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Related Concept Videos

Design Example: Measuring Distance Between Two Points with Obstructions01:10

Design Example: Measuring Distance Between Two Points with Obstructions

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When measuring distances in areas with physical obstructions, such as a lake in a field, surveyors must employ techniques to calculate accurate lengths without direct line measurements. One effective method is the offset technique, which allows for precise distance estimation over inaccessible stretches.In this scenario, a surveyor must measure a side of an area that crosses a lake. Since the measuring tape cannot span the lake, the surveyor begins by establishing a baseline that aligns with...
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Distance Problem01:29

Distance Problem

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When an object's velocity changes over time, the total distance traveled can be determined by summing small displacement intervals over short increments. This approach approximates the true distance through numerical summation and the use of integral calculus. An estimate of the total displacement can be obtained by measuring velocity at regular intervals and multiplying each value by the corresponding time step.If a runner accelerates over the first three seconds of a race, speed measurements...
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Distance Measurements by Taping

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Tapes are essential in surveying for accurate, durable, and short-distance measurements. Made from lightweight, nylon-coated steel, they offer flexibility and strength for rugged outdoor use. The nylon coating protects against rust and wear, extending the tape's life. Standard lengths, around 30 meters, are marked in meters and millimeters for precision.Surveyors select tapes based on site conditions and accuracy needs. Lightweight, nylon-coated tapes are commonly used for ease of handling and...
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Mean Absolute Deviation01:13

Mean Absolute Deviation

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The mean absolute deviation is also a measure of the variability of data in a sample. It is the absolute value of the average difference between the data values and the mean.
Let us consider a dataset containing the number of unsold cupcakes in five shops: 10, 15, 8, 7, and 10. Initially, calculate the sample mean. Then calculate the deviation, or the difference, between each data value and the mean. Next, the absolute values of these deviations are added and divided by the sample size to...
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Distance Corrections01:15

Distance Corrections

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To achieve precise distance measurements, especially in surveying and construction, certain corrections must be applied to account for potential sources of error like the standardization errors, temperature variations, and slope adjustments.Standardization error emerges when measurement equipment undergoes changes, such as wear, repairs, or weather impacts. To address this, surveyors compare the equipment’s readings to a standard. This process identifies any deviation that might lead to...
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The Distance Formula01:20

The Distance Formula

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In geometry, measuring the direct distance between two points on a plane is essential in various practical and theoretical applications. Whether in navigation, engineering, or computer graphics, determining the shortest path between two locations involves using the distance formula. This formula is derived from the Pythagorean Theorem, which relates the lengths of the sides of a right triangle. On a coordinate plane, the horizontal and vertical distances between two points serve as the legs of...
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UGD: An Unsupervised Geometric Distance for Evaluating Real-World Noisy Point Cloud Denoising.

Zhiyong Su, Jincan Wu, Yanke Li

    IEEE Transactions on Visualization and Computer Graphics
    |April 20, 2026
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces an unsupervised geometric distance (UGD) for evaluating point cloud denoising without needing ground-truth data. This method uses a learned prior model to assess noise reduction quality in real-world applications.

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    Area of Science:

    • Computer Vision
    • Geometric Processing
    • Machine Learning

    Background:

    • Point cloud denoising is vital for real-world applications.
    • Current evaluation metrics require ground-truth data, which is often unavailable.
    • This limitation hinders the assessment of denoising methods in practical scenarios.

    Purpose of the Study:

    • To propose a novel unsupervised geometric distance (UGD) for evaluating point cloud denoising.
    • To enable quantitative assessment using only noisy point clouds.
    • To overcome the limitations of supervised metrics in real-world applications.

    Main Methods:

    • A patch-wise prior model is learned from clean point clouds using a Gaussian Mixture Model (GMM).
    • This GMM serves as a ground truth to measure geometric variations in denoised point clouds.
    • A self-supervised learning framework with multi-task learning trains the feature extraction network.

    Main Results:

    • The proposed UGD achieves performance comparable to supervised full-reference metrics on synthetic data.
    • Experiments on real-world data confirm UGD's effectiveness for unsupervised evaluation.
    • The method successfully evaluates denoising methods using only noisy point clouds.

    Conclusions:

    • UGD provides a robust and practical solution for evaluating point cloud denoising.
    • It eliminates the need for ground-truth data, making it suitable for real-world scenarios.
    • This unsupervised metric advances the field of point cloud processing and analysis.