An algebraic curve is defined as the zero set of a polynomial in two variables. Algebraic curves are practical for modeling shapes much more complicated than conics or superquadrics. The main… (More)

This paper presents new approaches to two fundamental 3D vision problems: 3D surface representation, and fast extraction of geometric information from this representation, particularly 3D alignment.… (More)

We present a novel algorithm based on “loop constraints” for assembling non-overlapping square-piece jigsaw puzzles where the rotation and the position of each piece are unknown. Our algorithm finds… (More)

New representations are introduced for handling 2D algebraic curves (implicit polynomial curves) of arbitrary degree in the scope of computer vision applications. These representations permit fast… (More)

IEEE Transactions on Pattern Analysis and Machine…

1986

New asymptotic methods are introduced that permit computationally simple Bayesian recognition and parameter estimation for many large data sets described by a combination of algebraic, geometric, and… (More)

IEEE Transactions on Pattern Analysis and Machine…

1987

The modeling and segmentation of images by MRF's (Markov random fields) is treated. These are two-dimensional noncausal Markovian stochastic processes. Two conceptually new algorithms are presented… (More)

We present a complete system for the purpose of automatically assembling 3D pots given 3D measurements of their fragments commonly called sherds. A Bayesian approach is formulated which, at present,… (More)