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Constructive texturing based on hypervolume modeling
The Journal of Visualization and Computer Animation, 2001AbstractThe concept of solid texturing is extended in two directions: constructive modeling of space partitions for texturing and modeling of multidimensional textured objects called hypervolumes. A hypervolume is considered as a point set with attributes of both physical (density, temperature, etc.) and photometric (color, transparency, diffuse and ...
Schmitt, B. +3 more
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12th AIAA Aviation Technology, Integration, and Operations (ATIO) Conference and 14th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, 2012
This paper presents two methods for generating data sets with known dominated hypervolumes. The first method, based on creating a block pyramid of dimension 2 or greater generates highly structured data with limited flexibility in number of Pareto points and results in a Pareto front with all points residing on a hyperplane. The second method generates
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This paper presents two methods for generating data sets with known dominated hypervolumes. The first method, based on creating a block pyramid of dimension 2 or greater generates highly structured data with limited flexibility in number of Pareto points and results in a Pareto front with all points residing on a hyperplane. The second method generates
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Fuzzy Clustering by Minimizing the Total Hypervolume
1993The total hypervolume of a clustering, measured by the sum of the square root of the determinants of the fuzzy covariance matrices, is proposed as objective function. It is shown that this criterion, unlike most other well-known methods, is independent of differences in shape, size and cardinality between the different clusters.
Trauwaert, E. +2 more
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On-line Quick Hypervolume Algorithm
Proceedings of the Companion Conference on Genetic and Evolutionary Computation, 2023Andrzej Jaszkiewicz, Piotr Zielniewicz
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Convergence of Hypervolume-based Archiving Algorithms
IEEE Transactions on Evolutionary Computation, 2014Bringmann, K. ; https://orcid.org/0000-0003-1356-5177 +1 more
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