Regularization of inverse visual problems involving discontinuities
IEEE Transactions on Pattern Analysis and Machine Intelligence
Invariant surface characteristics for 3D object recognition in range images
Computer Vision, Graphics, and Image Processing - Lectures notes in computer science, Vol. 201 (G. Goos and J. Hartmanis, Eds.)
Visual reconstruction
The Computation of Visible-Surface Representations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Visible surface reconstruction via local minimax approximation
Pattern Recognition
One-Dimensional Regularization with Discontinuities
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computer Vision, Graphics, and Image Processing
Comparison of the Efficiency of Deterministic and Stochastic Algorithms for Visual Reconstruction
IEEE Transactions on Pattern Analysis and Machine Intelligence
Inferring Surface Trace and Differential Structure from 3-D Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Genetic Algorithms and Simulated Annealing
Genetic Algorithms and Simulated Annealing
From Images to Surfaces: A Computational Study of the Human Early Visual System
From Images to Surfaces: A Computational Study of the Human Early Visual System
Computational Geometry for Design and Manufacture
Computational Geometry for Design and Manufacture
A Storage-efficient Method for Construction of a Thiessen Triangulation
A Storage-efficient Method for Construction of a Thiessen Triangulation
Object recognition using vision and touch
Object recognition using vision and touch
IEEE Transactions on Pattern Analysis and Machine Intelligence
Edge-Preserving Image Denoising and Estimation of Discontinuous Surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
An adaptive window mechanism for image smoothing
Computer Vision and Image Understanding
Surface smoothing for enhancement of 3d data using curvature-based adaptive regularization
IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
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An algorithm for the reconstruction of visual surfaces from sparse data is proposed. An important aspect of this algorithm is that the surface estimated from the sparse data is approximately invariant with respect to rigid transformation of the surface in 3D space. The algorithm is based on casting the problem as an ill-posed inverse problem that must be stabilized using a priori information related to the image and constraint formation. To form a surface estimate that is approximately invariant with respect to viewpoint, the stabilizing information is based on invariant surface characteristics. With appropriate approximations, this results in a convex functional to minimize, which is then solved using finite element analysis. The relationship of this algorithm to several previously proposed reconstruction algorithms is discussed, and several examples that demonstrate its effectiveness in reconstructing viewpoint-invariant surface estimates are given.