{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,21]],"date-time":"2026-03-21T18:57:55Z","timestamp":1774119475303,"version":"3.50.1"},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"9-11","license":[{"start":{"date-parts":[[2006,8,17]],"date-time":"2006-08-17T00:00:00Z","timestamp":1155772800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Visual Comput"],"published-print":{"date-parts":[[2006,9]]},"DOI":"10.1007\/s00371-006-0052-0","type":"journal-article","created":{"date-parts":[[2006,8,16]],"date-time":"2006-08-16T10:44:41Z","timestamp":1155725081000},"page":"612-621","source":"Crossref","is-referenced-by-count":41,"title":["Variational sphere set approximation for solid objects"],"prefix":"10.1007","volume":"22","author":[{"given":"Rui","family":"Wang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kun","family":"Zhou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"John","family":"Snyder","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xinguo","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hujun","family":"Bao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qunsheng","family":"Peng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Baining","family":"Guo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2006,8,17]]},"reference":[{"key":"52_CR1","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1145\/376957.376986","volume-title":"SMA \u201901: Proceedings of the 6th ACM Symposium on Solid Modeling and Applications","author":"N. Amenta","year":"2001","unstructured":"Amenta, N., Choi, S., Kolluri, R.K.: The power crust. In: SMA \u201901: Proceedings of the 6th ACM Symposium on Solid Modeling and Applications, pp. 249\u2013266. ACM Press, New York (2001)"},{"issue":"4","key":"52_CR2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1080\/10867651.1997.10487480","volume":"2","author":"den Bergen G. van","year":"1997","unstructured":"van den Bergen, G.: Efficient collision detection of complex deformable models using AABB trees. J. Graph. Tools 2(4), 1\u201313 (1997)","journal-title":"J. Graph. Tools"},{"issue":"1","key":"52_CR3","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1145\/966131.966132","volume":"23","author":"G. Bradshaw","year":"2004","unstructured":"Bradshaw, G., O\u2019Sullivan, C.: Adaptive medial-axis approximation for sphere-tree construction. ACM Trans. Graph. 23(1), 1\u201326 (2004)","journal-title":"ACM Trans. Graph."},{"issue":"3","key":"52_CR4","doi-asserted-by":"crossref","first-page":"905","DOI":"10.1145\/1015706.1015817","volume":"23","author":"D. Cohen-Steiner","year":"2004","unstructured":"Cohen-Steiner, D., Alliez, P., Desbrun, M.: Variational shape approximation. ACM Trans. Graph. 23(3), 905\u2013914 (2004)","journal-title":"ACM Trans. Graph."},{"key":"52_CR5","doi-asserted-by":"crossref","unstructured":"Gottschalk, S., Lin, M.C., Manocha, D.: OBBTree: A hierarchical structure for rapid interference detection. In: Proc. of ACM SIGGRAPH 1996, pp. 171\u2013180 (1996)","DOI":"10.1145\/237170.237244"},{"key":"52_CR6","doi-asserted-by":"crossref","unstructured":"Hubbard, P.: Interactive collision detection. In: Proceedings of the 1993 IEEE Symposium on Research Frontiers in Virtual Reality, 14(2), 24\u201331 (1993)","DOI":"10.1109\/VRAIS.1993.378267"},{"key":"52_CR7","doi-asserted-by":"crossref","unstructured":"Hubbard, P.: Collision detection for interactive graphics applications. PhD thesis, Brown University (1995)","DOI":"10.1109\/2945.466717"},{"issue":"3","key":"52_CR8","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1145\/231731.231732","volume":"15","author":"P. Hubbard","year":"1996","unstructured":"Hubbard, P.: Approximating polyhedra with spheres for time-critical collision detection. ACM Trans. Graph. 15(3), 179\u2013210 (1996)","journal-title":"ACM Trans. Graph."},{"issue":"3","key":"52_CR9","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1145\/1015706.1015735","volume":"23","author":"D.L. James","year":"2004","unstructured":"James, D.L., Pai, D.K.: BD-tree: output-sensitive collision detection for reduced deformable models. ACM Trans. Graph. 23(3), 393\u2013398 (2004)","journal-title":"ACM Trans. Graph."},{"issue":"1","key":"52_CR10","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1109\/2945.675649","volume":"4","author":"J.T. Klosowski","year":"1998","unstructured":"Klosowski, J.T., Held, M., Mitchell, J., Sowizral, H., Zikan, K.: Efficient collision detection using bounding volume hierarchies of k-DOPs. IEEE Trans. Visual. Comput. Graph. 4(1), 21\u201336 (1998)","journal-title":"IEEE Trans. Visual. Comput. Graph."},{"key":"52_CR11","unstructured":"Krishnan, S., Pattekar, A., Lin, M., Manocha, D.: Spherical shells: A higher-order bounding volume for fast proximity queries. In Proceedings of the 1998 Workshop on the Algorithmic Foundations of Robotics, pp. 122\u2013136. Rice University (1998)"},{"key":"52_CR12","unstructured":"Liu, Y., Noborio, J., Arimoto, S.: Hierarchical sphere model HSM and its application for checking an interference between moving robots. In Proceedings of the IEEE International Workshop on Intelligent Robots and Systems, pp. 801\u2013806 (1988)"},{"issue":"2","key":"52_CR13","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1109\/TIT.1982.1056489","volume":"IT-28","author":"S. Lloyd","year":"1982","unstructured":"Lloyd, S.: Least squares quantization in PCM. IEEE Trans. Inform. Theory IT-28(2), 129\u2013137 (1982)","journal-title":"IEEE Trans. Inform. Theory"},{"key":"52_CR14","volume-title":"Numerical Recipes in C: The Art of Scientific Computing","author":"W. Press","year":"1992","unstructured":"Press, W., Teukolsky, S., Vetterling, W., Flannery, B.: Numerical Recipes in C: The Art of Scientific Computing. Cambridge University Press, New York (1992)"},{"key":"52_CR15","unstructured":"Quinlan, S.: Efficient distance computation between non-convex objects. In Proceedings IEEE International Conference on Robotics and Automation, pp. 3324\u20133329 (1994)"},{"key":"52_CR16","doi-asserted-by":"crossref","first-page":"402","DOI":"10.1145\/220279.220322","volume-title":"SCG \u201995: Proceedings of the 11th Annual Symposium on Computational Geometry","author":"V. Ranjan","year":"1995","unstructured":"Ranjan, V., Fournier, A.: Union of spheres (UoS) model for volumetric data. In: SCG \u201995: Proceedings of the 11th Annual Symposium on Computational Geometry, pp. 402\u2013403. ACM Press, New York (1995)"},{"issue":"3","key":"52_CR17","doi-asserted-by":"crossref","first-page":"977","DOI":"10.1145\/1141911.1141982","volume":"25","author":"Z. Ren","year":"2006","unstructured":"Ren, Z., Wang, R., Snyder, J., Zhou, K., Liu, X., Sun, B., Sloan, P., Bao, H., Peng, Q., Guo, B.: Real-time soft shadows in dynamic scenes using spherical harmonic exponentiation. ACM Trans. Graph. 25(3), 977\u2013986 (2006)","journal-title":"ACM Trans. Graph."},{"key":"52_CR18","doi-asserted-by":"crossref","unstructured":"Rusinkiewicz, S., Levoy, M.: QSplat: A multiresolution point rendering system for large meshes. In: Proc. ACM SIGGRAPH 2000, pp. 343\u2013352 (2000)","DOI":"10.1145\/344779.344940"},{"key":"52_CR19","doi-asserted-by":"crossref","unstructured":"Ruspini, D.C., Kolarov, K., Khatib, O.: The haptic display of complex graphical environments. In: Proc. of ACM SIGGRAPH 1997, pp. 345\u2013352 (1997)","DOI":"10.1145\/258734.258878"},{"issue":"3","key":"52_CR20","doi-asserted-by":"crossref","first-page":"527","DOI":"10.1145\/566654.566612","volume":"21","author":"P. Sloan","year":"2002","unstructured":"Sloan, P., Kautz, J., Snyder, J.: Precomputed radiance transfer for real-time rendering in dynamic, low-frequency lighting environments. ACM Trans. Graph. 21(3), 527\u2013536 (2002)","journal-title":"ACM Trans. Graph."},{"key":"52_CR21","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1007\/s003710050151","volume":"14","author":"R.C. Tam","year":"1998","unstructured":"Tam, R.C., Fournier, A.: Image interpolation using unions of spheres. Visual Comput. 14, 401\u2013414 (1998)","journal-title":"Visual Comput."},{"issue":"3","key":"52_CR22","doi-asserted-by":"crossref","first-page":"561","DOI":"10.1145\/1073204.1073229","volume":"24","author":"J. Tao","year":"2005","unstructured":"Tao, J., Schaefer, S., Warren, J.: Mean value coordinates for closed triangular meshes. ACM Trans. Graph. 24(3), 561\u2013566 (2005)","journal-title":"ACM Trans. Graph."},{"key":"52_CR23","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1016\/B978-0-08-050753-8.50015-2","volume-title":"Graphics Gems","author":"G. Turk","year":"1990","unstructured":"Turk, G.: Generating random points in triangles. In: Graphics Gems, pp. 24\u201328. Academic Press Professional, San Diego, CA (1990)"},{"issue":"3","key":"52_CR24","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1111\/j.1467-8659.2005.00852.x","volume":"24","author":"J. Wu","year":"2005","unstructured":"Wu, J., Kobbelt, L.: Structure recovery via hybrid variational surface approximation. Comput. Graph. Forum 24(3), 277\u2013284 (2005)","journal-title":"Comput. Graph. Forum"}],"container-title":["The Visual Computer"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00371-006-0052-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00371-006-0052-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00371-006-0052-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,28]],"date-time":"2019-05-28T10:58:03Z","timestamp":1559041083000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00371-006-0052-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,8,17]]},"references-count":24,"journal-issue":{"issue":"9-11","published-print":{"date-parts":[[2006,9]]}},"alternative-id":["52"],"URL":"https:\/\/doi.org\/10.1007\/s00371-006-0052-0","relation":{},"ISSN":["0178-2789","1432-2315"],"issn-type":[{"value":"0178-2789","type":"print"},{"value":"1432-2315","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,8,17]]}}}