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.
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.
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.
Epipolar geometry is a fundamental concept in computer vision and stereo imaging, referring to the geometric relationship between two or more views of the same three-dimensional scene. It plays a critical role in reconstructing 3D structures from 2D images and is extensively used in applications like 3D reconstruction, stereo vision, and motion tracking.
Cabri Geometry is a dynamic geometry software program designed for the interactive exploration and construction of geometric figures. Developed by Michel Beauduin and his team at the French company Cabri, it is widely used in education to facilitate learning and teaching of geometry concepts. Key features of Cabri Geometry include: 1. **Dynamic Construction**: Users can create geometric shapes and figures by placing points, lines, circles, and other geometric objects.
Biangular coordinates are a type of coordinate system used primarily in two-dimensional geometry. In this system, each point in the plane is represented by a pair of angles, rather than traditional Cartesian coordinates (x, y) or polar coordinates (r, θ). Specifically, a point is defined by two angles, (α, β), which are measured from two fixed lines or reference directions.
A complex polygon is a concept that arises primarily in the context of mathematics, particularly in complex analysis and algebraic geometry. It refers to a polygon whose vertices are defined in the complex plane, where each vertex is represented as a complex number.
Complex convexity is an extension of the concept of convexity to the complex domain. In classical convex analysis, a set \( C \subseteq \mathbb{R}^n \) is called convex if, for any two points \( x, y \in C \), the line segment connecting \( x \) and \( y \) is entirely contained within \( C \).
Crumpling typically refers to the act of crumpling or crumpling up a material, usually paper, by twisting or compressing it, resulting in a wrinkled or folded texture. This action can be a physical manipulation of the material or used metaphorically in various contexts. In a practical sense, crumpling paper might be done to discard it, to create art, or to prepare it for recycling.
In the context of algebraic geometry and the theory of singularities, an **elliptic singularity** refers to a specific type of isolated singularity that appears in complex hypersurfaces. More precisely, it typically arises in the context of singular points of algebraic varieties, particularly in three-dimensional space. Elliptic singularities are characterized by their local behavior resembling that of an elliptic curve.
An epispiral, also known as an "evolute of a spiral," is a type of spiral that can be defined mathematically. In general terms, it refers to a spiral that evolves over time based on certain mathematical principles. The notion of an epispiral can be seen in various fields, including physics, engineering, and mathematics, particularly in the study of curves and their properties.
The term "lateral surface" refers to the outer surface of a three-dimensional geometric shape that is not the top or bottom face. It describes the vertical or side surfaces of a solid object. For example: - In a cylinder, the lateral surface is the curved surface that connects the top and bottom circular bases. - In a prism, the lateral surfaces are the rectangular faces that connect the top and bottom polygonal bases.
Nirenberg's conjecture, proposed by Louis Nirenberg, concerns the behavior of solutions to certain nonlinear partial differential equations, particularly those related to elliptic equations. Specifically, the conjecture addresses the existence of solutions to the Dirichlet problem for certain elliptic equations involving the Laplacian operator with nonlinear boundary conditions. One of the key aspects of Nirenberg's conjecture is its relation to geometric properties, especially in the context of conformal geometry.
Polygon soup is a term used in computer graphics and computational geometry to describe a collection of polygonal shapes (typically triangles or other simple polygons) that are treated as a single entity without any specific structure or organization. This term often refers to data sets where polygons are not properly organized into a coherent mesh or topology, which can lead to problems in rendering, processing, or analyzing the geometric data.
It seems like there might be a bit of confusion in your question, as "Michael J. Walter" could refer to a specific individual, possibly someone who may be notable in a particular field, but as of my last training cut-off in October 2023, I don't have specific information on an individual by that name. If Michael J.
A prismatic surface is a geometric surface generated by translating a shape along a certain path or in a certain direction. This concept is particularly used in geometry and computer graphics. The most common application of prismatic surfaces occurs when dealing with polylines or curves, where the surface extends along a linear path defined by the original shape.
In mathematics, particularly in the field of algebraic geometry and topology, the term "projective cone" can refer to a construction involving projective spaces and cones in vector spaces.

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!
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 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    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.
  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