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2answers
71 views

Metric Spaces: Why $L_\infty$ selects the maximum value

I have a basic question about the metric spaces. There are several metric spaces like $L_1$, $L_2$ to $L_\infty$. The $L_p$ metric is defined by the following equation: $$d_p(x,y)=\left(\sum_{i=1}^{n}...
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2answers
36 views

Comparing two colored lines

I have two colored lines, which can be thought of as functions I1,I2:[0,1]->R. I want to check whether I1 and I2 'topologically' represent the same object. In other words, if I stretch some parts of ...
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0answers
26 views

Most efficient/sparsest piecewise linear approximation of signals

When standard linear regression is becomes unefficient, Piecewise Linear Regression Models are sometimes preferred over Polynomial Fits for tractable sigmal models. Indeed, they should be called ...
5
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0answers
68 views

Quantitative comparison of scaled-, delayed- and warped-signals

In several signal processing techniques, such as blind source separation (BSS) or deconvolution, one may wish to estimate a signal $x(t)$ and recovers $s.x(t+d)$, where $s$ is a scale factor, $d$ a ...
2
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1answer
87 views

Distances In a Single Image With Some Real References

Consider following image: We have some real references here: Stonehenge measurements (stone dimensions and distances), some strait lines at the back of carts, cart wheels that are almost of the ...
0
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1answer
49 views

How to determine relative distance between 3 in-phase transmitters by analysis of received signal

I would like to determine with high accuracy the relative distances between three RF transmitters a few meters apart by analysis of phase interference in the received wave, the receiver being at an ...
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0answers
91 views

“Circular shift - invariant” distance

Couldn't decide whether the question belongs on Mathematics or here, but I guess I'll ask it here. I've got a discrete - valued function defined on a finite segment of a line that looks like this: ...
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0answers
36 views

Measuring typical seperation between patches using 2D Fourier Transform

I need to extract information about the typical distance between the black patches in an image like the one I attached here. Typical distance would be the the most frequent separation between two ...
3
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1answer
111 views

Image registration / fusion optimal similarity metrics

I have a theoretical question about optimal similarity metrics for comparing data sets. In reading this linked paper, pp. 488-489 [1], I read the following 2 interesting statements. On page 488: ...
1
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0answers
37 views

Good color distance metric for classifying color pairs

I have some two tone origami paper. This particular paper comes in six types, each with a different pair of colors. Here's an image that shows all six: Given a picture of one of these sheets, I ...
1
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0answers
57 views

Comparing two signal outputs from two clients on a networked computer game to identify lag

Basically, I'm running a server and two clients of the Unreal Engine and trying to figure out if there is lag in player movement on one of the clients (the clients are different in way that's not ...
0
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1answer
304 views

understanding image error metrics, mean squared error

i am trying to understand the error metrics for images. i had no statistics class or anything and i'm having a bit of problem with even the simplest things. i have started reading this http://...
0
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0answers
145 views

Distance-metric for SIFT descriptors matching

Will using Cosine-Similarity or Histogram Intersection as distance-metric, for matching SIFT descriptors, help to get better results? Anybody tried on that ever?
0
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2answers
127 views

Increasing Recall rate for SIFT

Is there a better way to increase Recall Rate when using SIFT features? I am thinking a way to replace the NN1/NN2 ratio to account for slightly distorted objects. Moving towards clustering and using ...
0
votes
0answers
116 views

What distance metric can I use for comparing image features in a nearest neighbour algorithm?

I use Nearest Neighbour function of Scikit learn module in python for training and compare an image set (https://docs.google.com/file/d/0B6zJ3_hrkW40U182SWNWX3o4dE0/edit?usp=sharing&pli=1) By ...
4
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0answers
1k views

What is a good distance measure for matching SIFT descriptors depending on the distribution of their noise?

I have read some papers about distance measures like Euclidean, Manhattan or Chi-Square for matching gradient based image descriptors like those computed from the SIFT Algorithm (128-D vectors). Most ...
2
votes
1answer
58 views

Combining Distance Maps

I have two distance maps that describe distances from blue segment and the red segment. I need to compute a single weight map that describes transition from blue segment to the red segment. The weight ...
0
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2answers
3k views

Measuring with OpenCV and OpenNI

I'm playing with the built in OpenNI access within OpenCV 2.4.0 and I'm trying to measure the distance between two points in the depth map. I've tried this so far: ...
9
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2answers
627 views

Good metric for qualitatively comparing image patches

I am trying to "match" little square patches in an image. At first glance, it seems reasonable to simply do a Euclidean distance style comparison of two of these arrays to get a "similarity" measure. ...
7
votes
2answers
192 views

Black box signal prediction

I have a stateful black box with four real-valued inputs and one real-valued output. My problem is to predict the output at each moment in time, given the sequence of inputs seen up to that point. ...
2
votes
1answer
199 views

Are there any good “conceptual distances” for comparing two images?

I want to define some distances to use over an image, which I create. I think I need to define two different "distances". The first distance should be the most robustness preserving in compare to ...
13
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1answer
2k views

What distance metric can I use for comparing images?

I usually use the mean squared error (MSE) or peak signal-to-noise ratio (PSNR) to compare two images, but this isn't good enough. I need to find a formula that returns a very big distance between an ...