Three-Dimensional Computer Vision: A Geometric Viewpoint

By P. K. Ghosh, Sudhir P. Mudur. 1995

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Citations in the corpus

Lifting Object Detection Datasets into 3D (2015, background): “While the popularity of model-based recognition was falling, interest in multiview 3D reconstruction was rising, powered by breakthroughs in afﬁne structure-from-motion [18], [19], [20] and the adoption of projective geometry [21].”
Three-dimensional computer-aided diagnosis scheme for detection of colonic polyps (2001, background): “Then theprincipal curvatures and [30], [33] are defined as”
Recent developments on direct relative orientation (2006, methodology): “Key words: Relative Orientation, Fivepoint Method, Sixpoint Method, Gröbner Basis Preprint submitted to Elsevier Science 9 January 2006”
Intelligent multi-camera video surveillance: A review (2013, background): “There has been a huge literature on calibrating camera views with respect to a 3D world coordinate system (Faugeras, 1993; Triggs, 1999; Jones et al., 2002; Hartley and Zisserman, 2004).”
The fundamental matrix: Theory, algorithms, and stability analysis (2004, methodology): “A special case is the case where the change of coordinates represents the change from the pixel coordinates to the normalized pixel coordinates (Faugeras, 1992; Faugeras, 1993), accounting for the internal geometry of the camera.”
Review of Stereo Vision Algorithms: From Software to Hardware (2008, background): “The point-by-point matching between the two images from the stereo setup derives the depth images, or the so called disparity maps, (Faugeras 1993).”
Real-Time Visual Tracking of Complex Structures (2002, methodology): “These are the focal length, aspect ratio, u and v coordinates of the principal point, and the skew [14].”
View Invariance for Human Action Recognition (2005, background): “Faugeras (1993), drawing on Marr and Nishihara’s, (1978) work on evaluating the effectiveness of a 3D shape representation, lists four criteria for judging the effectiveness of a geometric primitive representation: minimalism, completeness, continuity and uniqueness.”
Hierarchical implicit surface joint limits for human body tracking (2005, background): “These properties have, of course, been recognized and exploited in our field for many years [23, 9].”
Stable real-time 3D tracking using online and offline information (2004, background): “The latter do not jitter but tend to drift or even to lose track altogether.”
Introduction to Autonomous Mobile Robots (2004, methodology): “The Hough transform is a simple tool for extracting edges of a particular shape[16, 18].”
A unified mathematical language for physics and engineering in the 21st century (2000, background): “In fact, since the mid-1980s much of computer vision has been written in the language of projective geometry (Faugeras 1993).”
Structure from motion without correspondence (2000, methodology): “A priori knowledge of camera parameters or epipolar geometry can simplify the correspondence problem [6].”
Bayesian Model Estimation and Selection for Epipolar Geometry and Generic Manifold Fitting (2002, result): “In our and others’ previous work (Faugeras, 1993; Hartley and Zisserman, 2000; Torr, 2000; Torr and Zisserman, 2000) a maximum likelihood formulation has been described.”