Design with Nonlinear Constraints

Handle URI:
http://hdl.handle.net/10754/583926
Title:
Design with Nonlinear Constraints
Authors:
Tang, Chengcheng ( 0000-0002-4875-6670 )
Abstract:
Most modern industrial and architectural designs need to satisfy the requirements of their targeted performance and respect the limitations of available fabrication technologies. At the same time, they should reflect the artistic considerations and personal taste of the designers, which cannot be simply formulated as optimization goals with single best solutions. This thesis aims at a general, flexible yet e cient computational framework for interactive creation, exploration and discovery of serviceable, constructible, and stylish designs. By formulating nonlinear engineering considerations as linear or quadratic expressions by introducing auxiliary variables, the constrained space could be e ciently accessed by the proposed algorithm Guided Projection, with the guidance of aesthetic formulations. The approach is introduced through applications in different scenarios, its effectiveness is demonstrated by examples that were difficult or even impossible to be computationally designed before. The first application is the design of meshes under both geometric and static constraints, including self-supporting polyhedral meshes that are not height fields. Then, with a formulation bridging mesh based and spline based representations, the application is extended to developable surfaces including origami with curved creases. Finally, general approaches to extend hard constraints and soft energies are discussed, followed by a concluding remark outlooking possible future studies.
Advisors:
Pottmann, Helmut ( 0000-0002-3195-9316 )
Committee Member:
Wonka, Peter ( 0000-0003-0627-9746 ) ; Markowich, Peter; Pauly, Mark
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Program:
Computer Science
Issue Date:
10-Dec-2015
Type:
Dissertation
Appears in Collections:
Dissertations; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.advisorPottmann, Helmuten
dc.contributor.authorTang, Chengchengen
dc.date.accessioned2015-12-15T06:15:09Zen
dc.date.available2015-12-15T06:15:09Zen
dc.date.issued2015-12-10en
dc.identifier.urihttp://hdl.handle.net/10754/583926en
dc.description.abstractMost modern industrial and architectural designs need to satisfy the requirements of their targeted performance and respect the limitations of available fabrication technologies. At the same time, they should reflect the artistic considerations and personal taste of the designers, which cannot be simply formulated as optimization goals with single best solutions. This thesis aims at a general, flexible yet e cient computational framework for interactive creation, exploration and discovery of serviceable, constructible, and stylish designs. By formulating nonlinear engineering considerations as linear or quadratic expressions by introducing auxiliary variables, the constrained space could be e ciently accessed by the proposed algorithm Guided Projection, with the guidance of aesthetic formulations. The approach is introduced through applications in different scenarios, its effectiveness is demonstrated by examples that were difficult or even impossible to be computationally designed before. The first application is the design of meshes under both geometric and static constraints, including self-supporting polyhedral meshes that are not height fields. Then, with a formulation bridging mesh based and spline based representations, the application is extended to developable surfaces including origami with curved creases. Finally, general approaches to extend hard constraints and soft energies are discussed, followed by a concluding remark outlooking possible future studies.en
dc.language.isoenen
dc.subjectComputational designen
dc.subjectapplied geometryen
dc.subjectComputer aided designen
dc.subjectComputer Graphicsen
dc.subjectguided projectionen
dc.subjectnonlinear constraintsen
dc.titleDesign with Nonlinear Constraintsen
dc.typeDissertationen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
thesis.degree.grantorKing Abdullah University of Science and Technologyen_GB
dc.contributor.committeememberWonka, Peteren
dc.contributor.committeememberMarkowich, Peteren
dc.contributor.committeememberPauly, Marken
thesis.degree.disciplineComputer Scienceen
thesis.degree.nameDoctor of Philosophyen
dc.person.id101900en

Version History

VersionItem Editor Date Summary
1 10754/583926aida hoteit2015-12-15 06:15:09.0null
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.