Transforming a three-dimensional point on a sphere into UV coordinates

I'm trying to convert a 3D point on a sphere into a UV point on the sphere's texture. Can someone provide guidance or a pure math solution?

Edit:

Currently, I have this code snippet, but it doesn't give the correct UV coordinate.

Here, p represents the 3D point on the sphere, and mesh.position is the position of the sphere.


var x = (p.x - mesh.position.x) / 500;
var y = (p.y - mesh.position.y) / 500;
var z = (p.z - mesh.position.z) / 500;                  

var u = Math.atan2(x, z) / (2 * Math.PI) + 0.5;
var v = Math.asin(y) / Math.PI + 0.5;

Answer №1

While the Wikipedia entry on UV mapping is accurate, it's important to note that calculating the UV coordinates for each vertex of the mesh is necessary. From there, the UV coordinates must be converted to pixel coordinates. For more information on perfect 3D texture mapping in OpenGL, check out this resource. Another example can be found at this link. Additionally, experimenting with three.js may also prove beneficial. Remember to physically replicate the UV triangle as well.

Answer №2

Recently stumbled upon this interesting wiki article about UV mapping: http://en.wikipedia.org/wiki/UV_mapping. They use a sphere as their example in the explanation.

Sharing in case it proves helpful to you.

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

Exploring jQuery's Array Iteration Feature

Is there a way to create Custom Lists with a User-Friendly approach? For example: var unitA = []; unitA[0] = "Unit A One"; unitA[1] = "Unit A Two"; unitA[2] = "Unit A Three"; var unitB = []; unitB[0] = "Unit B One"; unitB[1] = "Unit B Two"; unitB[2] = " ...

What is the process of retrieving the converted value from a response using jquery's ajax method?

I have been utilizing the following link: freecurrencyconverterapi in order to retrieve the converted value from USD to INR. If you inspect the developer mode of your browser, you'll notice that the response is {"USD_INR":64.857002}. Since ...

Utilizing Local Storage in Vuex Store with Vue.js

I have been working with localStorage for storing and retrieving items in my JavaScript code housed within a .vue file. However, I am now looking to find a way to transfer this stored data into my Vuex store, specifically within the mutations section locat ...

Certain sections within a Formik form are failing to update as intended

I have successfully implemented a custom TextField wrapper for Material-UI fields, but I am facing an issue with native Material UI fields not updating the form data upon submission. Below is the relevant code snippet along with a link to a code sandbox d ...

Navigating through different sections of your Angular app can be easily accomplished using

My current project structure is set up like this: The application I am working on is hosted in a subdirectory called /my-scripts/vk.plants. This means that when I request this URL, it loads layout.html and returns it to the user. layout.html contains the ...

Using Jquery to increase input values in multiples on keyup event

Is there a way to ensure that an input element only accepts numbers in increments of 50? While we know we can use the step="50" attribute, is it possible to achieve this using the keyup event instead? I came across this code that restricts users from inp ...

Failure encountered when attempting to load JSON data into datalist

I've been trying to incorporate inputs into a datalist in two different ways. However, I've encountered an issue with the first method not working properly. --> Check it out on bootlply var dataList = document.getElementById('json-datal ...

Encountered a TypeError in React 16.7: The function (0, _react.useState) is not recognized

Error: TypeError: (0 , _react.useState) is not a function React versions currently being used: "react": "^16.7", "react-dom": "^16.7", File src/App.js: import {memo, useState} from 'react' export default memo(() => { useS ...

Changing the color of the timePicker clock in material-ui: a step-by-step guide

I have been attempting to update the color of the time clock in my timeInput component (material-ui-time-picker) for material-ui, but unfortunately, it is not reflecting the change. Here is the code I am using: <TimeInput style ={heure} ...

SimpleLightBox refuses to function

Having trouble getting SimpleLightBox to work properly? It seems like when you click on an image, it opens as a regular image on a blank page. I've added the JS and CSS files correctly (I double-checked in the source code) and included the HTML and JS ...

Establishing the reference frame for rendering in OpenGL

Upon diving into the initial chapters of the Blue book, I discovered the power of the projection matrix in transforming our desired coordinate system to real screen coordinates. By utilizing this matrix, we are able to reset the coordinate system and adjus ...

What are some ways in which I can utilize the Ember Handlebars helper?

Similar Question: Using logical operators in a Handlebars.js {{#if}} statement Below is the code snippet provided: {{#each dataArray}} <li>{{#isTrue idVal1 idVal2}} display some text1 {{else}} display some text2 {{/isTrue}} & ...

Find all objects in an array that have a date property greater than today's date and return them

I have an array of objects with a property called createdDate stored as a string. I need to filter out all objects where the createdDate is greater than or equal to today's date. How can this be achieved in typescript/javascript? notMyScrims: Sc ...

Corporate firewall causing issues with AJAX call execution

Currently, I am utilizing jQuery's $.ajax() method to retrieve approximately 26KB of JSONP data. All major browsers including FF, Chrome, IE, and Safari are successfully returning the data from various locations such as work, home, and mobile phone w ...

Sometimes the downloaded xlsx file may become corrupted

Currently, I am working on developing a project using Angular4 with Typescript. One of the tasks involved creating a blob utilizing the XLSX-populate library. Below is an example showing the code snippet for generating a valid xlsx object: var url = wind ...

What is the best way to conceal an element by clicking anywhere other than on the element itself?

Currently, I am utilizing jQuery's toggle method to display or hide a page element when another specific page element is clicked. jQuery('a#mobile-search-icon).click(function(){ jQuery('#searchBox').toggle('slow'); }); ...

Guide on exploring a virtual environment in first-person perspective using Three.JS

I successfully created a basic cube in Three.JS, and now I'm trying to use PointerLockControls.js to lock the mouse and allow for looking around the scene. Although I've managed to hide the cursor with this script, I am unsure of how to implement ...

What sets array of middlewares apart from compose-middleware?

Someone recommended that I utilize the compose-middleware module in order to have an array of middlewares. After trying it out, I discovered that it works seamlessly with express.js: router.post('/editPassword', doAction ); var doAction = [ ...

PHP Dropdown List - Default option should be set to "all" (or "Alle")

My website displays data to users based on the State they reside in, with a filter provided through a drop-down list allowing them to select any specific State or view data from all States. Currently, the default selection shows the user data from their ow ...

Generating images with HTML canvas only occurs once before stopping

I successfully implemented an image generation button using Nextjs and the HTML canvas element. The functionality works almost flawlessly - when a user clicks the "Generate Image" button, it creates an image containing smaller images with labels underneath ...