{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T15:44:54Z","timestamp":1648741494888},"reference-count":31,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[1996,4,1]],"date-time":"1996-04-01T00:00:00Z","timestamp":828316800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["The Visual Computer"],"published-print":{"date-parts":[[1996,4]]},"DOI":"10.1007\/bf01782319","type":"journal-article","created":{"date-parts":[[2005,6,19]],"date-time":"2005-06-19T15:44:47Z","timestamp":1119195887000},"page":"159-172","source":"Crossref","is-referenced-by-count":0,"title":["Use of potential functions in 3D rendering of fractal images from complex functions"],"prefix":"10.1007","volume":"12","author":[{"given":"Young Bong","family":"Kim","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hyoung Seok","family":"Kim","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hong Oh","family":"Kim","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sung Yong","family":"Shin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"BF01782319_CR1","volume-title":"Fractals everywhere","author":"M Barnsley","year":"1988","unstructured":"Barnsley M (1988) Fractals everywhere. Academic Press, New York"},{"key":"BF01782319_CR2","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1090\/S0273-0979-1984-15240-6","volume":"11","author":"P Blanchard","year":"1984","unstructured":"Blanchard P (1984) Complex analytic dynamics on the Rieman sphere. Bull Am Math Soc 11:85\u2013141","journal-title":"Bull Am Math Soc"},{"key":"BF01782319_CR3","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1145\/325165.325176","volume":"19","author":"C Bouville","year":"1985","unstructured":"Bouville C (1985) Bounding ellipsoid for ray-fractal intersection. ACM SIGGRAPH 19:45\u201352","journal-title":"ACM SIGGRAPH"},{"key":"BF01782319_CR4","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1090\/psapm\/039\/1010237","volume":"39","author":"B Branner","year":"1989","unstructured":"Branner B (1989) The Mandelbrot set. Proceedings of Symposia in Applied Mathematics 39: 75\u2013105","journal-title":"Proceedings of Symposia in Applied Mathematics"},{"key":"BF01782319_CR5","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1007\/BF02392275","volume":"160","author":"B Branner","year":"1988","unstructured":"Branner B, Hubbard JH (1988) The iteration of cubic polynomials, Par 1: the global topology of parametric space. Acta Math 160: 143\u2013206","journal-title":"Acta Math"},{"key":"BF01782319_CR6","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-4364-9","volume-title":"Complex dynamics","author":"L Carleson","year":"1993","unstructured":"Carleson L, Gamelin TW (1993) Complex dynamics. Springer, New York"},{"key":"BF01782319_CR7","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1007\/BF01211162","volume":"91","author":"J Curry","year":"1983","unstructured":"Curry J, Garnett L, Sullivan D (1983) On the iteration of rational functions: computer experiments with Newton's method. Commun Math Phys 91: 267\u2013277","journal-title":"Commun Math Phys"},{"key":"BF01782319_CR8","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1145\/325165.325245","volume":"19","author":"S Demko","year":"1985","unstructured":"Demko S (1985) Construction of fractal objects with ifs. ACM SIGGRAPH 19: 271\u2013278","journal-title":"ACM SIGGRAPH"},{"key":"BF01782319_CR9","volume-title":"An introduction to chaotic dynamical systems","author":"RL Devaney","year":"1989","unstructured":"Devaney RL (1989) An introduction to chaotic dynamical systems. Addison-Wesley, Menlo Park"},{"key":"BF01782319_CR10","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1016\/0097-8493(93)90056-F","volume":"17","author":"SV Dhurandhar","year":"1993","unstructured":"Dhurandhar SV, Gujar UG (1993) Verification of Z-plane fractal images for \u03b1<0. Comput Graph 17: 89\u201394","journal-title":"Comput Graph"},{"key":"BF01782319_CR11","doi-asserted-by":"crossref","first-page":"389","DOI":"10.1016\/0097-8493(89)90090-3","volume":"13","author":"ID Entwistle","year":"1989","unstructured":"Entwistle ID (1989) Julia set art and fractals in the complex plane. Comput Graph 13: 389\u2013392","journal-title":"Comput Graph"},{"key":"BF01782319_CR12","doi-asserted-by":"crossref","first-page":"371","DOI":"10.1145\/358523.358553","volume":"25","author":"A Fournier","year":"1982","unstructured":"Fournier A, Fussell D, Carpenter L (1982) Computer rendering of stochastic models. Commun ACM 25: 371\u2013384","journal-title":"Commun ACM"},{"key":"BF01782319_CR13","doi-asserted-by":"crossref","first-page":"441","DOI":"10.1016\/0097-8493(91)90015-A","volume":"15","author":"UG Gujar","year":"1991","unstructured":"Gujar UG, Bhavsar VC (1991) Fractals fromz \u2190z \u03b1 +c in the complex plane. Comput Graphics 15: 441\u2013449","journal-title":"Comput Graphics"},{"key":"BF01782319_CR14","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1016\/0097-8493(92)90070-C","volume":"16","author":"UG Gujar","year":"1992","unstructured":"Gujar UG, Bhavsar VC, Vangala N (1992) Fractal images fromz \u2190z \u03b1 +c in the complexz-plane. Comput Graph 16: 45\u201349","journal-title":"Comput Graph"},{"key":"BF01782319_CR15","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1145\/127719.122728","volume":"25","author":"J Hart","year":"1991","unstructured":"Hart J, DeFanti TA (1991) Efficient antialiased rendering of 3-D linear fractals. ACM SIGGRAPH 25: 91\u2013100","journal-title":"ACM SIGGRAPH"},{"key":"BF01782319_CR16","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1145\/74334.74363","volume":"23","author":"JC Hart","year":"1989","unstructured":"Hart JC, Sandin DJ, Kauffman LH (1989) Ray-tracing deterministic 3D fractals. ACM SIGGRAPH 23: 289\u2013296","journal-title":"ACM SIGGRAPH"},{"key":"BF01782319_CR17","volume-title":"Dynamical behaviors of point-mass singular inner functions","author":"HS Kim","year":"1992","unstructured":"Kim HS (1992) Dynamical behaviors of point-mass singular inner functions. PhD Thesis, Korea Advanced Institute of Science and Technology (KAIST), Taejon, Korea"},{"key":"BF01782319_CR18","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1006\/jmaa.1993.1156","volume":"175","author":"HO Kim","year":"1993","unstructured":"Kim HO, Kim HS (1993) Iterations, Denjoy-Wolff points and ergodic properties of point-mass singular inner functions. J Math Anal Appl 175: 105\u2013117","journal-title":"J Math Anal Appl"},{"key":"BF01782319_CR19","first-page":"29","volume-title":"Animation of a blooming flower using a complex function $$\\exp \\left( { - \\alpha \\frac{{\\zeta + z}}{{\\zeta - z}}} \\right) - 1 = 0$$ . Proceeding of Computer Animation '93, Geneva","author":"HS Kim","year":"1993","unstructured":"Kim HS, Kim YB, Kim HK, Kim HO, Shin SY (1993a) Animation of a blooming flower using a complex function $$\\exp \\left( { - \\alpha \\frac{{\\zeta + z}}{{\\zeta - z}}} \\right) - 1 = 0$$ . Proceeding of Computer Animation '93, Geneva. Springer, Berlin Heidelberg New York, pp. 29\u201342"},{"key":"BF01782319_CR20","first-page":"345","volume-title":"Verification of visual characteristics of complex functionsf \u03b1, c(z)=z \u03b1+c","author":"YB Kim","year":"1993","unstructured":"Kim YB, Kim HS, Kim HK, Kim HS, Kim HO, Shin SY (1993b) Verification of visual characteristics of complex functionsf \u03b1, c(z)=z \u03b1+c. Proceeding of Computer Graphics International '93, Lausanne}. Springer, Berlin Heidelberg New York, pp 345\u2013357"},{"key":"BF01782319_CR21","doi-asserted-by":"crossref","first-page":"489","DOI":"10.1016\/0097-8493(93)90038-B","volume":"17","author":"HS Kim","year":"1993","unstructured":"Kim HS, Kim YB, Kim HO, Shin SY (1993c) Fractal image generation by Newton's method for $$\\exp \\left( { - \\alpha \\frac{{\\zeta + z}}{{\\zeta - z}}} \\right) - 1 = 0$$ . Comput Graph 17: 489\u2013494","journal-title":"Comput Graph"},{"key":"BF01782319_CR22","volume-title":"The fractal geometry of nature","author":"BB Mandelbrot","year":"1982","unstructured":"Mandelbrot BB (1982) The fractal geometry of nature. W.H. Freeman, New York"},{"key":"BF01782319_CR23","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1016\/0097-8493(90)90018-S","volume":"14","author":"MA Motyka","year":"1990","unstructured":"Motyka MA, Reiter CA (1990) Chaos and Newton's method on systems. Comput Graph 14: 131\u2013134","journal-title":"Comput Graph"},{"key":"BF01782319_CR24","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1145\/74334.74337","volume":"23","author":"FK Musgrave","year":"1989","unstructured":"Musgrave FK, Kolb CE, Mace RS (1989) The synthesis and rendering of eroded fractal terrains. ACM Comput Graph 23: 41\u201350","journal-title":"ACM Comput Graph"},{"key":"BF01782319_CR25","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1145\/965145.801263","volume":"16","author":"A Norton","year":"1982","unstructured":"Norton A (1982) Generation and display of geometric fractals in 3D. ACM SIGGRAPH 16: 61\u201367","journal-title":"ACM SIGGRAPH"},{"key":"BF01782319_CR26","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1016\/0097-8493(89)90071-X","volume":"13","author":"A Norton","year":"1987","unstructured":"Norton A (1987) Julia sets in the quaternions. Comput Graph 13: 267\u2013278","journal-title":"Comput Graph"},{"key":"BF01782319_CR27","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-61717-1","volume-title":"The beauty of fractals","author":"H-O Peitgen","year":"1986","unstructured":"Peitgen H-O, Richter PH (1986) The beauty of fractals. Springer, New York"},{"key":"BF01782319_CR28","volume-title":"The science of fractal images","year":"1988","unstructured":"Peitgen H-O, Saupe D (eds) (1988) The science of fractal images. Springer, New York"},{"key":"BF01782319_CR29","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-4740-9","volume-title":"Chaos & fractals: new frontiers of science","author":"H-O Peitgen","year":"1992","unstructured":"Peitgen H-O, Jurgens H, Saupe D (1992) Chaos & fractals: new frontiers of science. Springer, New York"},{"key":"BF01782319_CR30","unstructured":"Prusinkiewicz P, Hepting D, Saupe D (1992) Fractals: from folk art to hyperreality, ACM SIGGRAPH Course Notes 12, Chap 3"},{"key":"BF01782319_CR31","first-page":"133","volume-title":"Julia sets ofz \u2190z \u03b1+c","author":"N Vangala","year":"1990","unstructured":"Vangala N, Gujar UG, Bhavsar VC (1990) Julia sets ofz \u2190z \u03b1+c. Proceeding of Computer Graphics International '80, Singapore}. Springer, Berlin Heidelberg New York, pp 133\u2013145"}],"container-title":["The Visual Computer"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01782319.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01782319\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01782319","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,9]],"date-time":"2019-05-09T13:37:38Z","timestamp":1557409058000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01782319"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,4]]},"references-count":31,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1996,4]]}},"alternative-id":["BF01782319"],"URL":"https:\/\/doi.org\/10.1007\/bf01782319","relation":{},"ISSN":["0178-2789","1432-2315"],"issn-type":[{"value":"0178-2789","type":"print"},{"value":"1432-2315","type":"electronic"}],"subject":[],"published":{"date-parts":[[1996,4]]}}}