Volume/surface octrees for the representation of three-dimensional objects
Computer Vision, Graphics, and Image Processing
Octrees of objects in arbitrary motion: representation and efficiency
Computer Vision, Graphics, and Image Processing
Line drawings of octree-represented objects
ACM Transactions on Graphics (TOG)
Multiresolution, incremental generation of 3D computer models from video data
SMA '93 Proceedings on the second ACM symposium on Solid modeling and applications
Using Geometric Distance Fits for 3-D Object Modeling and Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
How Far 3D Shapes Can Be Understood from 2D Silhouettes
IEEE Transactions on Pattern Analysis and Machine Intelligence
Autonomous Exploration: Driven by Uncertainty
IEEE Transactions on Pattern Analysis and Machine Intelligence
An Integral Approach to Free-Form Object Modeling
IEEE Transactions on Pattern Analysis and Machine Intelligence
Registration and Integration of Multiple Object Views for 3D Model Construction
IEEE Transactions on Pattern Analysis and Machine Intelligence
Occlusions as a Guide for Planning the Next View
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Visual Hull Concept for Silhouette-Based Image Understanding
IEEE Transactions on Pattern Analysis and Machine Intelligence
Principal Component Analysis with Missing Data and Its Application to Polyhedral Object Modeling
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Visual Hull of Smooth Curved Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape-From-Silhouette Across Time Part I: Theory and Algorithms
International Journal of Computer Vision
Robust Structure and Motion from Outlines of Smooth Curved Surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
What's NEXT? An interactive next best view approach
Pattern Recognition
International Journal of Computer Vision
The visual hull of piecewise smooth objects
Computer Vision and Image Understanding
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An algorithm to construct the octree representation of a three-dimensional object from silhouette images of the object is described. The images must be obtained from thirteen viewing directions corresponding to the three face views, six edge views, and four corner views of an upright cube. These views where chosen because they provide a simple relationship between pixels in the image and the octant labels in the octree, thus replacing the computation of detecting intersections between the octree space and the objects by a table lookup operation. The average ratio of the object volume to the octree volume is found to be greater than 90%. The sequential use made of the chosen viewing directions results in a coarse-to-fine acquisition of occupancy information. The number and order of the viewpoints used provides a mechanism for trading accuracy of the representation against the computational effort needed to obtain the representation.