NDLI: Constructive modeling of FRep solids using spline volumes

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Constructive modeling of FRep solids using spline volumes

Content Provider	ACM Digital Library
Author	Benjamin, Schmitt Alexander, Pasko Christophe, Schlick
Abstract	We present an approach to constructive modeling of FRep solids [2] defined by real-valued functions using 4D uniform rational cubic Bspline volumes as primitives. While the first three coordinates are used to represent the spatial component of the volume to be sculpted, the fourth coordinate is used as a scalar, which corresponds to a function value or a volume density. Thus, the shape can be manipulated by changing the scalar control coefficients of the spline volume. This modeling process is interactive as the isosurface can be polygonized and visualized in real time. The distance property we obtain, combined with the properties of the spline volumes, allow us to use the resulting 3D solid as a leaf of a constructive tree and to apply to it set-theoretic, blending and other operations defined using R-functions [2]. Additional deformations can be achieved by moving arbitrary points in the coordinate space and applying space mapping at any level of the constructive tree. The final constructive solid is defined by a single real-valued function evaluated by the tree traversing procedure.
Starting Page	321
Ending Page	322
Page Count	2
File Format	PDF
ISBN	1581133669
DOI	10.1145/376957.377003
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2001-05-01
Publisher Place	New York
Access Restriction	Subscribed
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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