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Hot answers tagged geometry

Accepted

How can I draw a line using rotation of two circles?

Made a quick diagram and a couple of calculations in matlab, let me know if it works for you. First of all, I am assuming you are considering your piece of paper as your reference coordinate system (...
Accepted

Mobile robot algorithm implementation error

So I'll point out what might be some problems, at-a-glance, but wow this is one of the longest questions I've seen here. I'm pretty swamped with real-life stuff at the moment, so I'll just point these ...
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given position and orientation of two coordinate frames, how to transfer a vector from one to another

A homogeneous transform $T$ is 4x4 matrix that looks like: $$T=\begin{bmatrix} R & t \\ 0_3 & 1 \end{bmatrix}$$ where $R$ is a 3x3 rotation matrix and $t$ is the translation. The rotation ...
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1 vote

What is the idea behind calling configuration space a metric space?

I did not read the book. But one of possible thinks that came to my mind is this: There is big field in mathematica dedicated to preciselly define some terms (set, metric, metric space, ...) and prove ...
• 453
1 vote
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Bearing landmark localization

So the method to figure of something with only bearing measurements is called triangulation. While I think your method works you can much more easily solve it using sin rule. Given at least 1 side ...
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Efficient sphere surface area search

I suppose this is a question of what is "most efficient" and what are you actually doing? And how are you going about simulating it? Are you looking for a mathematical proof of how to find all ...
1 vote

Generalized Voronoi Diagram

The project repositories at Florida State should get you what you are looking for: https://people.sc.fsu.edu/~jburkardt/m_src/m_src.html Look at not only the projects which start with "voronoi_," ...
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Vısual sensor.camera lenses with a field of view of more than 180 degree

Simple fisheye lens model will cover angles over 180 degrees. Fisheye lens model maps the incident angles into x,y coordinate on the image using a polynomial function. Thus, whatever the fov is, it ...
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Vısual sensor.camera lenses with a field of view of more than 180 degree

Consider the alternate approach of using a parabolic mirror. The advantage clearly bing cost and possibly operating under lower light conditions. The disadvantages include more distortion, seeing the ...
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Image coordinate to robot coordinate

The standard way to perform projection transforms between camera images and the world outside is through a projection matrix. Look at this presentation starting at page 25 for an introduction to the ...
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Recognizing a line from three r-theta ultrasonic distance readings?

Checking for three is a subset of checking for many; so, I am going to consider the more general solution. I will discuss the three point solution at the end. First, convert the polar coordinates to ...
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6 axis robot arm with non-perpendicular axes?

The sketch seems to represent a Kuka KR60-HA, doesn't it? First of all, one might ask oneself, why, for instance, the rotation axis of joints 4 and 6 is the same. My ad-hoc answer would be that Kuka ...
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