Computer graphics data structures

Least squares conformal map

A Least squares conformal map (LSCM) is a 2-D representation of a 3-D shape created using the Least Squares Conformal Mapping Method. By using the map as a guide when creating a new 2-D image, the colors of the 2-D image can be applied to the original 3-D model. LSCM is used in computer graphics as a method of producing a UV map from a polygonal mesh to a texture map such that the shape of the polygons as mapped to the texture is relatively undistorted. (Wikipedia).

Video thumbnail

Schwarz-Christoffel Mappings and The Koch Snowflake | Nathan Dalaklis

Last time we talked about Conformal Mappings, but we didn't really give any specific examples. This episode is dedicated to producing a few of them that fall into the category of Schwarz-Christoffel Mappings. Being a bit handwavy, we'll look at the general form of a Schwarz-Christoffel map

From playlist The First CHALKboard

Video thumbnail

Basic Drawing: 3pt. Cityscape #8

Continuing...

From playlist THE BASICS

Video thumbnail

Using a set of points determine if the figure is a parallelogram using the midpoint formula

👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr

From playlist Quadrilaterals on a Coordinate Plane

Video thumbnail

Difference of squares formula

Visual explanation of the difference of squares formula from math class. #shorts #math #maths #mathematics The Difference - The Wallflowers https://youtu.be/5qSAMtomFvk

From playlist Math Shorts

Video thumbnail

Determine if a set of points is a parallelogram using the distance formula

👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr

From playlist Quadrilaterals on a Coordinate Plane

Video thumbnail

Determining if a set of points makes a parallelogram or not

👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr

From playlist Quadrilaterals on a Coordinate Plane

Video thumbnail

Perpendicular Bisector of a Line Segment and Triangle

This geometry video tutorial provides a basic introduction into the perpendicular bisector of a line segment and a triangle. it discusses the perpendicular bisector theorem and the definition of perpendicular bisectors in addition to how to use them in a geometry two column proof problem

From playlist Geometry Video Playlist

Video thumbnail

Geometry - Basic Terminology (23 of 36) Rectangular Solids

Visit http://ilectureonline.com for more math and science lectures! In this video I will define the diagonal of the solid and diagonal of the bottom of a rectangular solid. Next video in the Basic Terminology series can be seen at: http://youtu.be/x4uI-3AePY8

From playlist GEOMETRY 1 - BASIC TERMINOLOGY

Video thumbnail

Conformal Geometry Processing

Symposium on Geometry Processing 2017 Graduate School Lecture by Keenan Crane https://www.cs.cmu.edu/~kmcrane/ http://geometry.cs.ucl.ac.uk/SGP2017/?p=gradschool#abs_conformal_geometry Digital geometry processing is the natural extension of traditional signal processing to three-dimensi

From playlist Tutorials and Lectures

Video thumbnail

Stefan Wenger - 21 September 2016

Wenger, Stefan "“Plateau’s problem in metric spaces and applications”"

From playlist A Mathematical Tribute to Ennio De Giorgi

Video thumbnail

Mario Bonk: The visual sphere of an expanding Thurston map

HYBRID EVENT Recorded during the meeting "Advancing Bridges in Complex Dynamics" the September 23, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Luca Récanzone Find this video and other talks given by worldwide mathematicians on CIRM's Audi

From playlist Virtual Conference

Video thumbnail

D. Stern - Harmonic map methods in spectral geometry (version temporaire)

Over the last fifty years, the problem of finding sharp upper bounds for area-normalized Laplacian eigenvalues on closed surfaces has attracted the attention of many geometers, due in part to connections to the study of sphere-valued harmonic maps and minimal immersions. In this talk, I'll

From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics

Video thumbnail

D. Stern - Harmonic map methods in spectral geometry

Over the last fifty years, the problem of finding sharp upper bounds for area-normalized Laplacian eigenvalues on closed surfaces has attracted the attention of many geometers, due in part to connections to the study of sphere-valued harmonic maps and minimal immersions. In this talk, I'll

From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics

Video thumbnail

Rod Gover - An introduction to conformal geometry and tractor calculus (Part 1)

After recalling some features (and the value of) the invariant « Ricci calculus » of pseudo­‐Riemannian geometry, we look at conformal rescaling from an elementary perspective. The idea of conformal covariance is visited and some covariant/invariant equations from physics are recovered in

From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale

Video thumbnail

C. Leininger - Teichmüller spaces and pseudo-Anosov homeomorphism (Part 1)

I will start by describing the Teichmuller space of a surface of finite type from the perspective of both hyperbolic and complex structures and the action of the mapping class group on it. Then I will describe Thurston's compactification of Teichmuller space, and state his classification

From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications

Video thumbnail

Bernd Ammann - Yamabe constants, Yamabe invariants, and Gromov-Lawson surgeries

In this talk I want to study the (conformal) Yamabe constant of a closed Riemannian (resp. conformal) manifold and how it is affected by Gromov-Lawson type surgeries. This yields information about Yamabe invariants and their bordism invariance. So far the talk gives an overview over older

From playlist Not Only Scalar Curvature Seminar

Video thumbnail

C. Leininger - Teichmüller spaces and pseudo-Anosov homeomorphism (Part 2)

I will start by describing the Teichmuller space of a surface of finite type from the perspective of both hyperbolic and complex structures and the action of the mapping class group on it. Then I will describe Thurston's compactification of Teichmuller space, and state his classification t

From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications

Video thumbnail

Algebraicity/holonomicity theorems - Vesselin Dimitrov and Frank Calegari

Arithmetic Groups Topics: Algebraicity/holonomicity theorems Speakers: Vesselin Dimitrov and Frank Calegari Affiliations: University of Toronto; University of Chicago Date: November 17, 2021

From playlist Mathematics

Video thumbnail

Determine if a set of points makes up a rectangle using the distance formula

👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr

From playlist Quadrilaterals on a Coordinate Plane

Related pages

Three-dimensional space | Conformal map