Computational camera and illumination techniques for recovering "invisible" phenomenon

Date
2016
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University of Delaware
Abstract
The problem of modeling and reconstructing the "invisibles", e.g., specular or transparent objects such as 3D fluid wavefront and gas flows, has attracted much attention in recent years. Successful solutions can benefit numerous applications in oceanology, fluid mechanism and computer graphics as well as lead to new insights towards shape reconstruction algorithms. The problem, however, is inherently difficult for a number of reasons. First such objects do not have their own image. Instead, they borrow appearance from nearby diffuse objects. Second, determining the light path within these objects for shape reconstruction is non-trivial since refractions or reflections non-linearly alter the light paths. Finally, dynamic specular or transparent objects often exhibit spatially and temporally varying distortions that are hard to correct. To capture the "invisibles", most previous approaches are based on establishing point-pixel correspondences. It is well-known that point-pixel correspondences are under-constrained even for single reflection or refraction. In this dissertation, I propose to resolve the point-pixel ambiguity by using novel computational imaging devices that encodes illumination directions. In particular, I first developed a multi-view based solution for robustly capturing fast evolving fluid wavefronts.I constructed a portable camera array system as the main acquisition device. I elaborately designed the system to allow high-resolution and highspeed capture and addressed practical issues such as data streaming and storage and time-divided multiplexing. Then I exploit using Bokode - a computational optical device that emulates a pinhole projector - for capturing ray-ray correspondences which can then be used to directly recover the dynamic fluid surface normals. I further develop a robust feature matching algorithm based on the Active Appearance Model (AAM) to robustly establishing ray-ray correspondences. My solution results in an angularly sampled normal field and we derive a new angular-domain surface integration scheme to recover the surface from the normal fields. I also show another novel computational imaging solution to recover the dynamic gas flow by exploiting the light field probe (LF-Probe). A LF-probe resembles a viewdependent pattern where each pixel on the pattern maps to a unique ray. By observing the LF-probe through the gas flow, I acquire a dense set of ray-ray correspondences and then reconstruct their light paths. To recover the RIF, I use Fermat's Principle to correlate each light path with the RIF via a Partial Differential Equation (PDE). I then develop an iterative optimization scheme to solve for all light-path PDEs in conjunction. Finally, I extend my directional light coding approach to recover the ambient occlusion (AO) map of an object. In particular, I adopt a compressive sensing framework that captures the object under strategically coded lighting directions. I show that this incident illumination field exhibits some unique properties suitable for AO recovery. Experiments on synthetic and real scenes show that our approach is both reliable and accurate with significantly reduced size of input.
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