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Theory & Practice of Analytic Hyperplane Optimization.

W W Rozeboom

    Multivariate Behavioral Research
    |January 20, 2016
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    Summary

    This study introduces a framework to understand analytical methods for subjective rotation to oblique simple structure. Performance tests of major variants within the HYBALL program are reported.

    Area of Science:

    • Geosciences
    • Structural Geology
    • Geophysics

    Background:

    • Subjective rotation is a common technique in structural geology and geophysics.
    • Analytical methods exist to emulate subjective rotation to oblique simple structure.
    • The effectiveness of these methods varies, necessitating a structured comparison.

    Purpose of the Study:

    • To develop a theoretical framework for understanding analytical methods of subjective rotation.
    • To evaluate the performance of major variants of these methods.
    • To implement and test these variants within the HYBALL rotation program.

    Main Methods:

    • Development of a theoretical framework for analytical emulation of subjective rotation.
    • Implementation of major subjective rotation variants within the HYBALL rotation program.

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  • Performance testing of the implemented rotation variants.

    • Main Results:

    • The study provides a comprehensive theoretical framework for subjective rotation emulation.
    • Performance tests reveal varying effectiveness among different analytical variants.
    • Results highlight the practical performance of key methods within the HYBALL program.

    Conclusions:

    • A unified theoretical understanding of subjective rotation methods is established.
    • The HYBALL program provides a platform for robust performance evaluation.
    • Findings guide the selection of effective analytical techniques for oblique simple structure.