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How can Fourier descriptors be used for image retrieval? 


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Fourier descriptors can be used for image retrieval by extracting shape-based features from images and using them to calculate similarity. The starting point of the contour is determined using methods such as the minimum inertia axis . The Fourier transform is then applied to obtain eigenvectors, which are used to describe the shape of the image . Similarity between images is measured using techniques such as the correlation coefficient or Euclidean distance . This method has been applied in various domains, including medical imaging for the retrieval of nose disease images . Weighted distances can also be used to compute shape similarity, taking into account the significance of different harmonics in the Fourier descriptors . Overall, Fourier descriptors provide an efficient and effective way to describe and retrieve images based on their shape features.

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The provided paper does not mention the use of Fourier descriptors for image retrieval.
Patent
Li Weixi, Ling Yongquan 
15 Mar 2017
1 Citations
The paper does not mention how Fourier descriptors are used for image retrieval.
The paper explains that Fourier descriptors can be used for image retrieval by computing the similarity between descriptors using measures such as City-block or Euclidean distance.
Fourier descriptors can be used for image retrieval by extracting the edge of the image, determining the starting point of the contour using the minimum inertia axis, and then using Fourier transform to obtain eigenvectors for similarity calculation.
Fourier descriptors are used for shape-based feature extraction in the paper. These features are extracted from input images and stored in a database for comparison with query features to retrieve similar images.

Related Questions

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What is signifance of fourier series?5 answersThe significance of Fourier series lies in its diverse applications across various fields. In mathematics, Fourier series are essential for representing periodic functions through a combination of sinusoidal and cosinusoidal terms, providing a comprehensive insight into the harmonic structure of signals. Additionally, Fourier series play a crucial role in cryptography, where they are utilized in derivation functions for processes like authentication, verification, and digital signatures, leveraging prime numbers for initial value computation. Moreover, in orthodontics, Fourier analysis enables the accurate quantification of mandibular shape, offering a detailed representation with minimal coefficients and aiding in treatment planning by identifying distinct growth characteristics and functional patterns. Overall, Fourier series serve as a fundamental tool in mathematics, signal processing, cryptography, and medical fields, showcasing their versatility and importance in various applications.
How does the Fourier transform help in image processing?4 answersThe Fourier transform is a fundamental tool in image processing that is used for various purposes such as filtering, analysis, reconstruction, and compression of images. It allows us to transform a time-domain signal into its frequency-domain representation, enabling us to analyze the different frequency components present in an image. This analysis can be used for tasks like image filtering, where specific frequency components can be enhanced or suppressed to achieve desired effects. Additionally, the Fourier transform can be used for image reconstruction, where algorithms supported by the transform are employed to reconstruct images from incomplete or degraded data. The performance of different reconstruction algorithms can be evaluated using image quality assurance metrics like MSE, PSNR, SNR, SSIM, and NIQE. The Fourier transform also finds applications in tasks like image completion and classification, where it allows us to work in Fourier space, which is inaccessible to convolutional architectures.
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