On Recognizing and Positioning Curved 3-D Objects from Image Contours
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computing exact aspect graphs of curved objects: solid of revolution
International Journal of Computer Vision
Recognizing solid objects by alignment with an image
International Journal of Computer Vision
Finding the perspective projection of an axis of revolution
Pattern Recognition Letters
Using Extremal Boundaries for 3-D Object Modeling
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part II
Global bifurcation sets and stable projections of nonsingular algebraic surfaces
International Journal of Computer Vision
On using CAD models to compute the pose of curved 3D objects
CVGIP: Image Understanding - Special issue on directions in CAD-based vision
Surface shape from the deformation of apparent contours
International Journal of Computer Vision
Computing exact aspect graphs of curved objects: algebraic surfaces
International Journal of Computer Vision
Visual learning and recognition of 3-D objects from appearance
International Journal of Computer Vision
3D Surface Reconstruction Using Occluding Contours
International Journal of Computer Vision
Invariant-based recognition of complex curved 3D objects from image contours
Computer Vision and Image Understanding
The Challenge of Generic Object Recognition
Proceedings of the International NSF-ARPA Workshop on Object Representation in Computer Vision
Motion from the frontier of curved surfaces
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
On Pencils of Tangent Planes and the Recognition of Smooth 3D Shapes from Silhouettes
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part III
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This paper presents a new geometric relation between a solid bounded by a smooth surface and its silhouette in images formed under weak perspective projection. The relation has the potential to be used for recognizing complex 3-D objects from a single image. Objects are modeled by showing them to a camera without any knowledge of their motion. The main idea is to consider the dual of the 3-D surface and the family of dual curves of the silhouettes over all viewing directions. Occluding contours correspond to planar slices of the dual surface. We introduce an affine-invariant representation of this surface that can constructed from a sequence of images and allows an object to be recognized from arbitrary viewing directions. We illustrate the proposed object representation scheme through synthetic examples and image contours detected in real images.