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Lines pinning lines (Computational Geometry and Discrete Mathematics)
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The Discrete Equation of the Straight Line
IEEE Transactions on Computers, 1975A new method of description of a straight line defined on a square grid is presented. The discrete equation of the straight line (desl) is introduced as an extension of the classical Cartesian equation, and applies to straight lines quantized on a grid by the grid intersect method.
F Luccio, A Zorat
exaly +3 more sources
Mechanism design on discrete lines and cycles
Proceedings of the 13th ACM Conference on Electronic Commerce, 2012We study strategyproof (SP) mechanisms for the location of a facility on a discrete graph. We give a full characterization of SP mechanisms on lines and on sufficiently large cycles. Interestingly, the characterization deviates from the one given by Schummer and Vohra (2004) for the continuous case.
Elad Dokow +3 more
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A Note on Discrete Representation of Lines
AT&T Technical Journal, 1985In raster graphics a line must be drawn as a “discrete segment”, a set of integer grid points that lie close to the line. Equivalence classes of identically drawn lines are described in terms of Farey series; this treatment notably simplifies previous work of Dorst and Smeulders. A log n algorithm serves to identify a line's equivalence class. Using it
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On Line Discrete-Time Control of Industrial Robots
IFAC Proceedings Volumes, 1991Abstract A recent discrete-time robotic model is employed and linearized to develop three different LQ-type robot controllers. These controllers are: optimal time-varying linear-quadratic controller (OTVLQ), OTVLQ controller with steady-state error elimination, and one-step ahead optimal LQ controller. These controllers require moderate computational
Anastasios Zagorianos +2 more
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On using continuous flow lines to model discrete production lines
Discrete Event Dynamic Systems: Theory and Applications, 1994We extend previous research on the use of models ofcontinuous tandem (CT) lines for performance analysis ofdiscrete tandem (DT) production lines. We formalize the translation of input parameters from the DT line to the CT model, as well as the translation of performance measures (PMs) obtained from the CT model back to the DT line.
Rajan Suri, Bor-Ruey Fu
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Discrete Lines and Wandering Paths
SIAM Journal on Discrete Mathematics, 2007The problem of finding an approximation to a geometric line by a discrete line using pixels is ubiquitous in computer graphics applications. We show that this discrete line problem in ${\mathbb R}^{n+1}$, for grids of any shape, is equivalent to a geometry problem in ${\mathbb R}^n$ concerning the minimization of the distance that a certain type of ...
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Discrete Morphology with Line Structuring Elements
2003Discrete morphological operations with line segments are notoriously hard to implement. In this paper we study different possible implementations of the line structuring element, compare them, and examine their rotation and translation invariance in the continuous domain.
Cris L. Luengo Hendriks +1 more
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Line detection discrete scale-space
Proceedings of 1st International Conference on Image Processing, 2002Based on the scale-space theory for discrete signals introduced by Lindeberg (1990) a line detector is presented for locating roof-shaped lines in 1-D and 2-D signals with subpixel accuracy. Additionally the slope of the profile and the line-orientation are estimated. This approach uses convolution kernels derived from a discretization of the diffusion
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