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This paper presents a 3D surface tracking algorithm which converts volumetric edge data to a surface model. Existing 3D model generation methods either threshold intensity data, which is sensitive to nonuniform illumination, or trace a surface from multiple layers of edge voxels, where a...
This paper addresses the problem of detecting mirror symmetries of 3D shapes. Unlike previous methods, which involve overall 3D shape data, our method uses a range image obtained from one viewpoint. Also, the proposed method can be applied to detection of local as well as global symmetries. The...
In this paper we present a computational approach for extracting three-dimensional structure of controllable resolution, depth of field, and accuracy, all made available at real-time speeds. This approach utilizes the spatial and the temporal gradients of the streams of images acquired using an...
Researchers in computer vision have primarily studied the problem of visual reconstruction of environmental structure that is plainly visible. In this paper, the conventional goals of visual reconstruction are generalized to include both visible and occluded forward facing surfaces. This larger...
Given two simple polygons P and Q in the plane and a translation vector t ∈ R 2 , the area-of-overlap function of P and Q is the function Ar( t ) = Area( P ∩ ( t + Q )), where t + Q denotes Q translated by t . This function has a number of applications in areas such as motion planning and...
This paper presents and analyzes a new constraint (the Collinear Point Constraint) for use in computing egomotion and detecting independently moving objects from image motion. The constraint provides an elegant means of cancelling the rotation of the observer while simultaneously providing...
A unified framework for 3-D shape reconstruction allows us to combine image-based and geometry-based information sources. The image information is akin to stereo and shape-from-shading, while the geometric information may be provided in the form of 3-D points, 3-D features, or 2-D silhouettes. A...
A global shape from shading algorithm which develops a technique to merge local shape from shading results obtained around singular points into the complete shape using the mountaineers theorem was recently presented in Kimmel and Bruckstein (1995). In this comment, we enhance this result by...
This paper considers the problem of 3D surface reconstruction of nonpolyhedral objects through a series of images taken by a moving camera. We propose a new direct method of surface reconstruction which is based on 3D regularized uniform bicubic B-spline surface patches. This reconstruction is...
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