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Upsampling01:22

Upsampling

Managing signal sampling rates is essential in digital signal processing to maintain signal integrity. A decimated signal, characterized by a reduced frequency range due to its lower sampling rate, can be upsampled by inserting zeros between each sample. This upsampling process expands the original spectrum and introduces repeated spectral replicas at intervals dictated by the new Nyquist frequency. To refine this zero-inserted sequence, it is passed through a lowpass filter with a cutoff...
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Related Experiment Video

Updated: May 7, 2026

Multimodal Cross-Device and Marker-Free Co-Registration of Preclinical Imaging Modalities
07:13

Multimodal Cross-Device and Marker-Free Co-Registration of Preclinical Imaging Modalities

Published on: October 27, 2023

The richer representation the better registration.

Mohammad Rouhani, Angel Domingo Sappa

    IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
    |September 18, 2013
    PubMed
    Summary

    This study introduces a novel point-to-model registration method that avoids time-consuming correspondence searches. By using implicit functions, it achieves robust and fast convergence for accurate 2D and 3D data registration.

    Area of Science:

    • Computer Vision
    • Geometric Modeling
    • Scientific Computing

    Background:

    • Traditional point-wise registration methods rely on time-consuming correspondence searches.
    • Implicit functions offer a powerful way to represent geometric models.

    Purpose of the Study:

    • To reformulate the registration problem as a point-to-model distance minimization.
    • To develop a registration method that bypasses explicit correspondence matching.
    • To leverage implicit function representations for efficient registration.

    Main Methods:

    • The target set is represented using implicit functions (polynomials or B-splines) via linear least squares fitting.
    • Point-to-point registration is converted into a point-to-implicit registration problem.
    • The registration distance is minimized using the Levengberg–Marquardt algorithm.

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    Brain Infarct Segmentation and Registration on MRI or CT for Lesion-symptom Mapping

    Published on: September 25, 2019

    Main Results:

    • The proposed method successfully avoids correspondence search, significantly improving speed.
    • The approach demonstrates robustness and fast convergence in both 2D and 3D experiments.
    • A trade-off between speed and accuracy can be achieved by selecting appropriate implicit functions.

    Conclusions:

    • The developed point-to-model registration method is efficient, robust, and easy to implement.
    • Implicit function representations provide a flexible framework for geometric registration.
    • This approach offers a promising alternative to traditional correspondence-based registration techniques.