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Related Concept Videos

Bootstrapping01:24

Bootstrapping

The term "bootstrap" originated in the 19th century as a metaphor for self-improvement or achieving something independently, without external assistance. This concept extends to statistical bootstrapping, a self-contained method for estimating population parameters through resampling, even though it can be computationally intensive. Developed by the American statistician Dr. Bradley Efron in 1979, bootstrapping provides a robust way to perform inference when the original sample size is small or...
Methods of Obtaining Topography01:25

Methods of Obtaining Topography

Topography involves measuring and mapping land elevations, natural features, and artificial structures to create accurate representations of the terrain. Topographic surveying relies on traditional and modern methods, each with distinct advantages and limitations.Traditional Surveying Methods:Transit stadia surveys and plane table surveys were widely used traditional surveying methods. These techniques relied on instruments like theodolites and stadia rods for measuring distances and angles,...
Profile Leveling and Cross Sections01:26

Profile Leveling and Cross Sections

Profile leveling and cross-sections are surveying methods used to determine and document terrain elevations for infrastructure projects such as highways, railroads, canals, and pipelines. These methods provide data for earthwork planning and alignment of proposed routes.  Profile leveling involves measuring elevations along a fixed line to create a vertical terrain profile. A surveyor sets up a leveling instrument at the benchmark (BM) and records a backsight (BS) to determine the instrument's...
Response Surface Methodology01:16

Response Surface Methodology

Response Surface Methodology (RSM) is a collection of statistical and mathematical techniques used to develop, improve, and optimize processes. It is particularly valuable when many input variables or factors potentially influence a response variable.
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Topographic Surveying and Contours01:29

Topographic Surveying and Contours

Topographic surveying is critical for documenting the Earth's surface, focusing on capturing elevations, slopes, and natural and man-made features. It is essential in construction planning, water resource management, and land-use analysis. The primary outcome of such surveys is a topographic map, which uses contour lines to visually represent the shape and slope of the terrain, providing valuable insights into the landscape's characteristics.Contour lines are fundamental to understanding the...
Eccentric Axial Loading in a Plane of Symmetry01:16

Eccentric Axial Loading in a Plane of Symmetry

Eccentric axial loading occurs when an axial load is applied away from the centroidal axis of a structural member. This scenario is common in engineering, where structural elements may not be directly aligned due to various design or functional requirements.

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Related Experiment Video

Updated: Jun 15, 2026

Visualization Method for Proprioceptive Drift on a 2D Plane Using Support Vector Machine
07:05

Visualization Method for Proprioceptive Drift on a 2D Plane Using Support Vector Machine

Published on: October 27, 2016

Aspheric profile gauging using a bootstrap data interpretation technique.

J D Lytle, A L Palmer

    Applied Optics
    |March 9, 2010
    PubMed
    Summary
    This summary is machine-generated.

    This study simplifies electromechanical gauging of steep aspheric profiles. It uses lens design data to directly calculate probe tip coordinates, avoiding complex iterative computations for accurate surface measurement.

    Related Experiment Videos

    Last Updated: Jun 15, 2026

    Visualization Method for Proprioceptive Drift on a 2D Plane Using Support Vector Machine
    07:05

    Visualization Method for Proprioceptive Drift on a 2D Plane Using Support Vector Machine

    Published on: October 27, 2016

    Area of Science:

    • Optical Engineering
    • Metrology
    • Surface Metrology

    Background:

    • Electromechanical gauging of steep aspheric profiles presents challenges due to complex probe tip-asphere interactions.
    • Current methods for determining the contact point often involve laborious iterative calculations.

    Purpose of the Study:

    • To develop a more efficient method for electromechanical gauging of steep aspheric surfaces.
    • To leverage existing lens design data to simplify probe tip coordinate calculation.

    Main Methods:

    • Utilizing sag information generated by lens design software.
    • Developing a direct calculation method for probe tip coordinates based on aspheric prescription data.

    Main Results:

    • A direct solution for probe tip coordinates as a function of the aspheric prescription was established.
    • The proposed method bypasses the need for iterative solutions, reducing computational effort.

    Conclusions:

    • The use of conventional sag data offers a shortcut for accurate electromechanical gauging of aspheric profiles.
    • This approach significantly streamlines the measurement process for complex optical surfaces.