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Summed Area Tables for Cube Maps.

Yi Xiao, Tze-Yiu Ho, Chi-Sing Leung

    IEEE Transactions on Visualization and Computer Graphics
    |October 14, 2017
    PubMed
    Summary
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    This study introduces a new Summed Area Cube Map (SACM) structure for efficiently processing spherical data. The SACM structure, stored in standard cube map textures, enables faster rendering and integration on graphics hardware.

    Area of Science:

    • Computer Graphics
    • Image Processing
    • Computational Geometry

    Background:

    • The standard Summed Area Table (SAT) is effective for 2D rectangular data but cannot directly process cube maps due to the nature of spherical functions.
    • Directly applying 3D SAT to cube maps is computationally impractical for generation and storage.

    Purpose of the Study:

    • To propose a novel Summed Area Table structure specifically designed for cube maps.
    • To develop an efficient lookup algorithm for this new structure, enabling practical integration over spherical data.

    Main Methods:

    • Formulating cube map integration as a 3D integration over an auxiliary 3D function.
    • Developing the Summed Area Cube Map (SACM) data structure, which stores a specialized 3D SAT efficiently.
    • Implementing the SACM lookup algorithm for efficient execution on graphics hardware.

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    Main Results:

    • The proposed SACM structure allows for efficient storage within standard cube map textures.
    • The SACM lookup algorithm is implementable on current graphics hardware, offering performance benefits.
    • The SACM structure retains the advantageous properties of the original SAT.

    Conclusions:

    • The Summed Area Cube Map (SACM) provides an efficient solution for integrating spherical functions represented by cube maps.
    • This novel structure and algorithm facilitate practical and performant spherical data processing in computer graphics applications.