a pattern, you'll see that you can easily generate as many frames as you like.

You should use the following scene as your starter code:

cd ~/public_html/cs307-assignments/
cp -r ~cs307/demos/BasicModeling/house-fence flythrough
opendir flythrough

Please read the standard instructions for all assignments

Grade sheet

TW.setKeyboardCallback()

You should plan to use TW.setKeyboardCallback() for both Part 1 and Part 2. This function takes three arguments, like this: 

    TW.setKeyboardCallback("1", fred, "camera setup 1");

  • The first argument is a one-character string that defines the key you want to bind.
  • The second argument is a function object. The system will invoke that function when the key is pressed. Remember that if you give the name of a function, like fred, you will omit the parentheses, because you are not invoking fred now, the system will be invoking it later.
  • The third argument is the documentation string that is displayed if the user presses the question mark key (?) to show the available keyboard callbacks.
  • There is an optional fourth argument that is a boolean that indicates whether to set this callback in a master list of shared callbacks, or set it in a local list just for this canvas. The default is false, which is just for this canvas, which is what you'll want for this assignment.

You should set up keyboard callbacks after the canvas exists, which is done by TW.mainInit(). For more information on the use of keyboard callbacks, see this earlier reading.

Math

Copy this Google Doc and solve the problems in it: Math 3

Please download your finished document as PDF and upload to Gradescope. Please don't change the pagination: 1 page per question is the format; you solutions might well be much shorter.