Geometry processing

Surface fairing

In mathematics, Surface fairing is an aspect of mesh smoothing. The goal of surface fairing is to compute shapes that are as smooth as possible. On an abstract level, mesh smoothing is concerned with the design and computation of smooth functions on a triangle mesh. Mesh fairing does not just slightly smooth the function in order to remove the high frequency noise. It also smooths the function as much as possible in order to obtain, e.g., an as-smooth-as-possible surface patch or an as-smooth-as-possible shape deformation. How to actually measure smoothness or fairness obviously depends on the application, but in general fair surfaces should follow the principle of simplest shape: the surface should be free of any unnecessary details or oscillations. This can be modeled by a suitable energy that penalizes unaesthetic behavior of the surface. A minimization of this fairness energy—subject to user-defined constraints—eventually yields the desired shape. Example applications include the construction of smooth blend surfaces and hole filling by smooth patches. (Wikipedia).

Video thumbnail

What Is Surface Anatomy?

In the first mini-lecture, we ask the question: what is surface anatomy? We learn how anatomy is the study of the structure of our bodies, including osteology, histology, gross anatomy, imaging, embryology and indeed surface anatomy. As you might imagine, surface anatomy studies the extern

From playlist Biology

Video thumbnail

Confessions of a surface plate abuser

In this video we make a round cast iron sanding plate for detailing machined parts out of an off cut disc of cast iron. Contrary to popular shop practice using a precision surface plate for sanding parts on is detrimental to its accuracy. This simple to build plate will save your surface p

From playlist Mechanics

Video thumbnail

Lecture 14: Discrete Surfaces (Discrete Differential Geometry)

Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS For more information see http://geometry.cs.cmu.edu/ddg

From playlist Discrete Differential Geometry - CMU 15-458/858

Video thumbnail

MATH331: Riemann Surfaces - part 1

We define what a Riemann Surface is. We show that PP^1 is a Riemann surface an then interpret our crazy looking conditions from a previous video about "holomorphicity at infinity" as coming from the definition of a Riemann Surface.

From playlist The Riemann Sphere

Video thumbnail

Cylindrical Surfaces

This video defines a cylindrical surface and explains how to graph a cylindrical surface. http://mathispower4u.yolasite.com/

From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates

Video thumbnail

THE MAKING(English Version) (314)The Making of Steel Balls

This edition of the series of programs explaining the technology used to produce items that are familiar in our daily life features ‘Steel Balls’. A bicycle wheel spins smoothly because the wheel axle contains ball bearings. The steel balls inside the ball bearing must be close to perfectl

From playlist Engineering

Video thumbnail

Asymmetric Nose-Fairing for Wing-Body Junction by Chandan Kumar

DISCUSSION MEETING : FLUIDS DAY ORGANIZERS: Rama Govindarajan, Samriddhi Sankar Ray and Gaurav Tomar DATE : 20 January 2020 VENUE: Ramanujan Lecture Hall, ICTS Bangalore The fluid mechanics community in Bangalore has expanded enormously with different physics and engineering departments

From playlist Fluids Day 2020

Video thumbnail

Raytracing Day 1

Broadcasted live on Twitch -- Watch live at https://www.twitch.tv/simuleios

From playlist Misc

Video thumbnail

Fair Dice (Part 2) - Numberphile

Probability expert Professor Persi Diaconis (Stanford University) talking about dice. More links & stuff in full description below ↓↓↓ Part 1: https://youtu.be/G7zT9MljJ3Y More dice videos: http://bit.ly/Dice_Videos More Persi Diaconi videos: http://bit.ly/Persi_Videos Diaconis/Keller pa

From playlist Persi Diaconis on Numberphile

Video thumbnail

Thinking in Causation - Level 2 - Testing Causes

Thinking Slides: https://docs.google.com/presentation/d/188Hq52CBNUAOuCS5rXYMtD9tY6LPjFl1hcodejlWPJc/template/preview The Wonder of Science: https://thewonderofscience.com/mlccc22 In this video Paul Andersen shows conceptual thinking in a mini-lesson on testing causes. Two examples are

From playlist Conceptual Thinking Mini-Lessons

Video thumbnail

In How Many Ways Can an Algorithm be Fair? - Suchana Seth

Recent research in machine learning has thrown up some interesting measures of algorithmic fairness – the different ways that a predictive algorithm can be fair in its outcome. In this talk, Suchana Seth will explore what these measures of fairness imply for technology policy and regulat

From playlist Turing Seminars

Video thumbnail

How a Jet Airliner Works

Take a thorough look inside a modern jet passenger aircraft. Electronics, hydraulics, flight control surfaces, fuel system, water and waste, lighting, and more! How a Jet Engine Works: https://www.youtube.com/watch?v=L24Wf0VlTE0 CREDITS Jacob O'Neal - Modeling, animation, texturing, vfx,

From playlist Aviation - Animagraffs

Video thumbnail

Could the Loch Ness Monster be a Plesiosaur?

Today we finally finish up Loch Ness by speculating what the monster could be if I am completely wrong about it's apparent non-existence. I talk largely about plesiosaurs and leeches... so I hope you enjoy ;) All copyrighted footage and images in this video are protected under FAIR USE fo

From playlist Did dinosaurs and humans live together?

Video thumbnail

JPL and the Space Age: Sky High

Think "NASA," and what comes to mind? Astronauts? Mars rovers? Voyager and the Golden Record? How about Earth? In fact, NASA has been studying and monitoring the health of our home planet for decades, using balloons, aircraft, satellites, and even the International Space Station in the e

From playlist Earth

Video thumbnail

K-theory and actions on Euclidean retracts – Arthur Bartels – ICM2018

Topology Invited Lecture 6.8 K-theory and actions on Euclidean retracts Arthur Bartels Abstract: This note surveys axiomatic results for the Farrell–Jones Conjecture in terms of actions on Euclidean retracts and applications of these to GL_n(ℤ), relative hyperbolic groups and mapping cla

From playlist Topology

Video thumbnail

EEVblog #1047 - Solar Roadways FINALLY BUSTED! (Colas Wattway)

Dave finally puts an end to the idea of Solar Roadways. We have the test results of the world's biggest solar roadways project, the 1km long 336kW Colas Wattway project in Tourouvre France. Stand in awe at how impractical and expensive it is!, and SPOILER, how it won't usher in a new era

From playlist Solar Roadways

Related pages

Smoothing | Function (mathematics) | Smoothness