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Related Concept Videos

Finding Volume Using Cross-Sectional Area01:24

Finding Volume Using Cross-Sectional Area

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For solids whose cross-sectional areas vary in a predictable way, volume can be determined by integrating these areas along an axis perpendicular to the slices. This approach is particularly useful for polyhedral solids, where classical geometric formulas may not be immediately applicable. A tetrahedron provides a clear example of how cross-sectional integration can be applied to a three-dimensional object with continuously changing geometry.Consider a tetrahedron with height h and a base that...
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Unsoundness of Aggregate due to Volume Change01:26

Unsoundness of Aggregate due to Volume Change

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Unsoundness in aggregates due to volume changes is primarily caused by the physical alterations aggregates undergo, such as freezing and thawing, thermal changes, and wetting and drying. Unsound aggregates, when subjected to these changes, result in volume change upon disintegration. This, in turn, contributes to the deterioration of concrete, including scaling, pop-outs, and cracking. Particular types of aggregates, such as porous flints, cherts, and those containing clay minerals, are...
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Lattice Centering and Coordination Number02:33

Lattice Centering and Coordination Number

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The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
Types of Unit Cells
Imagine taking a large number of identical...
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Cluster Sampling Method01:20

Cluster Sampling Method

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Appropriate sampling methods ensure that samples are drawn without bias and accurately represent the population. Because measuring the entire population in a study is not practical, researchers use samples to represent the population of interest.
To choose a cluster sample, divide the population into clusters (groups) and then randomly select some of the clusters. All the members from these clusters are in the cluster sample. For example, if you randomly sample four departments from your...
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Uniform Depth Channel Flow: Problem Solving01:18

Uniform Depth Channel Flow: Problem Solving

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To calculate the flow rate for a trapezoidal channel, first, identify the bottom width, side slope, and flow depth of the channel. The cross-sectional area (A) corresponding to the depth of flow (y), channel bottom width (B), and side slope (θ) is determined by:Next, calculate the wetted perimeter, which includes the bottom width and the sloped side lengths in contact with the water. Using the values of the cross-sectional area and the wetted perimeter, determine the hydraulic radius by...
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Sampling Plans01:23

Sampling Plans

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Sampling is a crucial step in analytical chemistry, allowing researchers to collect representative data from a large population. Common sampling methods include random, judgmental, systematic, stratified, and cluster sampling.
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Related Experiment Video

Updated: Mar 7, 2026

Volume Segmentation and Analysis of Biological Materials Using SuRVoS Super-region Volume Segmentation Workbench
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Volume Segmentation and Analysis of Biological Materials Using SuRVoS Super-region Volume Segmentation Workbench

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Parallel Locally-Ordered Clustering for Bounding Volume Hierarchy Construction.

Daniel Meister, Jiri Bittner

    IEEE Transactions on Visualization and Computer Graphics
    |February 18, 2017
    PubMed
    Summary
    This summary is machine-generated.

    We developed a new parallel algorithm for building Bounding Volume Hierarchies (BVHs) using clustering. This method significantly reduces build times and speeds up ray tracing performance in GPU applications.

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    Spatial Separation of Molecular Conformers and Clusters
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    Area of Science:

    • Computer Graphics
    • Parallel Algorithms
    • Computational Geometry

    Background:

    • Bounding Volume Hierarchies (BVHs) are crucial for efficient ray tracing.
    • Existing BVH construction methods can be computationally expensive, especially for complex scenes.
    • Massively parallel approaches are needed to leverage modern hardware for faster BVH generation.

    Purpose of the Study:

    • To introduce a novel, massively parallel algorithm for constructing Bounding Volume Hierarchies (BVHs).
    • To improve the efficiency of BVH construction and subsequent ray tracing performance.
    • To leverage locally-ordered agglomerative clustering and Morton curve ordering for parallel neighbor finding.

    Main Methods:

    • A novel massively parallel construction algorithm for BVHs.
    • Utilizes locally-ordered agglomerative clustering for iterative bottom-up merging of cluster pairs.
    • Employs Morton curve ordering to efficiently identify neighboring clusters in parallel.
    • Implementation in CUDA for GPU acceleration.

    Main Results:

    • Achieves up to a twofold reduction in BVH build times for complex scenes.
    • Provides up to 17 percent faster ray tracing times compared to state-of-the-art methods.
    • Demonstrates efficient parallel neighbor finding through Morton curve ordering.

    Conclusions:

    • The proposed algorithm offers significant performance improvements in both BVH construction and ray tracing.
    • The combination of agglomerative clustering and Morton curve ordering is effective for parallel BVH generation.
    • This method presents a viable and efficient solution for real-time rendering and complex scene processing on GPUs.