Invectorsform, the result is an expression of the formt.12+34. Incombined_vectorform, the two vectors ofvectorsform are combined to obtain an expression of the formt+32t+4. Inparametricform, the expressions fromcombined_vectorform are used in equations to ...
we map each point in theR33D space to a unit vector pointing towards the closest surface point. We mathematically demonstrate that the surface points can be recovered at the−1level set of the flux density of VF. The proposed
M. Connecting multiple spatial scales to decode the population activity of grid cells. Sci. Adv. 1, e1500816 (2015). Article ADS PubMed PubMed Central Google Scholar Sarel, A., Finkelstein, A., Las, L. & Ulanovsky, N. Vectorial representation of spatial goals in the hippocampus of ...
Another type of volumetric representation used in scan planning and exploration is the 2D/3D vector field. Instead of occupancy information, the vector field holds a directional vector in each grid cell. This method is also referred to as the potential method [108]. The vector field is computed...
Place cells are spatially modulated neurons found in the hippocampus that underlie spatial memory and navigation: how these neurons represent 3D space is crucial for a full understanding of spatial cognition. We wirelessly recorded place cells in rats as
Being defined on a regular 3D grid and by explicitly encoding the closest surface points, that is tangent planes, vector fields provide direct access to the closest points thus avoiding all searches and rendering the computational complexity linear with respect to the quantity of measured data....
In this paper we reconsider a known technique for constructing strong MIP formulations for disjunctive constraints of the form $$x \in \bigcup _{i=1}^m P_i
6. The method of claim 1, wherein the warping of the second point includes generating a deformable volumetric reconstruction for a periocular region associated with the eye. 7. The method of claim 1, further comprising:disentangling a reflectance associated with environmental lighting; andrelighting ...
(Résolution de systèmes bivariés et topologie de courbes planes) In this thesis, we study form theoretical and practical perspectives the problem of solving systems of bivariate polynomials with integer coefficients. More precisely, we investigate the computation of a Rational Univariate Representation ...
“Man is to Woman as Brother is to Sister” can be generated through algebraic operations on the vector representations of these words such that the vector representation of “Brother” - ”Man” + ”Woman” produces a result which is closest to the vector representation of “Sister” in the...