Implicit Surface Representations As Layers in Neural Networks

Author(s):  
Mateusz Michalkiewicz ◽  
Jhony Kaesemodel Pontes ◽  
Dominic Jack ◽  
Mahsa Baktashmotlagh ◽  
Anders Eriksson
2006 ◽  
Vol 159 ◽  
pp. S164-S174 ◽  
Author(s):  
Dirk Vandermeulen ◽  
Peter Claes ◽  
Dirk Loeckx ◽  
Sven De Greef ◽  
Guy Willems ◽  
...  

1996 ◽  
Vol 118 (1) ◽  
pp. 45-52 ◽  
Author(s):  
Joseph Pegna ◽  
Franz-Erich Wolter

A novel technique for designing curves on surfaces is presented. The design specifications for this technique derive from other works on curvature continuous surface fairing. Briefly stated, the technique must provide a computationally efficient method for the design of surface curves that is applicable to a very general class of surface formulations. It must also provide means to define a smooth natural map relating two or more surface curves. The resulting technique is formulated as a geometric construction that maps a space curve onto a surface curve. It is designed to be coordinate independent and provides isoparametric maps for multiple surface curves. Generality of the formulation is attained by solving a tensorial differential equation formulated in terms of local differential properties of the surfaces. For an implicit surface, the differential equation is solved in three-space. For a parametric surface the tensorial differential equation is solved in the parametric space associated with the surface representation. This technique has been tested on a broad class of examples including polynomials, splines, transcendental parametric and implicit surface representations.


Author(s):  
Guoyu Lu ◽  
Li Ren ◽  
Abhishek Kolagunda ◽  
Xiaolong Wang ◽  
Ismail B. Turkbey ◽  
...  

Author(s):  
Nicolas Boisset ◽  
Jean-Christophe Taveau ◽  
Jean Lamy ◽  
Terence Wagenknecht ◽  
Michael Radermacher ◽  
...  

Hemocyanin, the respiratory pigment of the scorpion Androctonus australis is composed of 24 kidney shaped subunits. A model of architecture supported by many indirect arguments has been deduced from electron microscopy (EM) and immuno-EM. To ascertain, the disposition of the subunits within the oligomer, the 24mer was submitted to three-dimensional reconstruction by the method of single-exposure random-conical tilt series.A sample of native hemocyanin, prepared with the double layer negative staining technique, was observed by transmisson electron microscopy under low-dose conditions. Six 3D-reconstructions were carried out indenpendently from top, side and 45°views. The results are composed of solid-body surface representations, and slices extracted from the reconstruction volume.The main two characters of the molecule previously reported by Van Heel and Frank, were constantly found in the solid-body surface representations. These features are the presence of two different faces called flip and flop and a rocking of the molecule around an axis passing through diagonnally opposed hexamers. Furthermore, in the solid-body surface of the top view reconstruction, the positions and orientations of the bridges connecting the half molecules were found in excellent agreement with those predicted by the model.


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