التفاصيل البيبلوغرافية
العنوان: |
Deep Compositing Using Lie Algebras. |
المؤلفون: |
Duff, Tom |
المصدر: |
ACM Transactions on Graphics; Jun2017, Vol. 36 Issue 3, p1-12, 12p |
مصطلحات موضوعية: |
COMPOSITING (Cinematography), LIE algebras, DIGITAL image processing, RESAMPLING (Statistics), COMPUTER algorithms |
مستخلص: |
Deep compositing is an important practical tool in creating digital imagery, but there has been little theoretical analysis of the underlying mathematical operators. Motivated by finding a simple formulation of the merging operation on OpenEXR-style deep images, we show that the Porter-Duff over function is the operator of a Lie group. In its corresponding Lie algebra, the splitting and mixing functions that OpenEXR deep merging requires have a particularly simple form. Working in the Lie algebra, we present a novel, simple proof of the uniqueness of the mixing function. The Lie group structure has many more applications, including new, correct resampling algorithms for volumetric images with alpha channels, and a deep image compression technique that outperforms that of OpenEXR. [ABSTRACT FROM AUTHOR] |
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قاعدة البيانات: |
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