NDLI: A journey into the fourth dimension (visualization)

Content Provider	IEEE Xplore Digital Library
Author	Ke, Y. Panduranga, E.S.
Copyright Year	1990
Description	Author affiliation: Dept. of Comput. Sci., Saskatchewan Univ., Saskatoon, Sask., Canada (Ke, Y.)
Abstract	It is shown that by a simple (one-way) mapping from quaternions to complex numbers, the problem of generating a four-dimensional Mandelbrot set by iteration of a quadratic function in quaternions can be reduced to iteration of the same function in the complex domain, and thus, the function values in 4-D can be obtained by a simple table lookup. The computations are cut down by an order. Simple ways of displaying the fractal without shading and ways of fast ray tracing such a fractal using the table so generated are discussed. Further speedup in ray tracing can be achieved by estimates of a distance of a point from the Mandelbrot set. Animation is a key factor in visualizing 4-D objects. Three types of animation are attempted: translation in 4-D, rotation in 4-D, and fly-through in 3-D.
Starting Page	219
Ending Page	229
File Size	1499108
Page Count	11
File Format	PDF
ISBN	0818620838
DOI	10.1109/VISUAL.1990.146385
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1990-10-23
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Visualization Fractals Quaternions Animation H infinity control Computer science Table lookup Books Solid modeling Shape
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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