{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T05:01:07Z","timestamp":1725512467098},"publisher-location":"Berlin, Heidelberg","reference-count":53,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540684411"},{"type":"electronic","value":"9783540684435"}],"license":[{"start":{"date-parts":[[2008,1,1]],"date-time":"2008-01-01T00:00:00Z","timestamp":1199145600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2008]]},"DOI":"10.1007\/978-3-540-68443-5_7","type":"book-chapter","created":{"date-parts":[[2008,5,15]],"date-time":"2008-05-15T07:13:31Z","timestamp":1210835611000},"page":"167-192","source":"Crossref","is-referenced-by-count":2,"title":["Constructive Hypervolume Modeling Using Extended Space Mappings"],"prefix":"10.1007","author":[{"given":"Benjamin","family":"Schmitt","sequence":"first","affiliation":[]},{"given":"Alexander","family":"Pasko","sequence":"additional","affiliation":[]},{"given":"Christophe","family":"Schlick","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"7_CR1","first-page":"197","volume-title":"IEEE Visualization 1996","author":"R. Avila","year":"1996","unstructured":"Avila, R., Sobierajski, L.: A haptic interaction method for volume visualization. In: Yagel, R., Nielson, G. (eds.) IEEE Visualization 1996, pp. 197\u2013204. IEEE Computer Society Press, Los Alamitos (1996)"},{"issue":"3","key":"7_CR2","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1145\/964965.808573","volume":"18","author":"A.H. Barr","year":"1984","unstructured":"Barr, A.H.: Global and local deformations of solid primitives. Proceedings of SIGGRAPH 1984, Computer Graphics\u00a018(3), 21\u201330 (1984)","journal-title":"Proceedings of SIGGRAPH 1984, Computer Graphics"},{"issue":"4","key":"7_CR3","doi-asserted-by":"publisher","first-page":"571","DOI":"10.1016\/0097-8493(94)90071-X","volume":"18","author":"D. Bechmann","year":"1994","unstructured":"Bechmann, D.: Space deformation models survey. Computer and Graphics\u00a018(4), 571\u2013586 (1994)","journal-title":"Computer and Graphics"},{"key":"7_CR4","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1145\/133994.134003","volume-title":"SIGGRAPH 1992 Proceedings","author":"T. Beier","year":"1992","unstructured":"Beier, T., Neely, S.: Feature-based image metamorphosis. In: SIGGRAPH 1992 Proceedings, pp. 35\u201342. ACM Press, New York (1992)"},{"key":"7_CR5","first-page":"272","volume-title":"Graphics Interface 1995","author":"J.R. Bill","year":"1995","unstructured":"Bill, J.R., Lodha, S.: Sculpting polygonal models using virtual tools. In: Graphics Interface 1995, pp. 272\u2013278. Morgan Kaufmann Publihsers, San Francisco (1995)"},{"issue":"3","key":"7_CR6","doi-asserted-by":"publisher","first-page":"235","DOI":"10.1145\/357306.357310","volume":"1","author":"J. Blinn","year":"1982","unstructured":"Blinn, J.: A generalization of algebraic surface drawing. ACM Transactions on Graphics\u00a01(3), 235\u2013256 (1982)","journal-title":"ACM Transactions on Graphics"},{"issue":"4","key":"7_CR7","doi-asserted-by":"publisher","first-page":"427","DOI":"10.1142\/S0218195991000281","volume":"1","author":"P. Borrel","year":"1991","unstructured":"Borrel, P., Bechmann, D.: Deformations of n-dimensional objects. Internat. J. Comput. Geom. App.\u00a01(4), 427\u2013453 (1991)","journal-title":"Internat. J. Comput. Geom. App."},{"issue":"2","key":"7_CR8","doi-asserted-by":"publisher","first-page":"137","DOI":"10.1145\/176579.176581","volume":"13","author":"P. Borrel","year":"1994","unstructured":"Borrel, P., Rappoport, A.: Simple constrained deformations for geometric modeling and interactive design. ACM Transactions on Graphics\u00a013(2), 137\u2013155 (1994)","journal-title":"ACM Transactions on Graphics"},{"key":"7_CR9","doi-asserted-by":"crossref","unstructured":"Chang, Y.K., Rockwood, A.P.: A generalised de casteljau approach to 3d free-form deformation. In: SIGGRAPH 1994 proceedings, pp. 257\u2013260 (1994)","DOI":"10.1145\/192161.192220"},{"issue":"4","key":"7_CR10","doi-asserted-by":"publisher","first-page":"281","DOI":"10.1111\/1467-8659.00464","volume":"19","author":"M. Chen","year":"2000","unstructured":"Chen, M., Tucker, J.: Constructive Volume Geometry. Computer Graphics Forum\u00a019(4), 281\u2013293 (2000)","journal-title":"Computer Graphics Forum"},{"key":"7_CR11","unstructured":"Coquillart, S.: A sculpting tool for 3d geometric modelling. In: Computer Graphics (SIGGRAPH 1988 Proceedings), vol.\u00a024, pp. 205\u2013212 (1988)"},{"issue":"4","key":"7_CR12","doi-asserted-by":"publisher","first-page":"187","DOI":"10.1145\/97880.97900","volume":"24","author":"S. Coquillart","year":"1990","unstructured":"Coquillart, S.: Extended free-form deformation: A sculpting tool for 3d geometric modelling. Computer Graphics (SIGGRAPH 1990 Proceedings)\u00a024(4), 187\u2013193 (1990)","journal-title":"Computer Graphics, (SIGGRAPH 1990 Proceedings)"},{"key":"7_CR13","unstructured":"Crespin, B.: Mod\u00e9lisation et d\u00e9formation de forme libre \u00e0 base de surfaces splines \u00e9quipotentielles. PhD thesis, Bordeaux University I (1998)"},{"key":"7_CR14","volume-title":"Curves and Surfaces for Computer Aided Geometric Design: A Practical Guide","author":"G. Farin","year":"1990","unstructured":"Farin, G.: Curves and Surfaces for Computer Aided Geometric Design: A Practical Guide, 2nd edn. Academic Press, London (1990)","edition":"2"},{"key":"7_CR15","unstructured":"Ferley, E.: Sculpture virtuelle. PhD Thesis, iMAGIS-GRAVIR laboratory, Grenoble, France (2002)"},{"issue":"8","key":"7_CR16","doi-asserted-by":"publisher","first-page":"469","DOI":"10.1007\/PL00007216","volume":"16","author":"E. Ferley","year":"2000","unstructured":"Ferley, E., Cani, M.-P., Gascuel, J.-D.: Practical volumetric sculpting. Visual Computer\u00a016(8), 469\u2013480 (2000)","journal-title":"Visual Computer"},{"key":"7_CR17","volume-title":"Computer Graphics: Principles and Practices","author":"J.D. Foly","year":"1995","unstructured":"Foly, J.D., Van Dam, A., Feiner, S.K., Hugues, J.F.: Computer Graphics: Principles and Practices, 2nd edn. Addison Wesly, London (1995)","edition":"2"},{"issue":"4","key":"7_CR18","doi-asserted-by":"publisher","first-page":"205","DOI":"10.1145\/378456.378512","volume":"22","author":"R.D. Forsey","year":"1988","unstructured":"Forsey, R.D., Bartels, R.H.: Hierarchical bspline refinement. Computer Graphics\u00a022(4), 205\u2013211 (1988)","journal-title":"Computer Graphics"},{"issue":"4","key":"7_CR19","doi-asserted-by":"publisher","first-page":"257","DOI":"10.1111\/1467-8659.00462","volume":"19","author":"E. Galin","year":"2000","unstructured":"Galin, E., Leclercq, A., Akkouche, S.: Morphing the blobtree. Computer Graphic Forum\u00a019(4), 257\u2013270 (2000)","journal-title":"Computer Graphic Forum"},{"issue":"4","key":"7_CR20","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1145\/127719.122747","volume":"25","author":"T. Galyean","year":"1991","unstructured":"Galyean, T., Hughes, J.: Sculpting: an interactive volumetric modelling technique. SIGGRAPH 1991, Computer Graphics Proceedings\u00a025(4), 267\u2013274 (1991)","journal-title":"SIGGRAPH 1991, Computer Graphics Proceedings"},{"key":"7_CR21","doi-asserted-by":"crossref","unstructured":"Gonzales-Ochoa, C., Peters, J.: Localized-hierarchy surface spline (less). In: ACM Symposium on Interactive 3D Graphics, April 1999, pp. 7\u201316 (1999) ISBN 1-584-13-0821","DOI":"10.1145\/300523.300524"},{"key":"7_CR22","unstructured":"Jin, X., Li, Y.F., Peng, Q.: General constrained deformations based on generalized metaballs. In: Proceedings of Pacific Graphics 1998, pp. 115\u2013124 (1998)"},{"issue":"9","key":"7_CR23","doi-asserted-by":"publisher","first-page":"541","DOI":"10.1016\/S0010-4485(99)00051-2","volume":"31","author":"V. Kumar","year":"1999","unstructured":"Kumar, V., Burns, D., Dutta, D., Hoffmann, C.: A framework for object modeling. Computer-Aided Design\u00a031(9), 541\u2013546 (1999)","journal-title":"Computer-Aided Design"},{"key":"7_CR24","doi-asserted-by":"crossref","unstructured":"Kumar, V., Dutta, D.: An approach to modeling multi-material objects. In: Fourth Symposium on Solid Modeling and Applications, ACM SIGGRAPH, pp. 336\u2013345 (1997)","DOI":"10.1145\/267734.267812"},{"issue":"8","key":"7_CR25","doi-asserted-by":"publisher","first-page":"607","DOI":"10.1016\/0010-4485(94)90103-1","volume":"26","author":"F. Lazarus","year":"1994","unstructured":"Lazarus, F., Coquillart, S., Janc\u00e8ne, P.: Axial deformations: an intuitive deformation technique. Computer Aided Design\u00a026(8), 607\u2013613 (1994)","journal-title":"Computer Aided Design"},{"key":"7_CR26","doi-asserted-by":"crossref","unstructured":"Lerios, A., Garfinkle, C.D., Levoy, M.: Feature-based volume metamorphosis. In: SIGGRAPH 1995, Computer Graphics Proceedings, pp. 449\u2013456 (1995)","DOI":"10.1145\/218380.218502"},{"key":"7_CR27","unstructured":"Li, Q.: Blend implicit shapes using smooth unit step functions. In: WSCG short Communication papers proceedings, pp. 297\u2013304 (2004) ISBN 80-903100-6-0"},{"issue":"4","key":"7_CR28","doi-asserted-by":"publisher","first-page":"163","DOI":"10.1145\/37402.37422","volume":"21","author":"W.E. Lorensen","year":"1987","unstructured":"Lorensen, W.E., Cline, H.E.: Marching cubes: A high resolution 3d surface construction algorithm. Computer Graphics, Siggraph\u00a021(4), 163\u2013196 (1987)","journal-title":"Computer Graphics, Siggraph"},{"key":"7_CR29","doi-asserted-by":"crossref","unstructured":"MacCracken, R., Joy, K.I.: Free-form deformation with lattices of arbitrary topology. In: SIGGRAPH 1996 Proceedings, pp. 181\u2013188 (1996)","DOI":"10.1145\/237170.237247"},{"key":"7_CR30","doi-asserted-by":"publisher","first-page":"234","DOI":"10.1145\/376957.376984","volume-title":"Sixth ACM Symposium on Solid Modeling and Applications","author":"W. Martin","year":"2001","unstructured":"Martin, W., Cohen, E.: Representation and extraction of volumetric attributes using trivariate splines: a mathematical framework. In: Anderson, D., Lee, K. (eds.) Sixth ACM Symposium on Solid Modeling and Applications, pp. 234\u2013240. ACM Press, New York (2001)"},{"key":"7_CR31","unstructured":"Mikita, M.: 3d free-form deformation: Basic and extended algorithms. In: Purgathofer, W. (ed.) 12th Spring Conference on Computer Graphics, Comenius University, Bratisalava, pp. 183\u2013191 (1996)"},{"key":"7_CR32","first-page":"217","volume-title":"Proceedings CSG 1996","author":"K. Miura","year":"1996","unstructured":"Miura, K., Pasko, A., Savchenko, V.: Parametric patches and volumes in the functional representation of geometric solids, Set-theoretic Solid Modeling: Techniques and Applications. In: Proceedings CSG 1996, Winchester, UK, April 17-19, 1996, pp. 217\u2013231. Information Geometers, UK (1996)"},{"issue":"8","key":"7_CR33","doi-asserted-by":"publisher","first-page":"138","DOI":"10.1145\/965141.563884","volume":"11","author":"R. Parent","year":"1977","unstructured":"Parent, R.: A system for sculpting 3d data. Computer Graphics\u00a011(8), 138\u2013147 (1977)","journal-title":"Computer Graphics"},{"key":"7_CR34","doi-asserted-by":"publisher","first-page":"216","DOI":"10.1145\/376957.376982","volume-title":"Sixth ACM Symposium on Solid Modeling and Applications","author":"S.M. Park","year":"2001","unstructured":"Park, S.M., Crawford, R., Beaman, J.: Volumetric multi-texturing for functionally gradient material representation. In: Anderson, D., Lee, K. (eds.) Sixth ACM Symposium on Solid Modeling and Applications, pp. 216\u2013224. ACM Press, New York (2001)"},{"key":"7_CR35","unstructured":"Pasko, A., Adzhiev, V., Schmitt, B.: Constructive hypervolume modelling. Technical Report TR-NCCA-2001-01, National Centre for Computer Animation, Bournemouth University, UK, p. 34 (2001), ISBN 1-85899-123-4, URL: \n                  \n                    http:\/\/wwwcis.k.hosei.ac.jp\/~F-rep\/BTR001.pdf"},{"key":"7_CR36","doi-asserted-by":"publisher","first-page":"413","DOI":"10.1006\/gmod.2001.0560","volume":"63","author":"A. Pasko","year":"2002","unstructured":"Pasko, A., Adzhiev, V., Schmitt, B., Schlick, C.: Constructive hypervolume modelling. Graphical Models\u00a063, 413\u2013442 (2002) (Special issue on volume modeling)","journal-title":"Graphical Models"},{"issue":"8","key":"7_CR37","doi-asserted-by":"publisher","first-page":"429","DOI":"10.1007\/BF02464333","volume":"11","author":"A. Pasko","year":"1995","unstructured":"Pasko, A., Adzhiev, V., Sourin, A., Savchenko, V.: Function representation in geometric modelling: concept, implementation and applications. The Visual Computer\u00a011(8), 429\u2013446 (1995)","journal-title":"The Visual Computer"},{"issue":"3\/4","key":"7_CR38","doi-asserted-by":"publisher","first-page":"457","DOI":"10.1016\/0097-8493(88)90070-2","volume":"12","author":"A. Pasko","year":"1988","unstructured":"Pasko, A., Pilyugin, V.V., Pokrovskiy, V.V.: Geometric modelling in the analysis of trivariate functions. Computers and Graphics\u00a012(3\/4), 457\u2013465 (1988)","journal-title":"Computers and Graphics"},{"key":"7_CR39","unstructured":"PovRay. The Persistance of Vision. \n                  \n                    http:\/\/www.povray.org\/"},{"key":"7_CR40","unstructured":"HyperFun Project. Language and Software for FRep Modelling, \n                  \n                    http:\/\/www.hyperfun.org"},{"key":"7_CR41","doi-asserted-by":"crossref","unstructured":"Raviv, A., Elber, G.: Three dimensional freeform sculpting via zero sets of scalar trivariate functions. Technical Report CIS9903 (1999)","DOI":"10.1145\/304012.304037"},{"issue":"1","key":"7_CR42","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1016\/0097-8493(94)00122-F","volume":"19","author":"D. Ruprecht","year":"1995","unstructured":"Ruprecht, D., Mueller, H.: Spatial free form deformation with scattered data: interpolation methods. Computers and Graphics\u00a019(1), 63\u201371 (1995)","journal-title":"Computers and Graphics"},{"issue":"5\/6","key":"7_CR43","doi-asserted-by":"publisher","first-page":"257","DOI":"10.1007\/s003710050139","volume":"14","author":"V. Savchenko","year":"1998","unstructured":"Savchenko, V., Pasko, A.: Transformation of functionnaly defined shapes by exented space mapping. The Visual Computer\u00a014(5\/6), 257\u2013270 (1998)","journal-title":"The Visual Computer"},{"key":"7_CR44","first-page":"341","volume-title":"Multimedia Modeling. Towards Information Superhighway","author":"V. Savchenko","year":"1995","unstructured":"Savchenko, V., Pasko, A., Kunii, T., Savchenko, A.: Feature based sculpting of functionally defined 3d geometric objects. In: Chua, T.S., Pung, H.K., Kunii, T.L. (eds.) Multimedia Modeling. Towards Information Superhighway, pp. 341\u2013348. World Scientific, Singapore (1995)"},{"key":"7_CR45","unstructured":"Schmitt, B., Kazakov, M., Pasko, A., Savchenko, V.: Volume sculpting with 4D spline volumes. In: CISST 2000, September 2000, vol.\u00a02, pp. 475\u2013483 (2000)"},{"key":"7_CR46","unstructured":"Schmitt, B., Pasko, A., Savchenko, V.: Extended space mapping with B\u00e9zier patches and volumes. In: Hughes, J., Schlick, C. (eds.) Implicit Surfaces 1999, Eurographics\/ACM SIGGRAPH Workshop, September 1999, pp. 25\u201331 (1999)"},{"key":"7_CR47","first-page":"321","volume-title":"Sixth ACM Symposium on Solid Modeling and Applications","author":"B. Schmitt","year":"2001","unstructured":"Schmitt, B., Pasko, A., Schlick, C.: Constructive modelling of FRep solids using spline volumes. In: Anderson, D., Lee, K. (eds.) Sixth ACM Symposium on Solid Modeling and Applications, pp. 321\u2013322. ACM Press, New York (2001)"},{"key":"7_CR48","first-page":"127","volume":"12","author":"B. Schmitt","year":"2003","unstructured":"Schmitt, B., Pasko, A., Schlick, C.: Shape driven deformations of functionally defined heterogeneous volumetric objects. Graphite2003, Publication of ACM SIGGRAPH\u00a012, 127\u2013134 (2003)","journal-title":"Graphite2003, Publication of ACM SIGGRAPH"},{"issue":"4","key":"7_CR49","doi-asserted-by":"publisher","first-page":"151","DOI":"10.1145\/15886.15903","volume":"20","author":"T.W. Sederberg","year":"1986","unstructured":"Sederberg, T.W., Parry, S.R.: Free-form deformations of solid geometric models. Computer Graphics (SIGGRAPH 1986 proceedings)\u00a020(4), 151\u2013160 (1986)","journal-title":"Computer Graphics (SIGGRAPH 1986 proceedings)"},{"key":"7_CR50","doi-asserted-by":"crossref","unstructured":"Singh, K., Fiume, E.: Wires: A geometric deformation technique. SIGGRAPH 1998, 405\u2013414 (1998)","DOI":"10.1145\/280814.280946"},{"key":"7_CR51","doi-asserted-by":"publisher","first-page":"151","DOI":"10.1145\/199404.199430","volume-title":"Symposium on Interactive 3D Graphics","author":"S. Wang","year":"1995","unstructured":"Wang, S., Kaufman, A.: Volume sculpting. In: Symposium on Interactive 3D Graphics, pp. 151\u2013156. ACM Press, New York (1995)"},{"key":"7_CR52","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1007\/978-1-4612-4472-1_8","volume-title":"computer graphics techniques: theory and practice","author":"B. Wyvill","year":"1990","unstructured":"Wyvill, B.: A computer animation tutorial. In: Rogers, D.F., Earnshaw, R.A. (eds.) computer graphics techniques: theory and practice, pp. 235\u2013282. Springer, New York (1990)"},{"issue":"2","key":"7_CR53","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1111\/1467-8659.00365","volume":"18","author":"B. Wyvill","year":"1999","unstructured":"Wyvill, B., Galin, E., Guy, A.: The BlobTree. warping, blending and Boolean operations in an implicit surface modelling system. Computer Graphics Forum\u00a018(2), 149\u2013158 (1999)","journal-title":"Computer Graphics Forum"}],"container-title":["Lecture Notes in Computer Science","Heterogeneous Objects Modelling and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-68443-5_7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,19]],"date-time":"2019-05-19T11:32:02Z","timestamp":1558265522000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-68443-5_7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008]]},"ISBN":["9783540684411","9783540684435"],"references-count":53,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-68443-5_7","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2008]]}}}