Association Fields via Cuspless Sub-Riemannian Geodesics in SE(2)

Left-invariant parabolic evolutions on $SE(2)$ and contour enhancement via invertible orientation scores Part II: Nonlinear left-invariant diffusions on invertible orientation scores

(2015) Remco Duits et al.   QUARTERLY OF APPLIED MATHEMATICS

Left-invariant parabolic evolutions on $SE(2)$ and contour enhancement via invertible orientation scores Part I: Linear left-invariant diffusion equations on $SE(2)$

(2015) Remco Duits et al.   QUARTERLY OF APPLIED MATHEMATICS

Anthropomorphic Image Reconstruction via Hypoelliptic Diffusion

(2012) Ugo Boscain et al.   SIAM JOURNAL ON CONTROL AND OPTIMIZATION

A Tangent Bundle Theory for Visual Curve Completion

(2011) Guy Ben-Yosef et al.   IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE

A model of natural image edge co-occurrence in the rototranslation group

(2011) G. Sanguinetti et al.   JOURNAL OF VISION

A Fast Algorithm for Euler's Elastica Model Using Augmented Lagrangian Method

(2011) Xue-Cheng Tai et al.   SIAM Journal on Imaging Sciences

Cut locus and optimal synthesis in the sub-Riemannian problem on the group of motions of a plane

(2010) Yuri L. Sachkov   ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS

Left-Invariant Diffusions on the Space of Positions and Orientations and their Application to Crossing-Preserving Smoothing of HARDI images

(2010) Remco Duits et al.   INTERNATIONAL JOURNAL OF COMPUTER VISION

Existence of planar curves minimizing length and curvature

(2010) Ugo Boscain et al.   Proceedings of the Steklov Institute of Mathematics

Maxwell strata in sub-Riemannian problem on the group of motions of a plane

(2009) Igor Moiseev et al.   ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS

Conjugate and cut time in the sub-Riemannian problem on the group of motions of a plane

(2009) Yuri L. Sachkov   ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS

Crossing-Preserving Coherence-Enhancing Diffusion on Invertible Orientation Scores

(2009) Erik Franken et al.   INTERNATIONAL JOURNAL OF COMPUTER VISION

The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups

(2009) Andrei Agrachev et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Minimal Surfaces in the Roto-Translation Group with Applications to a Neuro-Biological Image Completion Model

(2009) Robert K. Hladky et al.   JOURNAL OF MATHEMATICAL IMAGING AND VISION

Projective Reeds-Shepp car onS2with quadratic cost

(2008) Ugo Boscain et al.   ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS

Conjugate Points in the Euler Elastic Problem

(2008) Yu. L. Sachkov   JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS

Maxwell strata in the Euler elastic problem

(2008) Yu. L. Sachkov   JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS