max edge distanceSimplificationkeyFigure 4-1: A sample process for the Douglas-Peucker algorithmThe Douglas-Peucker algorithm is for the selection of representative points to simplify a curvecomposed of line segments. It uses a point-to-edge distance tolerance. The algorithm starts with a crudesimplification that is the single edge joining the first and last vertices of the original polyline. It thencomputes the perpendicular distance of all intermediate vertices to that edge. The vertex that is furthestaway from that edge, and that has a computed distance that is larger than a specified tolerance, will bemarked as a key and added to the simplification. This process will recurse for each edge in the currentsimplification until all vertices of the original polyline are within tolerance of the simplification results.This process is illustrated in Figure 4-1. (4) The following program is a non-recursive solution. Fill out the numbered blanks in the programand highlight your answers with the corresponding numbers.# Assume all points are not selected at the beginningdef DouglasPeuker_NR(points, threshold):stack = Stack () # initialize a stack# push a tuple indicating the index of the starting and ending pointstack.push((0, _®_))while note = stack.pop()ifO_:points[e[0]].selected= Truepoints[e[1]]. selected = Trueelse:maxIdx, maxDist = farthestPoint (points[_@_:,6_])maxIdx += e[0]if maxDist >= threshold:stack.push((_®_, maxIdx))stack.push((_O_, e[1]))else:points[e[0]].selected = Truepoints[e[1]].selected= True

Working of a Douglas Peuskar Algorithm

Answered: The following program is a…

The following program is a non-recursive solution. Fill out the numbered blanks in the program and highlight your answers with the corresponding numbers.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Related questions

Q: X166: nestParen Given a string, return true if it is a nesting of zero or more pairs of parentheses,…

A: Given To complete the java function public boolean nestParen(String str) { }

Q: Exercise 3 Write a recursive method that returns the sum of the first n elements of an array. Test…

A: Code public class Sum { private static int calSum(int arr[], int n) { //base or…

Q: Here is another recursion example, but with less guidance. Write a function log2(x), which gives an…

A: Program Approach:- 1. Create the user-defined function whose name is log2(x). This function takes…

Q: Use back substitution method to compute the following recursive function. Note that final results…

A: Given recursive function is, f(n)=4f(n/2)+n3 Back substitution method means substituting the f(n/2)…

Q: 4. The Area of the Target: To decide on prizes for the archery contest, you decided to use the areas…

A: Answer a. 1.14, 1.33, 1.54, 1.77, 2.00 Answer b. The mean is 1.75 and the median is 1.77. Answer c.…

Q: In the box below, write a recursive Fibonacci function that computes the Fibonacci number for input…

A: Input : n - an integer value Output : Fibonacci series from 0 to n using recursion

Q: Write a recursive function myfactorial(n) for computing the factorial of a non-negative integer.

A: Function Definition :Define a recursive function myfactorial that takes a non-negative integer n as…

Q: Write a recursive function to implement the recursive algorithm (determining the number of ways to…

A: Recursion is a computer programming process in which a function repeatedly calls itself during its…

Q: If you try to solve a problem recursively, you should apply) find a recursive call that will lead…

A: Recursion is a method of solving a problem by breaking it down into smaller and smaller pieces until…

Q: Find the Sum of the Digits of the Number Recursively Write a python program for this statement.

A: Given: Find the Sum of the Digits of the Number Recursively Write a python program for this…

Q: se the recursion to solve the following problems 1. Calculate the sum of an array of n integers.…

A: In this question we have to write the code for the recursion to solve the following problems:1.…

Q: The following problems below require the utilization of recursion to be solved. Must also have…

A: Define the function geometric_sum that takes an integer n as an argument. Check if n is equal to 0.…

Q: The following problems below require the utilization of recursion to be solved. Must also have…

A: Recursion is a programming technique where a function calls itself repeatedly until it reaches a…

Q: Given a string and a non-empty substring sub, compute recursively the largest substring which starts…

A: Algorithm --> Create a new method iwth name strDist with two argument. Now use the bleow logic…

Q: Design and implement a recursive program to determine and print the Nth line of Pascal's triangle,…

A: A recursive program to determine and print the Nth line of Pascal's triangle in C++ is given below:

Q: Which recursive sequence would produce the sequence 6,−9,21,...6,−9,21,...?

A: Hello student Greetings Hope you are doing great. Thank You!!!

Q: Consider a rectangle whose side lengths are two consecutive Fibonacci numbers. (Of course, neither…

A: The idea is to break the rectangle into a square of size Fib(n - 1) and a rectangle of size Fib(n -…

Q: Task 1 Count the number of vowels in a phrase using recursion only. You can think of this problem as…

A: import java.util.Scanner; public class CountVowels { public static void main(String[]…

Q: Write a recursive program that takes a positive integer as an input and returns the sum of the…

A: The program is completed in python. Here the input is: 45678 Output: 4+5+6+7+8 = 30

Q: Write a program that lists all ways people can line up for a photo (all permutations of a list of…

A: It will print the Julia, Lucas, Mial Julia, Mia, Lucas: Lucas, Julia, Mia Lucas, Mia, Julia Mia,…

Concept explainers

Computational Systems

The computation systems can be defined as the systems that are capable of solving a problem that includes calculations either mathematical or logical, and are able to produce the result as an output. For example, a simple calculator that is given a set of numbers and operators as input and produces the result as an output can be defined as a computational system. The above example is a simple illustration only, the computational systems range from simple devices to complex devices such as the systems that control the SpaceX companies, Starlink satellites which are being quite recently seen in the skies at many places globally.

Question

max edge distance
Simplification
key
Figure 4-1: A sample process for the Douglas-Peucker algorithm
The Douglas-Peucker algorithm is for the selection of representative points to simplify a curve
composed of line segments. It uses a point-to-edge distance tolerance. The algorithm starts with a crude
simplification that is the single edge joining the first and last vertices of the original polyline. It then
computes the perpendicular distance of all intermediate vertices to that edge. The vertex that is furthest
away from that edge, and that has a computed distance that is larger than a specified tolerance, will be
marked as a key and added to the simplification. This process will recurse for each edge in the current
simplification until all vertices of the original polyline are within tolerance of the simplification results.
This process is illustrated in Figure 4-1.

(4) The following program is a non-recursive solution. Fill out the numbered blanks in the program
and highlight your answers with the corresponding numbers.
# Assume all points are not selected at the beginning
def DouglasPeuker_NR(points, threshold):
stack = Stack () # initialize a stack
# push a tuple indicating the index of the starting and ending point
stack.push((0, _®_))
while not
e = stack.pop()
if
O_:
points[e[0]].selected
= True
points[e[1]]. selected = True
else:
maxIdx, maxDist = farthestPoint (points[_@_:,
6_])
maxIdx += e[0]
if maxDist >= threshold:
stack.push((_®_, maxIdx))
stack.push((_O_, e[1]))
else:
points[e[0]].selected = True
points[e[1]].selected
= True

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

Backtracking normally uses ______ to find out all solutions to a computational problem. (recursion, iteration).
solve q7 only please
Which of the following statement(s) is/are correct about recursion? Group of answer choices A.indication of good use of recursion: difficulty to trace down the sequence of recursive calls B.gives cleaner code but has high cost C.never be used as substitute for a simple ‘for’ loop D.bad idea to use it to evaluate simple mathematical functions. E.All of the above
The triangle.cpp ProgramDoes recursion actually work? If you run the triangle.cpp program, you’ll see that itdoes. The program uses recursion to calculate triangular numbers. Enter a value for the term number, n, and the program will display the value of the corresponding triangular number. show the triangle.cpp program
Written explaination required
IN PYTHON, Using recursion: ask the user for the length of a square and the character they want to use. Draw the square (similar to mini assignment #15 in functions part 3). Once the user creates the square with their specification, ask them if they want it to be smaller or larger and how many times. Draw all the squares growing in size to the specified range.
solve q5 only please
How do I calculate the minimum velocity and maximum height using recursion and code to ask the user to guess a minimum velocity and maximum height, which the code should use as start points
I want solution with step
I need this answer as soon as possible Write a program to find the power of a number using the recursion.
Python Question :Which of the following describes the base case in a recursive solution? Group of answer choices the way to return to the main function the case in which the problem is solved through recursion the way to stop the recursion a case in which the problem can be solved without recursion
a. Prompt the user to type a word on console and save the input into variable b. Implement recursive method(s) isPalindrome() to check if the given word is a palindrome and call it from the main(). c. Implement recursive method(s) theLength() to calculate the length of the given word (its number of characters) d. Display your results on console in the following format: "You word palindrome." consists of_ characters, this a e. Explain in comments the algorithms you use (how the recursion works, where is the base case, there is the recursive call(s), how you reduce the problem complexity).