Topic
Skew lines
About: Skew lines is a research topic. Over the lifetime, 125 publications have been published within this topic receiving 1003 citations. The topic is also known as: Skew lines.
Papers published on a yearly basis
Papers
1 Jan 1995
TL;DR: In this paper, the focus is on classes of rank 2 geometries, and a rank 2 geometry S is a {0, 1}-geometry, where the elements of type 0 will be called the points while the element of type 1 will be the lines.
Abstract: Publisher Summary
The focus of this chapter is on classes of rank 2 geometries. A rank 2 geometry S is a {0, 1}-geometry. The elements of type 0 will be called the points while the elements of type 1 will be called lines. A rank 2 geometry S is called a partial linear space, if each point is on at least 2 lines, if all lines have at least two points and if any two distinct points in P are incident with at most one line, or equivalently, if any two distinct lines are incident with at most one point. It is also called as a semi-linear space. Lines incident with only 2 points, are called thin lines. If all lines are thin lines, then S is called a thin partial linear space. If all lines are incident with at least 3 points and if every point is incident with at least 3 lines, the partial linear space is called thick. Two points are said to be collinear if they are incident with a common line. Dually, two lines are said to be concurrent if they are incident with a common point.
78 citations
TL;DR: In this paper, the authors obtained a symmetric octic with 352 lines and gave examples of surfaces of degree d containing a sequence of d(d − 2) + 4 skew lines.
Abstract: This paper deals with surfaces with many lines. It is well-known that a cubic contains 27 of them and that the maximal number for a quartic is 64. In higher degree the question remains open. Here we study classical and new constructions of surfaces with high number of lines. We obtain a symmetric octic with 352 lines, and give examples of surfaces of degree d containing a sequence of d(d − 2) + 4 skew lines. Cubic surface with 27 lines
63 citations
12 Apr 2010
TL;DR: The contour following after header line detection correctly separates some of the overlapped lines of text and it is confirmed that this method is invariant of non uniform skew between words in a line (non uniform text line skew).
Abstract: In this paper, we have discussed the new method for Line Segmentation of Handwritten Hindi text. The method is based on header line detection, base line detection and contour following technique. No preprocessing like skew correction, thinning or noise removal has been done on the data. The purpose of this paper is three fold. Firstly, we explained by experiments that this method is suitable for fluctuating lines or variable skew lines of text. Also, we confirm that this method is invariant of non uniform skew between words in a line (non uniform text line skew). Secondly, the contour following after header line detection correctly separates some of the overlapped lines of text. Thirdly, this paper provides a brief review of text line segmentation techniques for handwritten text which can be very useful for the beginners who want to work on text line segmentation.
58 citations
Patent•
23 Jun 1993TL;DR: In this article, an improved method and apparatus for correcting for splay is provided, where a document distorted by the curvature of a page of text away from a platen is converted to a digital image and the digital image is manipulated to remove the distortion by fitting the lines of text in an unsplayed portion to a skew line.
Abstract: An improved method and apparatus for correcting for splay is provided. A document distorted by the curvature of a page of text away from a platen is converted to a digital image. The digital image is the manipulated to remove the distortion by fitting the lines of text in an unsplayed portion to a skew line, which represents the deviation of lines of text in the digital image from horizontal. Then the splay is determined for each line of text. Once the skew and the splay are determined, an inverse transformation is done to straighten the lines of text. A horizontal stretching is also applied to the text to correct for the projection angle of the original document.
56 citations
TL;DR: In this paper, a detailed analysis of the vibration properties of simply supported skew plates is presented, revealing interesting features like the skew angle splitting the degenerate frequencies of rectangular membranes into distinct ones and the frequency crossing of some modes that belong to opposite symmetry groups of the skew membrane.
Abstract: Natural frequencies and mode shapes of a wide range of skew membranes are obtained by the Rayleigh‐Ritz method expressing the deflection as a double Fourier sine series in oblique coordinates. Since the eigenvalues of a polygonal simply supported plate are the squares of the eigenvalues of a polygonal membrane of the same geometry and the eigenfunctions are identical, the results of the present paper readily provide the vibration characteristics of simply supported skew plates as well. This detailed study revealed interesting features like the skew angle splitting the degenerate frequencies of rectangular membranes into distinct ones and the “frequency crossing” of some modes that belong to opposite symmetry groups of the skew membrane. With changing skew angle, the nodal patterns of some modes undergo a gradual change to other totally different patterns. Since, for some modes the diagonals happen to be the nodal lines, such modes can be interpreted as the appropriate modes of the corresponding triangular membrane and consequently, of triangular simply supported plates.
52 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 1 |
| 2020 | 4 |
| 2019 | 2 |
| 2018 | 4 |
| 2017 | 5 |
| 2016 | 3 |