Link distance by Wikipedia Bot 0
In mathematics, a lituus is a type of spiral or curve that is defined by a specific polar equation. The term "lituus" is derived from the Latin word for "trumpet," which reflects the curve's trumpet-like shape as it spirals outward.
Mori dream space by Wikipedia Bot 0
Mori Dream Space is a conceptual space that embodies elements of Mori Girl aesthetics and culture. The "Mori Girl" style originated in Japan and is characterized by a whimsical, rustic, and nature-inspired look. This aesthetic often includes layered clothing, soft and flowing fabrics, and earthy colors, evoking a sense of tranquility and connection to nature.
In topology, a **signature** often refers to the collection of topological invariants that characterize a particular topological space. More formally, it is a way to uniquely classify or describe a topological space up to homeomorphism (a continuous deformation of the space).
Slam-dunk by Wikipedia Bot 0
"Slam Dunk" can refer to a couple of different things, primarily in the context of sports and popular culture: 1. **Basketball Move**: In basketball, a "slam dunk" is a high-impact shot where a player jumps and scores by putting the ball directly through the hoop with one or both hands. It is often considered one of the most exciting plays in basketball due to its athleticism and flair.
The Sphere Theorem is a result in the field of differential topology and geometric topology, specifically concerning 3-manifolds. It provides a characterization of certain types of 3-manifolds that have a topology similar to that of a sphere.
The Spherical Space Form Conjecture is a mathematical conjecture in the field of topology, specifically concerning the classification of certain types of geometric shapes known as "manifolds." More precisely, it addresses the nature of closed manifolds that are homotopy equivalent to spherical manifolds, which are manifolds that can be deformed into a sphere.
Surface bundle by Wikipedia Bot 0
A **surface bundle** is a specific type of fiber bundle in the field of topology and differential geometry. In general, a fiber bundle consists of three main components: a total space \(E\), a base space \(B\), and a fiber \(F\) that is associated with each point in the base space.
Symplectic filling is a concept from the field of symplectic geometry, a branch of differential geometry. It particularly deals with the relationship between contact manifolds and symplectic manifolds. A **contact manifold** is a type of manifold equipped with a contact form, which is a differential form that gives rise to a hyperplane distribution on the manifold. The simplest example of a contact manifold is the 3-dimensional sphere with the standard contact structure.
Trigenus by Wikipedia Bot 0
As of my last update in October 2023, "Trigenus" does not refer to any widely recognized concept, organization, brand, or term in common knowledge. It's possible that it could be a name used in a specific context, such as a business, a product, a fictional entity, or a term within a niche field.
Direct Linear Transformation (DLT) is a mathematical approach commonly used in computer vision and photogrammetry for establishing a correspondence between two sets of points. Specifically, it is used to compute a transformation matrix that maps points from one coordinate space to another in a linear manner. DLT is particularly useful for tasks such as camera calibration, image rectification, and 3D reconstruction.
3D pose estimation refers to the process of determining the spatial configuration of an object or a person in three-dimensional space. This typically involves estimating the 3D coordinates of key points (joints or landmarks) on the object or body being analyzed, which can then be used to understand its orientation, position, and movement.
Camera auto-calibration refers to a process or technique used to determine the intrinsic and extrinsic parameters of a camera system automatically, without requiring a detailed calibration object or manual intervention. This process is particularly useful in computer vision and robotics, as accurate camera calibration is crucial for applications like 3D reconstruction, augmented reality, and visual odometry. ### Key Concepts of Camera Auto-Calibration 1.
Computer stereo vision is a technique in computer vision that involves the use of two or more images of the same scene captured from different viewpoints to extract depth information and perceive three-dimensional structures. This process is similar to how humans use their two eyes to gauge depth and distance through binocular vision. Here's a breakdown of the key concepts involved in computer stereo vision: 1. **Image Acquisition**: Two images are taken from slightly different angles, typically using two cameras positioned a set distance apart (rigidly aligned).
Viacheslav V. Nikulin is a notable figure in the field of mathematics, particularly known for his contributions to mathematical logic and related areas.
The correspondence problem generally refers to a situation in which the goal is to match or pair elements from two sets based on some criteria, despite the possibility of noise, occlusion, or other complicating factors. This concept comes up in various fields, including: 1. **Computer Vision**: In visual processing, the correspondence problem often involves determining which features in one image correspond to features in another image.
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.
Triangulation in computer vision refers to the method of determining the position of a point in 3D space by using the geometric principles derived from two or more observations of that point from different camera viewpoints. It is a fundamental technique used in various applications such as 3D reconstruction, camera calibration, and depth estimation. ### How Triangulation Works 1. **Multiple Camera Views**: Triangulation typically uses two or more cameras capturing images of the same scene from different angles.

Pinned article: ourbigbook/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!
We have two killer features:
  1. 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-calculus
    Articles 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/derivative
  2. 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.
    Figure 5. . 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.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
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