Abstract

In this paper, a dual imaging technique is used for high-precision reconstruction of an observed 3D scene. In contrast to stereo vision, dual imaging systems use a camera and a projector instead of a camera pair. We propose a multiresolution approach based on the sum-to-one transform, coupled with compressive sensing principles, for efficient estimation of the light transport matrix (LTM). The LTM contains information on both optical systems and the 3D scene. In our setup, the camera sensor is intentionally chosen to be low resolution to prove the future use of inexpensive sensors in nonvisible regions of the light spectrum, as well as the potential design of simplified multiview and light field acquisition systems. We show that a high-precision estimation of the LTM from a reduced set of measurements is possible. Virtual measurements, instead of physical, are conducted to obtain the 3D reconstruction. We show that 3D scene reconstruction from the proposed virtual measurements corresponds with the actual physical acquisition. Moreover, this approach provides much more detail in the reconstruction. The computational complexity of the proposed methods is reduced to such a level that practical implementations are feasible.

Highlights

  • The resolution of imaging sensors represents a limit on the amount of detail that we can reconstruct from an observed scene

  • The projector must operate in native resolution, and the resolution of the PC video controller has to match the native resolution of the projector in order to avoid potential spatial resampling

  • In this paper, we present a method for fast light transport matrix estimation based on sum-to-one transformation and compressive sensing principles

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Summary

Introduction

The resolution of imaging sensors represents a limit on the amount of detail that we can reconstruct from an observed scene. This limit is troublesome for imaging in nonvisible regions of the light spectrum and in multiview and light field imaging systems. Helmholtz reciprocity [1], [2] enables efficient modeling of light transport between a light source and a photosensor. It states that incoming and outgoing light paths can be considered as reversals of each other without affecting the bidirectional reflectance distribution function (BRDF). Helmholtz reciprocity is typically summarized by an equation describing the symmetry of radiance between incoming and outgoing

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