Curve Matching Techniques for Rotated Curves in Geometric Analysis

In summary, the conversation discusses the need for performing geometry matching of curves, which may be rotated but have similar shape. The question of whether curve fitting and analyzing analytical models is necessary is raised, with the acknowledgement that it may be a complex task. The speaker is seeking ideas for solving this problem.
  • #1
klau
5
0
I need to perform geometry matching of curves (see http://www.tiikoni.com/tis/view/?id=c54d9b8 ). As it can be seen, the big problem is that curves might be rotated, though they have similar shape.

Do I need to make curve fitting and look at the parameters of analytical models? But, I guess, it's very complicated to fit these curves.

How can I solve this problem? Any ideas is highly appreciable.
 
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  • #2
You didn't give any information about what the curves represent. People could read your other posts and guess, but it would be a good idea to make a coherent statement of the problem in this thread.
 

Related to Curve Matching Techniques for Rotated Curves in Geometric Analysis

1. What is geometry matching of curves?

Geometry matching of curves is a process of comparing and finding the similarities between two or more curves in terms of their shapes, sizes, and positions. It involves analyzing the mathematical properties of the curves and identifying common features between them.

2. What is the purpose of geometry matching of curves?

The purpose of geometry matching of curves is to quantify the degree of similarity or dissimilarity between curves, which can provide valuable information for various applications such as pattern recognition, shape analysis, and curve classification. It is also used in fields such as computer graphics, computer vision, and medical imaging.

3. What are some methods used for geometry matching of curves?

Some commonly used methods for geometry matching of curves include distance-based methods, alignment-based methods, and shape-based methods. Distance-based methods measure the difference between the curves using metrics such as Euclidean distance or dynamic time warping. Alignment-based methods involve aligning the curves and comparing their corresponding points. Shape-based methods analyze the overall shape of the curves using mathematical descriptors such as Fourier descriptors or curvature scale space.

4. Can geometry matching be applied to any type of curve?

Yes, geometry matching can be applied to any type of curve, including 2D and 3D curves. It can also be used for both closed and open curves, as well as curves with different degrees of complexity. However, the choice of method may vary depending on the type and complexity of the curves.

5. How accurate is geometry matching of curves?

The accuracy of geometry matching of curves depends on various factors such as the chosen method, the quality of the data, and the level of noise or variability in the curves. In general, distance-based methods tend to be more sensitive to noise, while shape-based methods are more robust. The accuracy can also be improved by using multiple methods and combining their results.

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