Authors:
Paria Mehrani
and
James H. Elder
Affiliation:
York University, Canada
Keyword(s):
Shape Estimation, 3D Shape Reconstruction, Single-view Reconstruction, Shape-from-contour.
Related
Ontology
Subjects/Areas/Topics:
Computer Vision, Visualization and Computer Graphics
;
Features Extraction
;
Image and Video Analysis
;
Shape Representation and Matching
Abstract:
Single-view reconstruction of a smooth 3D object is an ill-posed problem. Surface cues such as shading and
texture provide local constraints on shape, but these cues can be weak, making it a challenge to recover globally
correct models. The bounding contour can play an important role in constraining this global integration. Here
we focus in particular on information afforded by the overall elongation (aspect ratio) of the bounding contour.
We hypothesize that the tendency of objects to be relatively compact and the generic view assumption together
induce a statistical dependency between the observed elongation of the object boundary and the coarse 3D
shape of the solid object, a dependency that could potentially be exploited by single-view methods. To test
this hypothesis we assemble a new dataset of solid 3D shapes and study the joint statistics of ellipsoidal
approximations to these shapes and elliptical approximations of their orthographically projected boundaries.
Optimal estimat
ors derived from these statistics confirm our hypothesis, and we show that these estimators
can be used to generate coarse 3D shape-pose estimates from the bounding contour that are significantly and
substantially superior to competing methods.
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