Concept
Rigid transformation
Related publications (53)
3D Steerable CNNs: Learning Rotationally Equivariant Features in Volumetric Data
We present a convolutional network that is equivariant to rigid body motions. The model uses scalar-, vector-, and tensor fields over 3D Euclidean space to represent data, and equivariant convolutions to map between such representations. These SE(3)-equiva ...
NEURAL INFORMATION PROCESSING SYSTEMS (NIPS)2018Combine and conquer: Relating BIP and Reo
Coordination languages simplify design and development of concurrent systems. Particularly, exogenous coordination languages, like BIP and Reo, enable system designers to express the interactions among components in a system explicitly. A formal relation b ...
Elsevier Science Inc2017Omnidirectional bats, point-to-plane distances, and the price of uniqueness
Martin Vetterli, Ivan Dokmanic, Miranda Krekovic
We study simultaneous localization and mapping with a device that uses reflections to measure its distance from walls. Such a device can be realized acoustically with a synchronized collocated source and receiver; it behaves like a bat with no capacity for ...
Ieee2017The isostatic 3-body problem: a complete solution
Simon Nessim Henein, Florent Cosandier, Ilan Vardi, François Barrot, Johannes Richard Cornelis Geerit Kruis
Kinematic couplings are used when two rigid bodies need to be repeatedly and accurately positioned with respect to each other. They allow for sub-micron positioning repeatability by suppressing play and reducing strains in the bodies. Typical applications ...
2017Effect of static and kinematic boundary conditions on the out-of-plane response of brick masonry walls
The Unreinforced Wall (URM) elements that are most susceptible to out-of-plane failure are wall elements of the upper storeys where the accelerations are largest. In modern URM buildings with reinforced concrete slabs, the out-of-plane mechanism involves t ...
Taylor and Francis Group2016Look, no beacons! Optimal all-in-one EchoSLAM
Martin Vetterli, Ivan Dokmanic, Miranda Krekovic
We study the problem of simultaneously reconstructing a polygonal room and a trajectory of a device equipped with a (nearly) collocated omnidirectional source and receiver. The device measures arrival times of echoes of pulses emitted by the source and pic ...
2016Relax and Unfold: Microphone Localization with Euclidean Distance Matrices
Martin Vetterli, Ivan Dokmanic, Juri Ranieri
Recent methods for localization of microphones in a microphone array exploit sound sources at a priori unknown locations. This is convenient for ad-hoc arrays, as it requires little additional infrastructure. We propose a flexible localization algorithm by ...
2015Euclidean Distance Matrices: Essential Theory, Algorithms and Applications
Martin Vetterli, Ivan Dokmanic, Juri Ranieri, Reza Parhizkar
Euclidean distance matrices (EDMs) are matrices of the squared distances between points. The definition is deceivingly simple; thanks to their many useful properties, they have found applications in psychometrics, crystallography, machine learning, wireles ...
2015Relating BIP and Reo
Coordination languages simplify design and development of concurrent systems. Particularly, exogenous coordination languages, like BIP and Reo, enable system designers to express the interactions among components in a system explicitly. In this paper we es ...
2015Muscle Moment-Arms: A Key Element in Muscle-Force Estimation
Alexandre Terrier, Alain Farron, Philippe Müllhaupt, Christoph Anselm Engelhardt, David Ingram
A clear and rigorous definition of muscle moment-arms in the context of musculoskeletal systems modelling is presented, using classical mechanics and screw theory. The definition provides an alternative to the tendon excursion method, which can lead to inc ...
Taylor & Francis2015