Kinetic Voronoi/Delaunay Drawing Tools

Gold, Christopher M.; Dakowicz, Maciej

doi:10.1109/isvd.2006.24

Cited by 10 publications

(3 citation statements)

References 21 publications

(23 reference statements)

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“…The examples from the area of computer graphics and terrain modeling showcase the concept perfectly. Over the past twenty years, a grid, mesh, TIN, k-d trees, and Voronoi based methods for model representation were developed (Bonnefoi and Plemenos 2000, Gold and Dakowicz 2006, Cohen-Or and Levanoni 1996, Duchaineauy et. al.…”

Section: Adaptive Methods In Terrain Modelingmentioning

confidence: 99%

“…Utilization of these developments in molecular modeling, bioinformatics and robotics promotes further stimulus to research on adaptive and dynamic problems. Thus, article (Gold and Dakowicz 2006) studies dynamic ship navigation visualization system using kinetic Voronoi diagram as an underlying concept. Utilization of the dynamic Voronoi diagram for 3D robot planning and navigation is studies in (Kolingerova 2005).…”

Section: Adaptive Methodology In Traditional Applications Adaptive Ge...mentioning

confidence: 99%

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Adaptive Computation Paradigm in Knowledge Representation

Gavrilova

2009

International Journal of Software Science and Computational Intelligence

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The constant demand for complex applications, the ever increasing complexity and size of software systems, and the inherently complicated nature of the information drive the needs for developing radically new approaches for information representation. This drive is leading to creation of new and exciting interdisciplinary fields that investigate convergence of software science and intelligence science, as well as computational sciences and their applications. This survey article discusses the new paradigm of the algorithmic models of intelligence, based on the adaptive hierarchical model of computation, and presents the algorithms and applications utilizing this paradigm in data-intensive, collaborative environment. Examples from the various areas include references to adaptive paradigm in biometric technologies, evolutionary computing, swarm intelligence, robotics, networks, e-learning, knowledge representation and information system design. Special topics related to adaptive models design and geometric computing are also included in the survey.

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Section: Adaptive Methods In Terrain Modelingmentioning

confidence: 99%

Section: Adaptive Methodology In Traditional Applications Adaptive Ge...mentioning

confidence: 99%

Adaptive Computation Paradigm in Knowledge Representation

Gavrilova

2009

International Journal of Software Science and Computational Intelligence

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“…In most cases the end points are inserted first and then the line segment interiors. Dakowicz and Gold (2006) and Gold and Dakowicz (2006) described the full LSVD incremental algorithm, along with various cartographic examples. Gold and Condal (1995) -described above -showed some early LSVD results.…”

Section: The Iterative Incircle Testmentioning

confidence: 99%

Boundaries

2016

International Society for Photogrammetry and Remote Sensing (ISPRS) Book Series

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Labelled skeletons may be used to separate points that have additional information available, but more often this is not the case. In particular, for strings of points, where the distance between consecutive points is clearly less than the distance separating strings, it is often desirable to 'connect the dots' (to form the 'crust') -and also to define skeletons, as before, composed of portions of Voronoi cell boundaries, that separate the strings. To achieve this we need to go back to before the availability of digital computers, when (Blum 1967) was attempting to describe 'biological shapes' -the following five sketches were derived from his work.These were based on the idea of 'wave fronts' spreading out from the generators -which could be points or continuous lines ( Figure 126, Figure 127). Where the wave fronts meet we have Voronoi boundaries.

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Spatial Modeling: V oronoi Diagrams

Gold

2017

International Encyclopedia of Geography

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Voronoi diagrams, and their duals, Delaunay triangulations, are spatial models that adapt to the distribution of the data. They have been rediscovered many times, are used in many disciplines, dimensions, and metrics, and are widely studied in computational geometry. This entry outlines the concepts, properties, and some basic construction algorithms for various types, together with a wide selection of applications in the geosciences.

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Kinetic Voronoi/Delaunay Drawing Tools

Abstract: Abstract

Cited by 10 publications

References 21 publications

Adaptive Computation Paradigm in Knowledge Representation

Adaptive Computation Paradigm in Knowledge Representation

Boundaries

Spatial Modeling: V oronoi Diagrams

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