منابع مشابه
Drawing Straight Lines
lines, pseudolines, polar coordinates, trilinear coordinates, non-linear programming, geometry We present a graph-drawing algorithm which respects extended co-linearity constraints. These are expressed as a set of ‘straight’ paths in a planar graph. Constraints of this sort are translated into a set of inequalities over polar coordinates of lines. These inequalities provide necessary and suffic...
متن کاملOn Drawing Anti-Aliased Straight Lines
In this paper, an efficient algorithm is presented for drawing anti-aliased straight lines for two grey-level case; experimental results show that it is faster than Liu’s algorithm [6]. Specifically, Liu’s algorithm determines the grey-level of one pixel at a time while our algorithm determines the grey-levels of many pixels at the same time. In addition, our results for the two grey-level case...
متن کاملEuclid’s straight lines
We raise two questions on Euclid’s Elements: How to explain that Propositions 16 and 27 in his first book do not follow, strictly speaking, from his postulates (or are perhaps meaningless)? and: What are the mathematical consequences of the meanings of the term eutheia which we today often prefer to consider as different? The answer to the first question is that orientability is a tacit assumpt...
متن کاملHaptically straight lines.
In this research, we set out to investigate haptically perceived space. Large deviations with respect to physical space have already been shown to exist. Here, research on haptic space is continued by investigating straight lines constructed by touch. In four experiments, subjects were asked to produce straight lines between two reference markers that were in the horizontal plane at a fixed dis...
متن کاملBeyond straight lines - Object detection using curvature
We present an approach that directly uses curvature cues in a discriminative way to perform object recognition. We show that integrating curvature information substantially improves detection results over descriptors that solely rely upon histograms of orientated gradients (HoG). The proposed approach is generic in that it can be easily integrated into state-of-the-art object detection systems....
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ژورنال
عنوان ژورنال: The Philosophical Magazine
سال: 1824
ISSN: 1941-5796,1941-580X
DOI: 10.1080/14786442408644475