دورية أكاديمية

Deep Compositing Using Lie Algebras.

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]
Copyright of ACM Transactions on Graphics is the property of Association for Computing Machinery and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
قاعدة البيانات: Complementary Index
الوصف
تدمد:07300301
DOI:10.1145/3023386