Geometry in computer vision | Stereophotogrammetry
In computer vision, triangulation refers to the process of determining a point in 3D space given its projections onto two, or more, images. In order to solve this problem it is necessary to know the parameters of the camera projection function from 3D to 2D for the cameras involved, in the simplest case represented by the camera matrices. Triangulation is sometimes also referred to as reconstruction or intersection. The triangulation problem is in principle trivial. Since each point in an image corresponds to a line in 3D space, all points on the line in 3D are projected to the point in the image. If a pair of corresponding points in two, or more images, can be found it must be the case that they are the projection of a common 3D point x. The set of lines generated by the image points must intersect at x (3D point) and the algebraic formulation of the coordinates of x (3D point) can be computed in a variety of ways, as is presented below. In practice, however, the coordinates of image points cannot be measured with arbitrary accuracy. Instead, various types of noise, such as geometric noise from lens distortion or interest point detection error, lead to inaccuracies in the measured image coordinates. As a consequence, the lines generated by the corresponding image points do not always intersect in 3D space. The problem, then, is to find a 3D point which optimally fits the measured image points. In the literature there are multiple proposals for how to define optimality and how to find the optimal 3D point. Since they are based on different optimality criteria, the various methods produce different estimates of the 3D point x when noise is involved. (Wikipedia).
Projection of One Vector onto Another Vector
Link: https://www.geogebra.org/m/wjG2RjjZ
From playlist Trigonometry: Dynamic Interactives!
Adding Vectors Geometrically: Dynamic Illustration
Link: https://www.geogebra.org/m/tsBer5An
From playlist Trigonometry: Dynamic Interactives!
Evaluating Trigonometric Functions of Angles Given a Point on its Terminal Ray
Math Ts: SAVE TIME & have your Trigonometry Ss (formatively) assess their own work! After solving a problem or 2 (like this), send them here: https://www.geogebra.org/m/hK5QfXah .
From playlist Trigonometry: Dynamic Interactives!
Images in Math - Polygon Triangulations
This video is about triangulations of polygons.
From playlist Images in Math
RADIAN SYSTEM | TRIGONOMETRY using ANIMATION and Visual Tool| CREATA CLASSES | SHORTS
Understand TRIGONOMETRY using Animation & Visual Tools. A new Learning Experience of better understanding. Visit our full course on TRIGONOMETRY using ANIMATION & Visual Tools at https://creataclasses.com/courses-2/ Visit our website: https://creataclasses.com/ Follow us on Facebook: h
From playlist TRIGONOMETRY
Graphing Trigonometric Functions: Formative Assessment with Feedback
Link: https://www.geogebra.org/m/CSxw82zH BGM: Andy Meyers
From playlist Trigonometry: Dynamic Interactives!
Open Middle: Creating Trig Equations (Demo)
#OpenMiddle tasks serve as GREAT formative & summative items during this unfortunate time of more remote & hybrid learning. COVID or NO COVID, better for Ss to wrestle & reason with creating vs. giving them a set of Qs they’ll just quickly Google or PhotoMath. Here, an entire compilation
From playlist Trigonometry: Dynamic Interactives!
Radian Definition: Dynamic & Conceptual Illustrator
Link: https://www.geogebra.org/m/VYq5gSqU
From playlist Trigonometry: Dynamic Interactives!
A visibility problem, how many guards are enough?
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From playlist Puzzles
Polar Coordinates: Dynamic Illustrator
Link: https://www.geogebra.org/m/guCcvwFP
From playlist Trigonometry: Dynamic Interactives!
Lecture 9 | Introduction to Robotics
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From playlist Lecture Collection | Introduction to Robotics
Henry Adams (5/3/22): Topology in Machine Learning
Abstract: How do you "vectorize" geometry, i.e., extract it as a feature for use in machine learning? One way is persistent homology, a popular technique for incorporating geometry and topology in data analysis tasks. I will survey applications arising from materials science, computer visi
From playlist Tutorials
The space of surface shapes, and some applications to biology - Hass
Members' Seminar Topic:The space of surface shapes, and some applications to biology Speaker: Joel Hass Date: Monday, February 1 The problem of comparing the shapes of different surfaces turns up in different guises in numerous fields. I will discuss a way to put a metric on the space of
From playlist Mathematics
S. Hersonsky - Electrical Networks and Stephenson's Conjecture
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From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie
Livine Etera : The Geometry of Loop Quantum Gravity
Recording during the thematic meeting : "Geometrical and Topological Structures of Information" the August 31, 2017 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent
From playlist Geometry
Lecture 11: Digital Geometry Processing (CMU 15-462/662)
Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz2emSh0UQ5iOdT2xRHFHL7E Course information: http://15462.courses.cs.cmu.edu/
From playlist Computer Graphics (CMU 15-462/662)
Writing Equivalent Polar Coordinates Quiz
Link: https://www.geogebra.org/m/MxAvq5Yt
From playlist Trigonometry: Dynamic Interactives!
How to Build an Intelligent Machine | Michael Bronstein
“Our laptops, tablets, and smartphones will become precision instruments that will be able to measure three-dimensional objects in our environment”, says Michael Bronstein in this video for the World Economic Forum. The associate professor from the University of Lugano, Switzerland, says 3
From playlist Popular Audience Talks