PART IV: Modelling, Simulation And Analysis With Python

Question 1

What are the two main types of filters?

Answer 1

Boxcar filtering

Gaussian filtering

Question 2

Boxcar filtering

Answer 2

Equal weights assigned to each sample in a set

Question 3

Gaussian filtering

Answer 3

Weights that form the shape of a bell curve

Question 4

What’s universal for filtering data about weights?

Answer 4

Weights must be normalized

Sum of all weights =1 to get back data that looks like original data

Question 5

Filtering data: endpoints

Answer 5

They require separate treatments to smooth them out and prevent noise
Tapered filter sums weights in data range to help with this

Question 6

What are some ways that filters can affect an image?

Answer 6

Blur
Sharpen
Edge-detect
Calculate gradients
Curvature
Shift
Rotate
More lol

Question 7

Common features of simulations

Answer 7

• principle set of physical laws, typically in DE form
• initial and boundary conditions specified
• derive observable/measurable quantities
• test for conservation and convergence
• want to compare with anakytic solutions where possible

Question 8

Main steps for simple simulations

Answer 8

• identify initial and boundary conditions
• determine path of object (bouncing ball, ray tracing etc)
• identify intersection point between path of object and boundary
• calculate interaction at intersection point (ex. Reflection is calculating reflected angle)
• repeat determine path until calc interaction in a loop which redefines ICs and proceeds to continue the path after first intersection point

Question 9

Particle based simulations

Answer 9

For complex models

Look at each object as a discrete particle

Question 10

Particle based simulations: what should we keep in mind?

Answer 10

All particles must have ICs
All particles must evolve through time
To speed up calcs, group/categorize them into shells or grid cells so all particles within group are affected equally
Sorted algorithms help determine interactions between one particle/group and nearest neighbours