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Shapes From Echoes: Uniqueness From Point-to-Plane Distance Matrices

Publications associées (32)

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Differential geometry applied to crystallography

Philippe Kocian

The mathematical facet of modern crystallography is essentially based on analytical geometry, linear algebra as well as group theory. This study endeavours to approach the geometry and symmetry of crystals using the tools furnished by differential geometry ...

EPFL2009

Embedded deformation for shape manipulation

Mark Pauly, Johannes Schmid

We present an algorithm that generates natural and intuitive deformations via direct manipulation for a wide range of shape representations and editing scenarios. Our method builds a space deformation represented by a collection of affine transformations o ...

2007

Partial and approximate symmetry detection for 3D geometry

Mark Pauly

"Symmetry is a complexity-reducing concept [...]; seek it every-where." - Alan J. Perlis Many natural and man-made objects exhibit significant symmetries or contain repeated substructures. This paper presents a new algorithm that processes geometric models ...

2006

Groupoid of orientational variants

Cyril Cayron

Daughter crystals in orientation relationship with a parent crystal are called variants. They can be created by a structural phase transition (Landau or reconstructive), by twinning or by precipitation. Internal and external classes of transformations defi ...

2006

Synthèse d'images moiré

Sylvain Chosson

We explore a new approach for synthesizing moiré images that can be used for authentication of documents. For synthesizing moiré images, we need two layers: a base layer made of replicated bands or parallelograms and a revealing layer made of transparent l ...

EPFL2006

Registration and visualization of transcranial magnetic stimulation on magnetic resonance images

Olivier Cuisenaire, Benoît Macq

We propose a method for the registration of MRI brain images with the physical space. Points on the patients scalp are acquired using a magnetic-field digitizer. The registration transform is the rigid transform that minimizes the mean square distance bet ...

IEEE2001

Distance transformations: fast algorithms and applications to medical image processing

Olivier Cuisenaire

Medical image processing is a demanding domain, both in terms of CPU and memory requirements. The volume of data to be processed is often large (a typical MRI dataset requires 10 MBytes) and many processing tools are only useful to the physician if they ar ...

1999

We propose in this paper a new approach to three-dimensional digital lines (3DDLs) based on the study of the integer lattice generated by the projection of Z3 onto an euclidean plane which reduces the problem to dimension 2. The many properties of this lat ...

1995

Time-variant displacement structure and interpolation problems

Ali H. Sayed

Derives a new recursive solution for a general time-variant interpolation problem of the Hermite-Fejer type, based on a fast algorithm for the recursive triangular factorization of time-variant structured matrices. The solution follows from studying the pr ...

IEEE1994

Lattice structures for time-variant interpolation problems

Ali H. Sayed

The authors derive a recursive solution for a general time-variant interpolation problem of the Hermite-Fejer type, based on a fast algorithm for the recursive triangular factorization of time-variant structured matrices. The solution follows from studying ...

1992