Because I squared, I multiplied the second derivative of y with respect I multiplied it times itself.

If pixels are negative, we just ignore the negative sign and map back to the absolute value.

No? Nonlinear equations?

How about our Gaussian kernel that we discussed in class of size 5 by 5?

First is our gradient kernel here minus 1, 1.

These are the x values, these are y values.

Now the second thing we have to figure out is this linear or is this a non linear differential equation?

We talked about the gradient magnitude kernel, which was defined over a square root of the squares of the image gradients.

And hopefully it will recognize that that is a car.

You have your order, so what is the order of my differential equation?

It's ordinary, because we only have a regular derivative, no partial derivatives here.

We forget premeditated murder.

And of course, at Ground Zero what else?

liter

linear

lightyears

Linear

So the strategy here is this is actually a CT scan, an X ray and we go layer by layer, using computerized morphometric imaging analysis and 3D reconstruction to get right down to those patient's own kidneys.

But you say, well, trapezoid I can break that up into a rectangle and a triangle.

Linear Sweep

Y linear

Linear Scale

Now, all of the sudden, I have a non linear differential equation.

Then take the absolute value of each pixel, so you're going to ignore the minus sign, which is clearly an nonlinear operation.

Line art

Line Art

Whenever you see young people in front of the row trying to fraternize with the police or military, somebody was thinking about it before.

She didn't plan it.

A faultless plan is stifling, isn't it.

I want to execute the plan by all means.

This answer is not at all trivial, and I don't blame you if you get it wrong.

Please check if it's linear or nonlinear.

We have an imager of a certain size and like to calculate just the average brightness of all the individual image pixels.

We also learned about planning in particular, breadth first planning,

We'll begin with the fundamentals of image formation, because it's important to understand both the geometry and radiometry of image formation.

If they're not, then we're dealing with a non linear function.

Obviously, it's impossible to put a line through the data points over here.

Another example of a non linear equation is if I wrote y times the second derivative of y with respect to x is equal to sine of x.

There clearly is a data fit that is not linear that might be better, like this one over here.

So unity is a big thing. And this can be achieved.

Once again, we have a case where we can play Occam's razor.

Linear

Linger after solving

Linear motion

To sum up, whatever we see on the screen is in this nonlinear gamma space.