Proceedings ArticleDOI
Constrained viewpoint from occluding contour
W.B. Seales,Charles R. Dyer +1 more
- pp 54-63
TLDR
The paper addresses the problem of how to constrain the set of viewpoints from which a 3D model will project to a given a set of occluding contour features with a new approach that relies on a precomputed occluded contour representation for polyhedral models that makes T-junctions, contour terminals and the change in contour topology explicit.Abstract:
The paper addresses the problem of how to constrain the set of viewpoints from which a 3D model will project to a given a set of occluding contour features. The approach is new in that it relies on a precomputed occluding contour representation for polyhedral models that makes T-junctions, contour terminals and the change in contour topology explicit. Potential model-image correspondences of occluding contour features can be formulated as regions in viewpoint space defined by constraint boundaries since features are only visible from a restricted set of viewpoints. The implementation results demonstrate that T-junction features can efficiently constrain the space of viewpoints to produce a small, bounded viewpoint set that accounts for the occluding contour features. >read more
Citations
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Journal ArticleDOI
Computing exact aspect graphs of curved objects: algebraic surfaces
TL;DR: The algorithm is based on a catalog of visual events available from singularity theory and uses curve tracing, cell decomposition, homotopy continuation, and ray tracing to construct the regions of the view sphere delineated by visual-event curves.
Book
Symbolic and Numerical Computation for Artificial Intelligence
TL;DR: A Mathematical Framework for Combinational/Structural analysis of Linear Dynamical Systems by Means of Matroids and Symbolic Methods for the Simulation of Planar Mechanical Systems in Design.
Image-based transformation of viewpoint and scene appearance
Steven M. Seitz,Charles R. Dyer +1 more
TL;DR: This thesis addresses the problem of synthesizing images of real scenes under threedimensional transformations in viewpoint and appearance and proves that all views on the line segment between the two camera centers are uniquely determined from two uncalibrated views of a scene.
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On using CAD models to compute the pose of curved 3D objects
TL;DR: Elimination theory provides a method for constructing an implicit equation that relates image observables to the three-dimensional position and orientation of object models, and applications to object recognition are described.
Journal ArticleDOI
Finite-resolution aspect graphs of polyhedral objects
Ilan Shimshoni,Jean Ponce +1 more
TL;DR: This work presents a catalogue of visual events for polyhedral objects and gives an algorithm for computing the aspect graph and enumerating all qualitatively different aspects, and presents results.
References
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Three-dimensional object recognition from single two-dimensional images
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TL;DR: This book describes an extended series of experiments into the role of geometry in the critical area of object recognition, providing precise definitions of the recognition and localization problems, the methods used to address them, the solutions to these problems, and the implications of this analysis.
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Recognizing solid objects by alignment with an image
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Interpreting line drawings of curved objects
TL;DR: This paper presents the first mathematically rigorous scheme for labelling line drawings of the class of scenes described, which is able to catalog all local labelling possibilities for the different types of junctions in a line drawing.
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