Semi-global matching (SGM) is a technique used in computer vision, particularly for stereo vision and depth estimation. It is designed to compute disparity maps efficiently and accurately from stereo image pairs. The goal of SGM is to find corresponding points in two images taken from different viewpoints, allowing for the estimation of depth by measuring the disparity between these points.
A Texture Mapping Unit (TMU) is a component in a graphics processing unit (GPU) that is responsible for handling texture mapping operations. Texture mapping is a technique used in 3D computer graphics to add detail, surface texture, and color to 3D models.
The pinhole camera model is a simple physical model used in optics and computer vision to describe how light travels through a small aperture (the pinhole) to form an image. This model simplifies the process of imaging by using geometrical optics principles, and it is often used to illustrate fundamental concepts in photography, imaging systems, and camera design.
In the context of Wikipedia and other online collaborative projects, "polyhedron stubs" refer to short or incomplete articles that provide minimal information about polyhedra, which are three-dimensional geometric shapes with flat faces, straight edges, and vertices. A stub is essentially a starting point for more comprehensive articles, and it marks content that needs expansion and additional detail.
A harmonic quadrilateral is a specific type of quadrilateral in the realm of projective geometry, characterized by a particular relationship between its vertices. A quadrilateral is considered harmonic if the pairs of opposite sides are divided proportionally by the intersection of the diagonals.
A Beltrami vector field is a type of vector field that satisfies a specific mathematical condition related to the curl operator.
A **blind polytope** is a concept from combinatorial geometry, particularly related to the study of polytopes and their properties. In this context, a **polytope** is a geometric object with flat sides, which can be defined in any number of dimensions. The term "blind polytope" typically refers to a specific class of polytopes that share certain combinatorial properties, particularly in relation to visibility and edges.
A **complex Lie group** is a mathematical structure that combines the concepts of Lie groups and complex analysis. Specifically, a complex Lie group is a group that is both a smooth manifold and a complex manifold, equipped with a group operation that is compatible with both the manifold structures. Here are some key points to understand complex Lie groups: 1. **Lie Groups**: A Lie group is a group that is also a differentiable manifold, meaning it has a layer of smoothness (i.e.
The Murakami–Yano formula is a result in differential geometry, specifically concerning the relationship between the curvature of a Riemannian manifold and the behavior of the volume of the manifold under certain geometric transformations. Named after mathematicians Hideo Murakami and Yoshihiro Yano, the formula provides a way to compute the derivative of the volume of a Riemannian manifold when the metric is varied.
Exotic affine space typically refers to certain mathematical constructions in the realm of differential geometry, algebraic geometry, and topology. However, the specific term "exotic affine space" isn't standard in mathematical literature, so it may be context-dependent. 1. **Affine Space**: An affine space is a set of points equipped with a vector space that associates vectors between points.
Kosnita's theorem is a result in the field of geometry, specifically in relation to cyclic polygons and triangle centers.
Laplacian smoothing, also known as Laplacian regularization or Laplacian filtering, is a technique used in various fields, including computer graphics, machine learning, and signal processing, to improve the quality of data representation or to enhance smoothness in a given dataset.
The Mukhopadhyaya Theorem is a result in the field of number theory, specifically concerning the properties of Diophantine equations. However, it's important to note that it may not be widely known or recognized in all mathematical circles, and the presentation of the theorem may vary. In general, the theorem deals with the conditions under which certain types of integer solutions exist for equations of specific forms. It may also relate to topics in algebraic number theory or algebraic geometry.
Order-2 apeirogonal tiling refers to a specific type of tiling pattern in the study of geometry, particularly in the context of regular tiling in the Euclidean plane or in hyperbolic spaces. The term "apeirogon" refers to a polygon with an infinite number of sides, which is a theoretical construct.
The Padovan cuboid spiral is a geometric figure that extends the concept of the Padovan sequence into three dimensions. The Padovan sequence is defined by the recurrence relation \( P(n) = P(n-2) + P(n-3) \) with initial values \( P(0) = 1 \), \( P(1) = 1 \), and \( P(2) = 1 \). Subsequent values can be derived from these.
A quaternionic polytope is a generalization of the concept of a polytope in the context of quaternionic geometry, much like how a polytope can be generalized from Euclidean spaces to spaces based on complex numbers. In basic terms, a polytope in Euclidean space is defined as a geometric object with flat sides, which can exist in any number of dimensions. A typical example is a polygon in 2D or a polyhedron in 3D.
As of my last update in October 2023, "Superegg" may refer to different things depending on the context. It could potentially relate to various sectors such as technology, gaming, education, or product branding. For example, in the tech industry, it might be a name for a startup, app, or innovative product. In gaming, it might represent a specific game, character, or feature.
The small stellated 120-cell, also known as the stellated 120-cell or the small stellated hyperdiamond, is a specific type of honeycomb in four-dimensional space, classified among the convex regular 4-polytopes. It is a part of the family of 4-dimensional polytopes known as honeycombs, which are tessellations of four-dimensional space.
Pinned article: Introduction to the OurBigBook Project
Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
Intro to OurBigBook
. Source. We have two killer features:
- topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculusArticles of different users are sorted by upvote within each article page. This feature is a bit like:
- a Wikipedia where each user can have their own version of each article
- a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.Figure 1. Screenshot of the "Derivative" topic page. View it live at: ourbigbook.com/go/topic/derivativeVideo 2. OurBigBook Web topics demo. Source. - local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 3. Visual Studio Code extension installation.Figure 4. Visual Studio Code extension tree navigation.Figure 5. Web editor. You can also edit articles on the Web editor without installing anything locally.Video 3. Edit locally and publish demo. Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.Video 4. OurBigBook Visual Studio Code extension editing and navigation demo. Source. - Infinitely deep tables of contents:
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact





