Direct linear transformation 1970-01-01
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.
Yemeni astronomers 1970-01-01
Yemeni astronomers refer to individuals in Yemen, both historically and currently, who study celestial bodies and phenomena. Yemen has a rich history in Islamic astronomy, with contributions from scholars during the Islamic Golden Age. Notably, scholars like Al-Khwarizmi and Al-Battani, although not exclusively Yemeni, influenced the scholarly tradition in the region.
Aliquot sequence 1970-01-01
An aliquot sequence is a mathematical sequence that begins with a positive integer and continues by repeatedly taking the sum of its proper divisors (the divisors excluding the number itself). Proper divisors are the numbers that divide the original number evenly, apart from the number itself. The sequence can be described as follows: 1. Start with a positive integer \( n \). 2. Find the proper divisors of \( n \) and sum them to get a new number \( a_1 \).
Kaprekar number 1970-01-01
A Kaprekar number is a special kind of number in recreational number theory. A non-negative integer \( n \) is called a Kaprekar number if the following condition holds: 1. Square the number \( n \) (calculating \( n^2 \)). 2. Split the resulting square into two parts: the right part containing \( d \) digits (where \( d \) is the number of digits in \( n \)), and the left part containing the remaining digits.
Expressive timing 1970-01-01
Expressive timing refers to the variations in tempo and rhythm that musicians use to enhance the emotional impact and interpretative depth of a piece of music. Rather than adhering strictly to a metronomic beat, performers may slightly accelerate or decelerate certain passages, emphasize specific notes, or use pauses (fermata) to convey feelings and moods more effectively. This practice can add a personal touch to a performance, allowing the musician to communicate their interpretation of the music more compellingly.
Legato 1970-01-01
"Legato" can refer to a couple of different concepts, depending on the context: 1. **In Music**: Legato is a musical term indicating that notes should be played or sung smoothly and connectedly, without any perceptible interruption between them. This contrasts with staccato, where notes are played in a detached or separated manner. When musicians see the term "legato" in sheet music, they typically interpret it to mean that they should use techniques that maintain a flowing sound.
Fundamental matrix (computer vision) 1970-01-01
In computer vision, the **fundamental matrix** is a key concept used in the context of stereo vision and 3D reconstruction. It is a \(3 \times 3\) matrix that captures the intrinsic geometric relationships between two views (images) of the same scene taken from different viewpoints. ### Key Points about the Fundamental Matrix: 1. **Epipolar Geometry**: The fundamental matrix encapsulates the epipolar geometry between two camera views.
257-gon 1970-01-01
Nepalese physicists 1970-01-01
"Nepalese physicists" refers to physicists who are from Nepal or are of Nepalese nationality. These individuals engage in the study and application of physics, contributing to various fields such as theoretical physics, experimental physics, astrophysics, condensed matter physics, and more. Nepal has a growing academic and research community in the field of physics, with institutions like Tribhuvan University and the Nepal Academy of Science and Technology contributing to the education and training of physicists.
North Korean physicists 1970-01-01
The term "North Korean physicists" generally refers to scientists and researchers in North Korea who work in the field of physics. Due to the isolation of North Korea, not much information is readily available about their work or the details of their physics community. However, it is known that North Korean physicists may be involved in various areas of research, including nuclear physics, materials science, and possibly other branches of physics related to their national interests, such as military applications or energy production.
Pakistani physicists 1970-01-01
Pakistani physicists are scientists from Pakistan who specialize in the field of physics. The country has produced a number of notable physicists who have made significant contributions to various areas of physics, such as theoretical physics, experimental physics, nuclear physics, astrophysics, and more.
Gravity feed 1970-01-01
Gravity feed is a method of transporting liquids, typically utilized in systems where fluid movement relies on the force of gravity. In gravity feed systems, liquids are stored at a higher elevation than the point of use, allowing the liquid to flow downward through pipes or hoses due to gravitational pull.
Triangulation (computer vision) 1970-01-01
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.
Sum-product number 1970-01-01
Cover artists 1970-01-01
Cover artists are musicians or performers who create new versions of existing songs, typically by reinterpreting them in their own style. This can involve changing aspects such as the arrangement, instrumentation, and vocal delivery to give the song a fresh perspective. Covering a song can be done in various styles, ranging from acoustic renditions to full-band versions, and can be performed live or recorded.
Covers albums 1970-01-01
Cover albums are collections of songs in which an artist or band performs new versions of previously recorded songs by other artists. These albums may feature reimagined renditions, tribute performances, or straightforward covers of popular tracks. Cover albums can highlight the artist's interpretation of the songs, showcase their influences, or pay homage to the original artists. Sometimes, these albums are a way for musicians to explore different genres or styles that differ from their original work.
Musical settings of poems by author 1970-01-01
Musical settings of poems refer to the practice of composers setting the text of poems to music, transforming the written word into a musical performance. This can include a wide variety of forms, such as art songs (like lieder), choral settings, operatic arias, and even popular music adaptations. When a composer chooses a specific poem, they take into account the poem's themes, emotions, and rhythms, which can significantly influence the musical composition.
Voicing (music) 1970-01-01
In music, "voicing" refers to the way chords are arranged or structured, particularly the distribution of the individual notes within a chord across different musical parts or instruments. Voicing can significantly affect the sound and texture of music. Here are a few key aspects of voicing: 1. **Chord Voicing**: This involves the selection of specific notes from a chord, their arrangement in different octaves, and how they are spread out across different musical lines or instruments.
B. R. Bhat 1970-01-01
Baily–Borel compactification 1970-01-01
The Baily–Borel compactification is a method used in the field of algebraic geometry and arithmetic geometry to compactify certain types of locally symmetric spaces, particularly those associated with Hermitian symmetric domains. It is named after the mathematicians William Baily and Armand Borel, who introduced the concept. ### Context and Motivation In many situations, particularly in number theory and the theory of modular forms, one deals with spaces that are not compact.