From Capture to Simulation - Connecting Forward and Inverse Problems in Fluids
We explore the connection between fluid capture, simulation
and proximal methods, a class of algorithms commonly used
for inverse problems in image processing and computer
vision. Our key finding is that the proximal operator
constraining fluid velocities to be divergence-free is
directly equivalent to the pressure-projection methods
commonly used in incompressible flow solvers. This
observation lets us treat the inverse problem of fluid
tracking as a constrained flow problem all while working in
an efficient, modular framework. In addition it lets us
tightly couple fluid simulation into flow tracking,
providing a global prior that significantly increases
tracking accuracy and temporal coherence as compared to
previous techniques. We demonstrate how we can use these
improved results for a variety of applications, such as
re-simulation, detail enhancement, and domain
modification. We furthermore give an outlook of the
applications beyond fluid tracking that our proximal
operator framework could enable by exploring the connection
of deblurring and fluid guiding.
Projects
Ilya Reshetouski, Alkhazur Manakov, Hans-Peter Seidel, Ivo Ihrke
In: Proceedings of CVPR 2011 (oral).
Go to project listIn: Proceedings of CVPR 2011 (oral).
Abstract
Three-dimensional kaleidoscopic imaging, a promising alternative for recording multi-view imagery. The main limitation of multi-view reconstruction techniques is the limited number of views that are available from multi-camera systems, especially for dynamic scenes. Our new system is based on imaging an object inside a kaleidoscopic mirror system. We show that this approach can generate a large number of high-quality views well distributed over the hemisphere surrounding the object in a single shot. In comparison to existing multi-view systems, our method offers a number of advantages: it is possible to operate with a single camera, the individual views are perfectly synchronized, and they have the same radiometric and colorimetric properties. We describe the setup both theoretically, and provide methods for a practical implementation. Enabling interfacing to standard multi-view algorithms for further processing is an important goal of our techniques.
Project Page Slides Bibtex
@inproceedings{Reshetouski11:TKI,
author = {Ilya Reshetouski and Alkhazur Manakov and Hans-Peter Seidel and Ivo Ihrke},
title = {Three-Dimensional Kaleidoscopic Imaging},
booktitle = {IEEE Conference on Computer Vision and Pattern Recognition (CVPR)},
year = 2011,
pages = {353--360},
}
author = {Ilya Reshetouski and Alkhazur Manakov and Hans-Peter Seidel and Ivo Ihrke},
title = {Three-Dimensional Kaleidoscopic Imaging},
booktitle = {IEEE Conference on Computer Vision and Pattern Recognition (CVPR)},
year = 2011,
pages = {353--360},
}