Common framework for “topographic” and “elastic” computations

Tereshko, Valery; Allinson, Nigel M.
February 2000
AIP Conference Proceedings;2000, Vol. 502 Issue 1, p124
Academic Journal
We have developed a common framework for topographic mapping and elastic net algorithms. The considered model is a net of stochastic neurons where steepest descent minimization of its free energy function results in a soft topographic mapping algorithm with elastic synaptic interactions. In a batch-mode, minimization of the free energy function results in an elastic net algorithm with lateral interactions. We show that elastic synaptic interactions can construct a topology in the system as well as the more usual lateral interactions. With no lateral and no synaptic interactions, lowering the temperature leads to a sequence of phase transitions from degenerate ordered to degenerate disordered configurations, and finally to complete disorder. The lateral and synaptic interactions can be viewed respectively as weak parametric and weak force perturbations stabilizing the topological order in the system. © 2000 American Institute of Physics.


Related Articles

  • A Variational Model for P+XS Image Fusion. Ballester, Coloma; Caselles, Vicent; Igual, Laura; Verdera, Joan; Roug�, Bernard // International Journal of Computer Vision;Aug2006, Vol. 69 Issue 1, p43 

    We propose an algorithm to increase the resolution of multispectral satellite images knowing the panchromatic image at high resolution and the spectral channels at lower resolution. Our algorithm is based on the assumption that, to a large extent, the geometry of the spectral channels is...

  • Seeing Things: Inventive Reasoning with Geometric Analogies and Topographic Maps. O'Donoghue, Diarmuid P.; Bohan, Amy; Keane, Mark T. // New Generation Computing;2006, Vol. 24 Issue 3, p267 

    This paper examines two seemingly unrelated qualitative spatial reasoning domains; geometric proportional analogies and topographic (land-cover) maps. We present a Structure Matching algorithm that combines Gentner's structure mapping theory with an attribute matching process. We use structure...

  • A case study of forest management planning using a new heuristic algorithm. Jeong-Ho JS Son; František FV Vilcko; Sofía SS Sánchez Orois; Stephan SK Kunth; Yeong-Mo YS Son; Klaus Kv von Gadow // Tree Physiology;Jul2005, Vol. 25 Issue 7, p929 

    We present an approach to generate and evaluate different silvicultural development paths and to optimize the development of a Norway spruce stand, using a long-term planning horizon. To generate a silvicultural path, the maximum stand density was applied. At each thinning event, three possible...

  • Extracting contour lines from topographic maps based on cartography and graphics knowledge. Rui-Qing Wu; Xi-Ran Cheng; Cun-Jian Yang // Journal of Computer Science & Technology (JCS&T);2009, Vol. 9 Issue 2, p58 

    This paper addresses the problem of contour line extraction from scanned topographic maps in poor condition. A novel method is developed, using knowledge of cartography and graphics to extract contours by removing other layers which overlay the contours, and reconstructing the contour lines. The...

  • Multipass Active Contours for an Adaptive Contour Map. Jeong Heon Kim; Bo-Young Park; Farhan Akram; Byung-Woo Hong; Kwang Nam Choi // Sensors (14248220);Mar2013, Vol. 13 Issue 3, p3724 

    Isocontour mapping is efficient for extracting meaningful information from a biomedical image in a topographic analysis. Isocontour extraction from real world medical images is difficult due to noise and other factors. As such, adaptive selection of contour generation parameters is needed. This...

  • Research on Automatic Detection and Correction on Spatial Conflict between Water Feature and Terrain. Quanyuan Tan; Qiang Wang; Wei Xu // International Journal of Advancements in Computing Technology;Mar2013, Vol. 5 Issue 6, p1058 

    The paper introduces an automatic spatial conflict detection and correction method base on the relationship between mongline river and thalweg in digital topographic maps. The method detects and locates the troughs by shape index at mongline river restriction, corrects part of contour and...

  • Topological Map Building Based on Thinning. Na Wang; Haiyan Wang; Qingqing Zhu // Applied Mechanics & Materials;2014, Issue 668-669, p384 

    In order to accomplish navigation and path planning, map building is the key technology and fundamental problem in mobile robotic control in unknown environment. In this paper the topological map is built based on the grid map by using a thinning algorithm. The environment is modeled in grid...

  • Topographic Maps with Infrared Colors. Vujić, Jana Žiljak; Matas, Maja; Pogarčić, Matej; Stanimirović, Ivana Žiljak // Annals of DAAAM & Proceedings;2014, Vol. 25 Issue 1, p928 

    We are introducing infrared security print as an extension for topographic map print. The article carries out the algorithm of merging several layers of spot colors. We expand the spectral analysis of dyes to the near infrared spectrum. Today's technology of topographic map multiplication uses...

  • MODERN METHODS OF OPTIMIZATION UNDERGROUND TOPOGRAPHIC NETWORKS. Herbei, Mihai Valentin; Herbei, Roxana Claudia // Proceedings of the International Multidisciplinary Scientific Ge;2016, Vol. 2, p449 

    The optimization process of underground networks requires the analysis performed on network configuration and the program for each type of measurement. Optimization methods of the topographic networks take into account independently certain criteria that relate to: initial data optimization;...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics