The use of multiresolution control toward the editing of freeform curves and surfaces has already been recognized as a valuable modeling tool [1–3]. Similarly, in contemporary computer aided geometric design, the use of constraints to precisely prescribe freeform shape is considered an essential capability [4,5]. This paper presents a scheme that combines multiresolution control with linear constraints into one framework, allowing one to perform multiresolution manipulation of nonuniform B-spline curves, while specifying and satisfying various linear constraints on the curves. Positional, tangential, and orthogonality constraints are all linear and can be easily incorporated into a multiresolution freeform curve editing environment, as will be shown. Moreover, we also show that the symmetry as well as the area constraints can be reformulated as linear constraints and similarly incorporated. The presented framework is extendible and we also portray this same framework in the context of freeform surfaces.
Skip Nav Destination
Sign In or Register for Account
Article navigation
December 2001
Technical Papers
Multiresolution Curve Editing With Linear Constraints*
Gershon Elber
Gershon Elber
Computer Science Department, Technion, Haifa 32000, Israel
Search for other works by this author on:
Gershon Elber
Computer Science Department, Technion, Haifa 32000, Israel
Contributed by the Computer Aided Product Development (CAPD) Committee for publication in the JOURNAL OF COMPUTING AND INFORMATION SCIENCE IN ENGINEERING. Manuscript received Aug. 2001; revised manuscript received Oct. 2001. Associate Editors: D. Anderson, K. Lee.
J. Comput. Inf. Sci. Eng. Dec 2001, 1(4): 347-355 (9 pages)
Published Online: October 1, 2001
Article history
Received:
August 1, 2001
Revised:
October 1, 2001
Citation
Elber, G. (October 1, 2001). "Multiresolution Curve Editing With Linear Constraints." ASME. J. Comput. Inf. Sci. Eng. December 2001; 1(4): 347–355. https://doi.org/10.1115/1.1430679
Download citation file:
Sign In
13
Views
0
Citations
Get Email Alerts
Cited By
Digital Twin-Driven Human-Centered Design Frameworks for Meeting Sustainability Objectives
J. Comput. Inf. Sci. Eng (June 2021)
Digital Twin-Driven Rapid Customized Design of Board-Type Furniture Production Line
J. Comput. Inf. Sci. Eng (June 2021)
A Study of Human Balance and Coordination Using a Head Mounted Display
J. Comput. Inf. Sci. Eng
Related Articles
Use of Topological Constraints in Construction and Processing of Robust Solid Models
J. Comput. Inf. Sci. Eng (December,2001)
Solution Selectors: A User-Oriented Answer to the Multiple Solution Problem in Constraint Solving
J. Mech. Des (September,2003)
CADDAC: Multi-Client Collaborative Shape Design System with Server-based Geometry Kernel
J. Comput. Inf. Sci. Eng (June,2003)
Wavelet SDF-Reps: Solid Modeling With Volumetric Scans
J. Comput. Inf. Sci. Eng (September,2009)
Related Proceedings Papers
Related Chapters
Computer Aided Geometric Modelling
Computer Aided Design and Manufacturing
Managing Energy Resources from within the Corporate Information Technology System
Industrial Energy Systems
Computer-Aided Design of Control System for Thermal Process Generated by Electromechanical Converter
International Conference on Instrumentation, Measurement, Circuits and Systems (ICIMCS 2011)