In the marching squares algorithm, we chose one of two possible ways to connect vertices in the…

In the marching squares algorithm, we chose one of two possible ways to connect vertices in the case where the signs at the corner of a grid square alternated; the choice we made was independent of the values at the four corners.

(a) Explain why, if we drew a diagonal from the northeast to the southwest corner of each grid square, and treated the resultant collection of triangles as a mesh with values at vertices, the piecewise-linear interpolation of those values has a graph whose level-zero slice is consistent with our choice.

(b) Explain why, if we’d chosen the alternate diagonal for each grid square, it would be equivalent to making the other choice.

(c) Devise an algorithm in which we add a new vertex to the center of each grid square, with edges from this vertex to the four corners, and we assign a value to the new vertex that’s the average of the four corner values. Use this new mesh (and these new values) to generate an isocurve for the piecewise linearly interpolated function. (Your new isocurve will have vertices both on the original grid edges and on the new edges you added from each center vertex to the corners.

(d) Explain how this revised approach can lead to either of the two possible ways of connecting the edge vertices in the + − +− case.

Place your order
(550 words)

Approximate price: $22

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
$26
The price is based on these factors:
Academic level
Number of pages
Urgency
Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read more

Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read more

Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read more

Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read more

Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more
error: Content is protected !!