{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,4,24]],"date-time":"2023-04-24T18:40:28Z","timestamp":1682361628836},"reference-count":17,"publisher":"ASME International","issue":"2","content-domain":{"domain":["asmedigitalcollection.asme.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2002,6,1]]},"abstract":"<jats:p>Direct Surface Manipulation (DSM) allows a designer to add a raised or indented feature to an existing surface. The user bounds the feature with a closed curve, and defines an influence center that indicates the point or curve of maximum displacement from the original surface. As we move radially outward from the influence center to the boundary curve, the magnitude of displacement is scaled gradually by a one-dimensional polynomial basis function whose values range from 0 to 1. In this paper we present a new technique for assigning parameter values in the radial direction, i.e., u, to points within a DSM feature. The new technique poses parameter distribution as a steady state heat conduction problem and uses a finite element method to solve for ux,y. The new method overcomes some stringent geometric conditions inherited from a fundamentally geometric-based reparameterization scheme and allows us to work with non-star-shaped and multiply connected DSM features. Thus it allows us to apply this surface feature technique to a wider variety of surface applications.<\/jats:p>","DOI":"10.1115\/1.1510860","type":"journal-article","created":{"date-parts":[[2002,9,26]],"date-time":"2002-09-26T13:50:00Z","timestamp":1033048200000},"page":"77-85","update-policy":"http:\/\/dx.doi.org\/10.1115\/crossmarkpolicy-asme","source":"Crossref","is-referenced-by-count":0,"title":["Surface Feature Parametrization Analogous to Conductive Heat Flow"],"prefix":"10.1115","volume":"2","author":[{"given":"Anne L.","family":"Marsan","sequence":"first","affiliation":[]},{"given":"Yifan","family":"Chen","sequence":"additional","affiliation":[{"name":"Manufacturing Systems Department, Ford Research Laboratory, 2010 Village Road, P.O. Box 2053, MD 3135, SRL, Dearborn, MI\u200948121-2053"}]},{"given":"Paul J.","family":"Stewart","sequence":"additional","affiliation":[{"name":"Manufacturing Systems Department, Ford Research Laboratory, 2010 Village Road, P.O. Box 2053, MD 3135, SRL, Dearborn, MI\u200948121-2053"}]}],"member":"33","published-online":{"date-parts":[[2002,9,25]]},"reference":[{"key":"2019100611364296000_r1","unstructured":"Stewart, P. J., 1991, Direct Shape Control of Free-Form Curves and Surfaces with Generalized Basis Functions, Ph.D. dissertation, The University of Michigan, Ann Arbor."},{"key":"2019100611364296000_r2","doi-asserted-by":"crossref","unstructured":"Stewart, P. J., and Chen, Y., 1999, \u201cGeometric Features Applied to Composite Surfaces Using Spherical Reparameterization,\u201d Proceedings of the ASME 1999 Design Engineering Technical Conferences, Sept. 12\u201315, Las Vegas, NV.","DOI":"10.1115\/DETC99\/DAC-8620"},{"key":"2019100611364296000_r3","doi-asserted-by":"crossref","unstructured":"Chen, Y., Stewart, P. J., Buttolo, P., and Ren, F., 2000, \u201cA Real-time, Interactive Method for Fast Modification of Large-scale CAE Mesh Models,\u201d Proceedings of the ASME 2000 Design Engineering Technical Conferences, Sept. 10\u201313, Baltimore, MD.","DOI":"10.1115\/DETC2000\/DAC-14268"},{"key":"2019100611364296000_r4","doi-asserted-by":"crossref","unstructured":"Sederberg, T. W., and Parry, S. R., 1986, \u201cFree-form Deformation of Solid Geometric Models,\u201d Proceedings of the ACM SIGGRAPHComputer Graphics, 20(4), pp. 151\u2013160.","DOI":"10.1145\/15886.15903"},{"key":"2019100611364296000_r5","unstructured":"Farin, G., 1993, Curves and Surface for CAGD: A Practical Guide, 3d. ed., Academic Press, Boston."},{"key":"2019100611364296000_r6","doi-asserted-by":"crossref","unstructured":"Bloor, M. I. G., and Wilson, M. J., 1989, \u201cBlend Design as a Boundary-value Problem,\u201d Theory and Practice of Geometric Modeling, W. Staber and H.-P. Seidel, eds., Springer-Verlag, Berlin.","DOI":"10.1007\/978-3-642-61542-9_14"},{"key":"2019100611364296000_r7","doi-asserted-by":"crossref","unstructured":"Celniker, G., and Gossard, D., 1989, \u201cEnergy-based Models for Free-form Surface Shape Design,\u201d Proceedings of the ASME 1989 Design Automation Conference, Sept. 17\u201321, Montreal, QC, Canada.","DOI":"10.1115\/DETC1989-0025"},{"key":"2019100611364296000_r8","doi-asserted-by":"crossref","unstructured":"Celniker, G., and Gossard, D., 1991. \u201cDeformable Curve and Surface Finite-elements for Free-form Shape Design,\u201d Comput. Graphics, 25(4), pp. 257\u2013266.","DOI":"10.1145\/127719.122746"},{"key":"2019100611364296000_r9","doi-asserted-by":"crossref","unstructured":"Terzopoulos, D., and Qin, H., 1994. \u201cDynamic NURBS with Geometric Constraints for Interactive Sculpting,\u201d ACM Trans. Graphics, 13(2), pp. 103\u2013136.","DOI":"10.1145\/176579.176580"},{"key":"2019100611364296000_r10","unstructured":"Du, H., and Qin, H., 2001, \u201cIntegrating Physicals-based Modeling with PDE Solids for Geometric Design,\u201d Proceedings of Ninth Pacific Conference on Computer Graphics and Applications (Pacific Graphics, 2001), Tokyo, Japan, October 16\u201318, pp. 198\u2013207."},{"key":"2019100611364296000_r11","unstructured":"Du, H., and Qin, H., 2000, \u201cDynamic PDE Surfaces with Flexible and General Geometric Constraints,\u201d Proceedings of Eighth Pacific Conference on Computer Graphics and Applications (Pacific Graphics, 2000), Hong Kong, October 3\u20135, pp. 213\u2013222."},{"key":"2019100611364296000_r12","doi-asserted-by":"crossref","unstructured":"Du, H., and Qin, H., 2000, \u201cDirect Manipulation and Interactive Sculpting of PDE Surfaces,\u201d Computer Graphics Forum (Proceedings of Eurographics 2000 Graphics), 19(3), C261-C270, Interlaken, Switzerland, August 21\u201325.","DOI":"10.1111\/1467-8659.00418"},{"key":"2019100611364296000_r13","doi-asserted-by":"crossref","unstructured":"Qin, H., and Terzopoulos, D., 1996. \u201cD-NURBS: A Physics-based Geometric Design Framework,\u201d IEEE Trans. Vis. Comput. Graph., 2(1), pp. 85\u201396.","DOI":"10.1109\/2945.489389"},{"key":"2019100611364296000_r14","unstructured":"Incropera, F. P., and Dewitt, D. P., 1996, Fundamentals of Heat and Mass Transfer, 4th ed., John Wiley & Sons, New York."},{"key":"2019100611364296000_r15","unstructured":"Edwards, C. H. Jr., and Penney, D. E., 1993, Elementary Differential Equations with Boundary Value Problems, 3rd ed., Prentice-Hall, Englewood Cliffs, NJ."},{"key":"2019100611364296000_r16","unstructured":"Huebner, K. H., Thornton, E. A., and Byrom, T. G., 1995, The Finite Element Method for Engineers, 3d. ed., John Wiley & Sons, New York."},{"key":"2019100611364296000_r17","unstructured":"Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T., 1989, Numerical Recipes, the Art of Scientific Computing, Cambridge University Press, Cambridge."}],"container-title":["Journal of Computing and Information Science in Engineering"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/asmedigitalcollection.asme.org\/computingengineering\/article-pdf\/2\/2\/77\/5625754\/77_1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"http:\/\/asmedigitalcollection.asme.org\/computingengineering\/article-pdf\/2\/2\/77\/5625754\/77_1.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,4,24]],"date-time":"2023-04-24T18:17:34Z","timestamp":1682360254000},"score":1,"resource":{"primary":{"URL":"https:\/\/asmedigitalcollection.asme.org\/computingengineering\/article\/2\/2\/77\/439633\/Surface-Feature-Parametrization-Analogous-to"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,6,1]]},"references-count":17,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2002,6,1]]}},"URL":"https:\/\/doi.org\/10.1115\/1.1510860","relation":{},"ISSN":["1530-9827","1944-7078"],"issn-type":[{"value":"1530-9827","type":"print"},{"value":"1944-7078","type":"electronic"}],"subject":[],"published":{"date-parts":[[2002,6,1]]}}}