Euclidean symmetries

Procrustes transformation

A Procrustes transformation is a geometric transformation that involves only translation, rotation, uniform scaling, or a combination of these transformations. Hence, it may change the size or position, but not the shape of a geometric object. Named after the mythical Greek robber, Procrustes, who made his victims fit his bed either by stretching their limbs or cutting them off. (Wikipedia).

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What is a reduction dilation

👉 Learn about dilations. Dilation is the transformation of a shape by a scale factor to produce an image that is similar to the original shape but is different in size from the original shape. A dilation that creates a larger image is called an enlargement or a stretch while a dilation tha

From playlist Transformations

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What are dilations

👉 Learn about dilations. Dilation is the transformation of a shape by a scale factor to produce an image that is similar to the original shape but is different in size from the original shape. A dilation that creates a larger image is called an enlargement or a stretch while a dilation tha

From playlist Transformations

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Seth Lloyd - Quantum polar decomposition - IPAM at UCLA

Recorded 25 January 2022. Seth Lloyd of the Massachusetts Institute of Technology presents "Quantum polar decomposition" at IPAM's Quantum Numerical Linear Algebra Workshop. Abstract: The polar decomposition decomposes a matrix into the product of a unitary and an Hermitian matrix. This ta

From playlist Quantum Numerical Linear Algebra - Jan. 24 - 27, 2022

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What is an enlargement dilation

👉 Learn about dilations. Dilation is the transformation of a shape by a scale factor to produce an image that is similar to the original shape but is different in size from the original shape. A dilation that creates a larger image is called an enlargement or a stretch while a dilation tha

From playlist Transformations

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Edoardo Ponti & Yova Kementchedjhieva (#botsBerlin Meetup)

Welcome to the livestream of BotsBerlin! This is our Deep Tech meet-up, where we encourage the discussion of tech and research in the bot-building world. We are very grateful to be having Edoardo Ponti from the University of Cambridge and Yova Kementchedjhieva from the University of Cope

From playlist Deep Tech Meetup

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34. Distance Matrices, Procrustes Problem

MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018 Instructor: Gilbert Strang View the complete course: https://ocw.mit.edu/18-065S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63oMNUHXqIUcrkS2PivhN3k This lecture conti

From playlist MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018

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What is a transformation vector

👉 Learn how to apply transformations of a figure and on a plane. We will do this by sliding the figure based on the transformation vector or directions of translations. When performing a translation we are sliding a given figure up, down, left or right. The orientation and size of the fi

From playlist Transformations

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Physics-Informed Dynamic Mode Decomposition (PI-DMD)

In this video, Peter Baddoo from MIT (www.baddoo.co.uk) explains how physical laws can be integrated into the dynamic mode decomposition. Title: Physics-informed dynamic mode decomposition (piDMD) Authors: Peter J. Baddoo, Benjamin Herrmann, Beverley J. McKeon, J. Nathan Kutz, and Steven

From playlist Research Abstracts from Brunton Lab

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How to find the transformation vector from a figure slide

👉 Learn how to apply transformations of a figure and on a plane. We will do this by sliding the figure based on the transformation vector or directions of translations. When performing a translation we are sliding a given figure up, down, left or right. The orientation and size of the fi

From playlist Transformations

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Shifting a triangle using a transformation vector

👉 Learn how to apply transformations of a figure and on a plane. We will do this by sliding the figure based on the transformation vector or directions of translations. When performing a translation we are sliding a given figure up, down, left or right. The orientation and size of the fi

From playlist Transformations

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Biologically relevant distances between morphological surfaces representing teeth and bones

Distinguished Visitor Lecture Series Biologically relevant distances between morphological surfaces representing teeth and bones Ingrid Daubechies Duke University, USA

From playlist Distinguished Visitors Lecture Series

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Symmetrization

In this video, I define a cool operation called the symmetrization, which turns any matrix into a symmetric matrix. Along the way, I also explain how to show that an (abstract) linear transformation is one-to-one and onto. Finally, I show how to decompose and matrix in a nice way, sort of

From playlist Linear Transformations

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AGACSE2021 Joan Lasenby - GA approach to orthogonal transformations in signal and image processing.

Professor Joan Lasenby from Cambridge University on a Geometric Algebra approach to orthogonal transformations and their use in signal and image processing.

From playlist AGACSE2021

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Ingrid Daubechies: "Bones, Teeth and Animation"

Green Family Lecture Series "Bones, Teeth and Animation" Ingrid Daubechies, Duke University Abstract: The talk describes new distances between pairs of two-dimensional surfaces (embedded in three-dimensional space) that use both local structures and global information in the surfaces. Th

From playlist Public Lectures

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Joshua Mike (6/15/20): TALLEM: Topological Assembly of Locally Linear Euclidean Models

Title: TALLEM: Topological Assembly of Locally Linear Euclidean Models Abstract: We present a new topological data analysis tool for nonlinear dimensionality reduction. This method, dubbed TALLEM, assembles a collection of local Euclidean coordinates, and leverages ideas from the theory o

From playlist ATMCS/AATRN 2020

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How to translate a triangle using a transformation vector

👉 Learn how to apply transformations of a figure and on a plane. We will do this by sliding the figure based on the transformation vector or directions of translations. When performing a translation we are sliding a given figure up, down, left or right. The orientation and size of the fi

From playlist Transformations

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Katharine Turner: Statistical Shape Analysis using the Persistent Homology Transform

The lecture was held within the framework of the Hausdorff Trimester Program : Applied and Computational Algebraic Topology

From playlist HIM Lectures: Special Program "Applied and Computational Algebraic Topology"

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Determining the scale factor of the enlargement of a triangle

👉 Learn about dilations. Dilation is the transformation of a shape by a scale factor to produce an image that is similar to the original shape but is different in size from the original shape. A dilation that creates a larger image is called an enlargement or a stretch while a dilation tha

From playlist Transformations

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JASP 0.14 Tutorial: Dealing with Missing Values (Episode 32)

In this JASP tutorial, I discuss how JASP deals with missing values, including various notation methods and casewise vs. listwise deletion in the even to multiple missing values in your dataset. The data in this video can be found in the base JASP Data Library. JASP: https://jasp-stats.o

From playlist JASP Tutorials

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How to apply a transformation vector to translate a figure

👉 Learn how to apply transformations of a figure and on a plane. We will do this by sliding the figure based on the transformation vector or directions of translations. When performing a translation we are sliding a given figure up, down, left or right. The orientation and size of the fi

From playlist Transformations

Related pages

Orthogonal Procrustes problem | Procrustes analysis | Rotation | Shear matrix | Translation (geometry) | Function composition | Affine transformation | Singular value decomposition | Shape