Motion Blur for EWA Surface Splatting

• Published in: Computer graphics forum Vol. 29; no. 2; pp. 733 - 742
• Main Authors: Heinzle, Simon, Wolf, Johanna, Kanamori, Yoshihiro, Weyrich, Tim, Nishita, Tomoyuki, Gross, Markus
• Format: Journal Article
• Language: English
• Published: Oxford, UK Blackwell Publishing Ltd 01.05.2010
• Subjects: 3-D graphics; Algorithms; Approximation; Computer graphics; Image processing systems; Mathematical analysis; Mathematical models; Rendering; Temporal logic; Three dimensional
• ISSN: 0167-7055; 1467-8659
• DOI: 10.1111/j.1467-8659.2009.01643.x

This paper presents a novel framework for elliptical weighted average (EWA) surface splatting with time‐varying scenes. We extend the theoretical basis of the original framework by replacing the 2D surface reconstruction filters by 3D kernels which unify the spatial and temporal component of moving objects. Based on the newly derived mathematical framework we introduce a rendering algorithm that supports the generation of high‐quality motion blur for point‐based objects using a piecewise linear approximation of the motion. The rendering algorithm applies ellipsoids as rendering primitives which are constructed by extending planar EWA surface splats into the temporal dimension along the instantaneous motion vector. Finally, we present an implementation of the proposed rendering algorithm with approximated occlusion handling using advanced features of modern GPUs and show its capability of producing motion‐blurred result images at interactive frame rates.