scispace - formally typeset
Proceedings ArticleDOI

Constrained viewpoint from occluding contour

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
More filters
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

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.
Journal ArticleDOI

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

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
More filters
Journal ArticleDOI

Three-dimensional object recognition from single two-dimensional images

TL;DR: It is argued that similar mechanisms and constraints form the basis for recognition in human vision.
Book

Solid Shape

Book

Object Recognition by Computer: The Role of Geometric Constraints

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.
Journal ArticleDOI

Recognizing solid objects by alignment with an image

TL;DR: A new method for computing a transformation from a three-dimensional model coordinate frame to the two-dimensional image coordinate frame, using three pairs of model and image points, is developed, showing that this transformation always exists for three noncollinear points, and is unique up to a reflective ambiguity.
Journal ArticleDOI

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.
Related Papers (5)