Computer graphics algorithms | Mesh generation

Marching cubes

Marching cubes is a computer graphics algorithm, published in the 1987 SIGGRAPH proceedings by Lorensen and Cline, for extracting a polygonal mesh of an isosurface from a three-dimensional discrete scalar field (the elements of which are sometimes called voxels). The applications of this algorithm are mainly concerned with medical visualizations such as CT and MRI scan data images, and special effects or 3-D modelling with what is usually called metaballs or other metasurfaces. The marching cubes algorithm is meant to be used for 3-D; the 2-D version of this algorithm is called the marching squares algorithm. (Wikipedia).

Marching cubes
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Root 2 and the deadly Marching Squares

Witness how some marching squares destroy square root of 2's hope to be a rational number. A mathematical story with some killer twists and turns you'll never see coming. Enjoy!

From playlist Recent videos

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"Cube" Cube

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/L5R

From playlist 3D printing

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How to Make 3D Fractals

This is a brief introduction to how ray marching works and how it is used to generate amazing real-time 3D fractals. I uploaded the source code so you can give it a try yourself! Source code: https://github.com/HackerPoet/PySpace Ray marching tutorial: http://blog.hvidtfeldts.net/index.

From playlist Fractals & Math

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How Computers Draw Weird Shapes (Marching Squares)

In this video, we start with an interesting animation of blobby objects which we introduce as metaballs. There's a lot of surprisingly intricate ideas behind making these objects render on a screen. We'll see how folks in computer graphics attempted to solve this problem through a really e

From playlist Computer Graphics

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Coding in the Cabana 5: Marching Squares

In the fifth episode of Coding in the Cabana, Gloria Pickle and I investigate the Marching Squares algorithm and apply it to Open Simplex Noise in Processing. 💻 https://thecodingtrain.com/challenges/coding-in-the-cabana/005-marching-squares.html 🔗 Marching cubes: A high resolution 3D sur

From playlist Coding in the Cabana

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A Strange Fact About Cubes & Squares

It's the little things that matter the most. ❤️ ❤️ ❤️ Support the channel ❤️ ❤️ ❤️ https://www.youtube.com/channel/UCf89Gd0FuNUdWv8FlSS7lqQ/join

From playlist Algebra - Beginner to Master

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Cubic Close Packing Cube

http://demonstrations.wolfram.com/CubicClosePackingCube/ The Wolfram Demonstration Project contains thousands of free interactive visualizations with new entries added daily. Close-packed layers of spheres can be stacked to form a cubic close packing by shifting every second layer. M

From playlist Wolfram Demonstrations Project

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What is the Cube of a Number? | Don't Memorise

To learn more about Cube and Cube Roots, enrol in our full course now: https://bit.ly/CubesAndCubeRoots In this video, we will learn: 0:00 Introduction 0:12 cube of a number 0:37 applications of a cube of a number 2:21 sign of the cube of the number is the same as the sign of the number

From playlist Cubes and Cube roots Class 08

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Algebra - Ch. 6: Factoring (53 of 55) How to factor the difference of cubes?

Visit http://ilectureonline.com for more math and science lectures! In this video I will show example 1 of 3 of factoring x^3-8 using the Difference of Cubes Method. To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 . Next video in this series can be

From playlist THE "HOW TO" PLAYLIST

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Live Coding:Bending Light

In this video we'll look at refraction: the bending of light as it moves from one medium to another. ========== Social Media Links ========== Twitter: @The_ArtOfCode Facebook: https://www.facebook.com/groups/theartofcode/ Patreon: https://www.patreon.com/TheArtOfCode ShaderToy: https:/

From playlist Shader Coding

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Writing a ray marcher in Unity

In this video we'll code a ray marcher inside of a shader in Unity that allows you to render 3d objects on the surface of other 3d objects, like a hologram! Twitter: @The_ArtOfCode Facebook: https://www.facebook.com/groups/theartofcode/ Patreon: https://www.patreon.com/TheArtOfCode Shader

From playlist Unity Tutorials

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Non-euclidean virtual reality using ray marching

Non-euclidean virtual reality using ray marching Try out the simulation at http://michaelwoodard.net/hypVR-Ray The code is available at https://github.com/mtwoodard/hypVR-Ray Joint work with Roice Nelson and Michael Woodard. This video demonstrates a virtual reality simulation of a non

From playlist GPU shaders

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The Coding Train Morning Show: Marching Squares and Flocking Mewchoo

Notion now comes with a free personal plan, learn more here: https://bit.ly/notioncodingtrain Discussing Marching Squares and Marching Cubes, community contributions! Also, revisiting my Blender "Mewchoo" model and importing into Processing. 0:00 Live Stream Starts 3:40 Introduction 12:1

From playlist Live Stream Archive

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I visualized 4D shapes #SoME2

#some2 Articles about computer graphics: https://iquilezles.org/ Ray marching tutorials: https://www.youtube.com/c/TheArtofCodeIsCool In this video I am trying to construct a visualization of 4D shapes

From playlist Summer of Math Exposition 2 videos

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Shader Coding: Ray Marching Tips & Tricks

Twitter: @The_ArtOfCode Facebook: https://www.facebook.com/groups/theartofcode/ Patreon: https://www.patreon.com/TheArtOfCode ShaderToy: https://www.shadertoy.com/user/BigWIngs PayPal Donation: https://paypal.me/theartofcode Shader starting point: https://www.shadertoy.com/view/wdGGz3 Sh

From playlist Shader Coding

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Combined First-Principles and Classical Modeling of hBN-Water Interfaces... Ashutosh Kumar Verma

DISCUSSION MEETING : APS SATELLITE MEETING AT ICTS ORGANIZERS : Ranjini Bandyopadhyay (RRI, India), Subhro Bhattacharjee (ICTS-TIFR, India), Arindam Ghosh (IISc, India), Shobhana Narasimhan (JNCASR, India) and Sumantra Sarkar (IISc, India) DATE & TIME: 15 March 2022 to 18 March 2022 VEN

From playlist APS Satellite Meeting at ICTS-2022

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Regular polyhedra

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/q0PF.

From playlist 3D printing

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Advent of Code 2021 - Day 22 - Rust Programming

Programming Puzzle Website for #AdventOfCode : https://adventofcode.com/2021 I will stream as many of these as I can on https://www.twitch.tv/unclescientist using the Rust programming language Meanwhile here is part 1 of my solution for Day 22 of Advent of Code 2021. I started working on

From playlist Advent of Code

Related pages

Trilinear interpolation | Metaballs | Scalar field | Reconstruction filter | Surface triangulation | Marching tetrahedra | Image-based meshing | Voxel | Linear interpolation | Gradient | Marching squares | Algorithm | Isosurface