## Determine relevancy and relative position of two polygons, Data Structure & Algorithms

Assignment Help:

Comparison Techniques

There are several techniques for determining the relevancy and relative position of two polygons. Not all tests may be used with all hidden-surface algorithms, and some of the are not always conclusive. Sometimes we can use simple tests for many of the cases and resort to more costly tests only when all else fails.

One technique that is often useful is called the minimax test or boxing test. This test checks if two polygons overlap. The test provides a quick method to determine if two polygons do not overlap. It surrounds each polygon with a box by finding its extents (minimum and maximum x and y coordinates) and then checks for the intersection for any two boxes in both the X and Y directions. If two boxes do not intersect, their corresponding polygons do not overlap. In such a case, no further testing of the edges of the polygons is required.

If the minimax test fails (two boxes intersect), the two polygons may or may not overlap, as shown in Figure 3.10. Each edge of one polygon is compared against all the edges of the other polygon to detect intersections. The minimax test can be applied first to any two edges to speed up this process.

The minimax test can be applied in the Z direction to check if there is no overlap in this direction. In all tests, finding the extents themselves is the most critical part of the test. Typically, this can be achieved by iterating through the list of vertex coordinates of each polygon and recording the largest and the smallest values for each coordinate. #### frequenty count of function, Ask question find frequency count of function...

Ask question find frequency count of function- {for(i=1;i {for(j=1;j {for(k=1;k } } }

#### What is Polyphase Sort, One of the best known methods for external sorting ...

One of the best known methods for external sorting on tapes is the polyphase sort. Principle: The basic strategy of this sort is to distribute ordered initial runs of predetermi

#### Signals, How does cpu''s part tming and controls generate and controls sign...

How does cpu''s part tming and controls generate and controls signls in computer?

#### Arithmetic expression, How to convert infix postfix and prefix??

How to convert infix postfix and prefix??

#### DAA, what do we use asymptotic notation in study of algorithm?Describe vari...

what do we use asymptotic notation in study of algorithm?Describe various asymptotic notation and give their significance.

#### Algorithm for similar binary tree, Q. The two Binary Trees are said to be s...

Q. The two Binary Trees are said to be similar if they are both empty or if they are both non- empty and left and right sub trees are similar. Write down an algorithm to determine

#### Illustrate the intervals in mathematics, Illustrate the intervals in mathem...

Illustrate the intervals in mathematics Carrier set of a Range of T is the set of all sets of values v ∈ T such that for some start value s ∈ T and end value e ∈ T, either s ≤

#### space, What is Space complexity of an algorithm? Explain

What is Space complexity of an algorithm? Explain.

#### Importance of game theory to decisions, Question: (a) Discuss the impor...

Question: (a) Discuss the importance of game theory to decisions. (b) Explain the following: (i) saddle point, (ii) two-person zero-sum game. (c) Two leading ?rms, ABC Ltd a

#### Algorithm.., write an algorithm to sort given numbers in ascending order us...

write an algorithm to sort given numbers in ascending order using bubble sort

### Write Your Message!  #### Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!