# View synthesis of scenes with multiple independently translating objects from uncalibrated views

13 Jan 2006-pp 460-469

TL;DR: A voxel-based volumetric scene reconstruction scheme is used to obtain a scene model and synthesize views of the entire scene using an affine coordinate system and experimental results are presented to validate the technique.

Abstract: We propose a technique for view synthesis of scenes with static objects as well as objects that translate independent of the camera motion. Assuming the availability of three vanishing points in general position in the given views, we set up an affine coordinate system in which the static and moving points are reconstructed and the translations of the dynamic objects are recovered. We then describe how to synthesize new views corresponding to a completely new camera specified in the affine space with new translations for the dynamic objects. As the extent of the synthesized scene is restricted by the availability of corresponding points, we use a voxel-based volumetric scene reconstruction scheme to obtain a scene model and synthesize views of the entire scene. We present experimental results to validate our technique.

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01 Jan 1999

TL;DR: A perspective (central) projection camera is represented by a matrix that can be computed from the correspondence of four (or more) points.

Abstract: A perspective (central) projection camera is represented by a matrix. The most general perspective transformation transformation between two planes (a world plane and the image plane, or two image planes induced by a world plane) is a plane projective transformation. This can be computed from the correspondence of four (or more) points. The epipolar geometry between two views is represented by the fundamental matrix. This can be computed from the correspondence of seven (or more) points. Imaging Geometry

1,301 citations

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TL;DR: This paper introduces a simple extension to image morphing that correctly handles 3D projective camera and scene transformations and works by prewarping two images prior to computing a morph and then postwarped the interpolated images.

Abstract: Image morphing techniques can generate compelling 2D transitions between images. However, differences in object pose or viewpoint often cause unnatural distortions in image morphs that are difficult to correct manually. Using basic principles of projective geometry, this paper introduces a simple extension to image morphing that correctly handles 3D projective camera and scene transformations. The technique, called view morphing, works by prewarping two images prior to computing a morph and then postwarping the interpolated images. Because no knowledge of 3D shape is required, the technique may be applied to photographs and drawings, as well as rendered scenes. The ability to synthesize changes both in viewpoint and image structure affords a wide variety of interesting 3D effects via simple image transformations. CR

844 citations

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TL;DR: The problem of reconstructing the 3D coordinates of a moving point seen from a monocular moving camera is considered, i.e., to reconstruct moving objects from line-of-sight measurements only, and the solutions for points moving along a straight-line and along conic-section trajectories are investigated.

Abstract: We consider the problem of reconstructing the 3D coordinates of a moving point seen from a monocular moving camera, i.e., to reconstruct moving objects from line-of-sight measurements only. The task is feasible only when some constraints are placed on the shape of the trajectory of the moving point. We coin the family of such tasks as "trajectory triangulation." We investigate the solutions for points moving along a straight-line and along conic-section trajectories, We show that if the point is moving along a straight line, then the parameters of the line (and, hence, the 3D position of the point at each time instant) can be uniquely recovered, and by linear methods, from at least five views. For the case of conic-shaped trajectory, we show that generally nine views are sufficient for a unique reconstruction of the moving point and fewer views when the conic is of a known type (like a circle in 3D Euclidean space for which seven views are sufficient). The paradigm of trajectory triangulation, in general, pushes the envelope of processing dynamic scenes forward. Thus static scenes become a particular case of a more general task of reconstructing scenes rich with moving objects (where an object could be a single point).

229 citations

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TL;DR: The paper's second contribution is to constrain the generated views to lie in the space of images whose texture statistics are those of the input images, which amounts to an image-based prior on the reconstruction which regularizes the solution, yielding realistic synthetic views.

Abstract: Given a set of images acquired from known viewpoints, we describe a method for synthesizing the image which would be seen from a new viewpoint. In contrast to existing techniques, which explicitly reconstruct the 3D geometry of the scene, we transform the problem to the reconstruction of colour rather than depth. This retains the benefits of geometric constraints, but projects out the ambiguities in depth estimation which occur in textureless regions. On the other hand, regularization is still needed in order to generate high-quality images. The paper's second contribution is to constrain the generated views to lie in the space of images whose texture statistics are those of the input images. This amounts to an image-based prior on the reconstruction which regularizes the solution, yielding realistic synthetic views. Examples are given of new view generation for cameras interpolated between the acquisition viewpoints - which enables synthetic steadicam stabilization of a sequence with a high level of realism.

194 citations

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