JavaScript code: Determine if a set of x/y points represents a circular shape

I have a matrix in the format below. I am looking for help to identify the outline that forms a circle:

EDIT 1: What about the outline? The outline should not include spaces (each y-value should have at least 2 x-values).

EDIT 2: What is considered a circle? I am searching for circles that are relatively precise, similar to the example provided below! (consistently maintaining radius)

    // Matrix representation
    00000000000000000000000000000000
    00000000000001111111100000000000
    ...
    00000000000000000000000000000000

In addition, I have an array containing all positions of the outline:

var coordinates = [
  [13,1],[14,1],[15,1], ... ,[20,22]
]

What's the best method to determine if these coordinates form a circular shape?

Initially, I attempted using this code snippet but I believe there might be a more efficient solution:

var circle = [[13,1],[14,1],[15,1], ... ,[20,22]];

var no_circle= [[13,1],[14,1],[25,4]];

Array.prototype.is_circle = function() {
// Code logic for determining a circle
}

var result1 = circle.is_circle();
console.log(result1)

var result2 = no_circle.is_circle();
console.log(result2)

Answer №1

It appears that your algorithm focuses on only the four most distant points along the X and Y axes. I believe that if you input points forming a square shape, it will still meet the requirements for the is_circle test.

My suggestion is to conduct a two-step evaluation with an additional parameter known as the roundness margin, denoted by e. First, traverse through the entire point set and keep track of x_min, y_min, x_max, and y_max. Next, ensure that the difference between the Delta X and Delta Y falls within the error threshold, such as

abs((x_max-x_min) - (y_max-y_min)) <= e
. This step evaluates the roundness of the shape to distinguish between a circle and an oval. If this assessment passes, proceed to calculate the center point c at coordinates
(x_c, y_c) = (x_min+(x_max-x_min)/2, y_min+(y_max-y_min)/2)
. Then, for each point, determine if the radius (distance from the point to the center c) is within the error margin e. To optimize efficiency, initially confirm if the squared radius of each point aligns with the error boundary, indicated by
abs((x-x_c)^2 + (y-y_c)^2 - r^2) <= e
, where r^2 is calculated using the center c and the initial point in the sequence.

Similar questions

If you have not found the answer to your question or you are interested in this topic, then look at other similar questions below or use the search

What is the best way to display an HTML page located in a subfolder with its own unique stylesheets and scripts using Express and Node?

I am looking to display an HTML page that is located within a subfolder along with its own unique style-sheets and scripts. I am using Express and Node for this purpose, and have already acquired a separate login page that I would like to render in a sim ...

ChartJS v2: Displaying scale value based on click coordinates for time scale

I am having an issue with a time-based line chart where I am trying to retrieve the values for each scale at the click coordinates. In my ChartJS options, I have defined an onClick function: onClick: function(event, elementsAtEvent) { console.log(eve ...

Utilizing a foundational element to automatically unsubscribe from multiple observable subscriptions

Within our Angular application, we have implemented a unique concept using a Base Component to manage observable subscriptions throughout the entire app. When a component subscribes to an observable, it must extend the Base Component. This approach ensures ...

Transferring the values of JavaScript objects to HTML as strings

My goal is to generate HTML elements based on the values of specific JavaScript objects that are not global variables. However, when attempting to execute the code below, I encounter an error stating "params is not defined." What I actually aim to achieve ...

Is there a way to download and store the PDF file created using html2pdf in Node.js on my local machine?

I have successfully generated a PDF using html2pdf, but now I want to either send it to my server in Node.js or save it directly onto the server. Currently, the PDF is downloaded at the client's specified path, but I also need a copy saved on my serve ...

Would it be unwise to create a link to a database directly from the client?

If I want to connect my React app to Snowflake all client-side, are there any potential issues? This web app is not public-facing and can only be accessed by being part of our VPN network. I came across this Stack Overflow discussion about making API cal ...

Save JSON Tree data in the Database

Given a tree structure JSON, I am tasked with creating an API to insert all the data into a database at once. The organization entities can have multiple parents and children relationships. An example of the JSON data: { "org_name": "orga ...

Taking steps when a number is enclosed within a span

Testing a simple code with similar action to what I want. Apologies for any language errors, hoping to be understood :-) The HTML code snippet: <div class="pagination"> <a href="#" class=""><span>1</span></a> <a href=" ...

Enhance design based on scrolling function in React

I've been trying to update the color of my header when a user scrolls the page, but for some reason, my onScroll method isn't working. Can anyone help me figure out why and how to solve this issue? The onScroll method is triggered by the bottom T ...

Angular is reporting that the check-in component is nonexistent

I encountered an error in my Angular 8 application while working on a component. The error seems to be related to nested components within the main component. It appears that if the component is empty, the error will be shown, but if it's not null, th ...

Having trouble utilizing props with Vue axios? Running into an undefined error? Unsure how to properly use props with axios?

https://i.stack.imgur.com/QfCDG.png There seems to be an issue with my saveComment() function in CommentList.vue. It can't find the comments' post_id and causes this error: CommentList.vue?6c27:107 Uncaught TypeError: Cannot read properties of u ...

Dynamic content display using AJAX

Having already tried to find a solution through Google with no success, I am at a loss. I have articles where a paragraph is initially displayed, followed by a "read more" link which reveals more content using JavaScript. However, this approach may slow do ...

Are trailing commas or missing keys acceptable in JavaScript object notation?

I have created a code generator and I am contemplating whether or not to address the issue of the extra comma at the end. While Internet Explorer seems to ignore it, I want to ensure cross-browser compatibility and generate valid code. function init() { v ...

Trouble with setInterval not refreshing the HTML element

I'm currently working on a script that should update the value of an element every second. However, I've encountered an issue where the element only updates the first time and then stops. Strangely, there are no errors appearing in the console ei ...

Avoid running old JavaScript code when using turbolinks in conjunction with highcharts library, specifically LazyHighCharts

Utilizing turbolinks 5 and rails version 5, along with the latest Highcharts has been causing me some issues. T LazyHighCharts offers a solution for Turbolinks 5 by encapsulating chart building javascript within (function() { document.addEventListe ...

I'm having trouble adding a background image, even though I have set it to static. What could be

I attempted to add a background image to my Django website, but unfortunately, it was not successful. I followed the steps provided in this Stack Overflow answer here, however, it did not work. I even made changes to the database by migrating them, but s ...

Sending data from the server to the client in MVC using C#

I sent a token from a View to a function in my HomeController, and now I need to process the token and send back the information to the frontend. I assumed that the resultData returned by the ajax call would be the output of GetMyData, but it turns out it& ...

What is the best way to test a try/catch block within a useEffect hook?

Hey, I'm currently dealing with the following code snippet: useEffect(() => { try { if (prop1 && prop2) { callThisFunction() } else { callThatFunction() } ...

What is the best way to eliminate the final character from a series of repeated Xs and following strings

Data consists of [one][two][three]. I want to exclude the last set of brackets and have a result like [one][two]. How can this be achieved using jQuery? ...

Problematic Angular 6 Lazy Loading Situation

Below is the code snippet I am using for lazy loading: const routes: Routes = [ { path: '', redirectTo: '/home', pathMatch: 'full' }, { path: 'home', component: HomeComponent }, { path: 'manager', lo ...