{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,15]],"date-time":"2023-10-15T23:10:20Z","timestamp":1697411420391},"reference-count":37,"publisher":"ASME International","issue":"4","content-domain":{"domain":["asmedigitalcollection.asme.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2002,12,1]]},"abstract":"<jats:p>An approach to modeling heterogeneous objects as multidimensional point sets with multiple attributes (hypervolumes) is presented. Attributes given at each point represent object properties of arbitrary nature (material, physical, etc.). A proposed theoretical framework is based on a hybrid model of geometry and attributes combining a cellular representation and a functionally based constructive representation of dimensionally non-homogeneous entities. Hypervolume model components such as objects, operations and relations are introduced and outlined. We present examples of modeling a multi-layer geological structure with cavities and wells, time-dependent adaptive mesh generation, and conversion of a 3D implicit complex to the cellular representation.<\/jats:p>","DOI":"10.1115\/1.1559580","type":"journal-article","created":{"date-parts":[[2003,3,27]],"date-time":"2003-03-27T23:09:12Z","timestamp":1048806552000},"page":"312-322","update-policy":"http:\/\/dx.doi.org\/10.1115\/crossmarkpolicy-asme","source":"Crossref","is-referenced-by-count":22,"title":["Hybrid Cellular-functional Modeling of Heterogeneous Objects"],"prefix":"10.1115","volume":"2","author":[{"given":"Valery","family":"Adzhiev","sequence":"first","affiliation":[{"name":"The National Centre for Computer Animation, Bournemouth University, Poole, BH12\u20095BB\u2009UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Elena","family":"Kartasheva","sequence":"additional","affiliation":[{"name":"Institute for Mathematical Modeling, Russian Academy of Science, Moscow, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tosiyasu","family":"Kunii","sequence":"additional","affiliation":[{"name":"IT Institute, Kanazawa Institute of Technology and Hosei University, Tokyo, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alexander","family":"Pasko","sequence":"additional","affiliation":[{"name":"Hosei University and IT Institute, Kanazawa Institute of Technology, Tokyo, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Benjamin","family":"Schmitt","sequence":"additional","affiliation":[{"name":"LaBRI, Bordeaux University I, Talence, France"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"33","published-online":{"date-parts":[[2003,3,26]]},"reference":[{"key":"2019100520462312400_r1","doi-asserted-by":"crossref","unstructured":"Pasko, A., Adzhiev, V., Schmitt, B., and Schlick, C., 2001, \u201cConstructive Hypervolume Modelling,\u201d Graphical Models, special issue on Volume Modeling, 63(6), pp. 413\u2013442.","DOI":"10.1006\/gmod.2001.0560"},{"key":"2019100520462312400_r2","unstructured":"Pasko, A., Adzhiev, V., and Schmitt, B., 2001, \u201cConstructive Hypervolume Modelling,\u201d Technical Report TR-NCCA-2001-01, National Centre for Computer Animation, Bournemouth University, UK, ISBN 1-85899-123-4, p. 34 URL:http:\/\/www.cis.k.hosei.ac.jp\/\u223cF-rep\/BTR001.pdf"},{"key":"2019100520462312400_r3","doi-asserted-by":"crossref","unstructured":"Kumar, V., and Dutta, D., 1997, \u201cAn Approach to Modeling Multi-material Objects,\u201d Fourth Symposium on Solid Modeling and Applications, ACM SIGGRAPH, pp. 336\u2013345.","DOI":"10.1145\/267734.267812"},{"key":"2019100520462312400_r4","doi-asserted-by":"crossref","unstructured":"Kumar, V., Burns, D., Dutta, D., and Hoffmann, C., 1999, \u201cA Framework for Object Modeling,\u201d Comput.-Aided Des., 31(9), pp. 541\u2013556.","DOI":"10.1016\/S0010-4485(99)00051-2"},{"key":"2019100520462312400_r5","doi-asserted-by":"crossref","unstructured":"Shin, K., and Dutta, D., 2001, \u201cConstructive Representation of Heterogeneous Objects,\u201d J. 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