Projection, design, and representation of curves on B-spline surfaces

In an interactive design process, tools that provide visual feedback on the design model are highly valuable. This research explores a specific topic of graphical visualization and geometric modeling. An approach dealing with projecting and mapping plane curves onto a B-spline surface is presented. The curve is mapped onto the surface using normal projection. All points on the curve are projected onto the surface in the direction of the plane normal. Intersections of projected lines and the surface patches are then found. For an open surface, the curve need not be contained in the interior of the design surface, for if it is mapped out of the surface boundaries, a novel approach has been devised to determine the appropriate edge boundaries of the surface to close the out-of-bounds mapped curve. The issue of mapping curves onto a surface provides a means of attaining a higher level of detailed visualization in a design process, such as the visual feedback on the placement of control surfaces on aircraft wings in an aircraft conceptual design process. The mapped curves can also be treated as trim curves on the surface. This research also proposes an idea for approximating the trim curve with the iso-parametric line segments of the surface to address a probable solution to the many problems facing geometrical surface trimming. The complete curve mapping process has been implemented in the conceptual aircraft design software ACSYNT (AirCraft SYNThesis).

Name thesis:degree_name

Master of Science

Level thesis:degree_level

masters

Discipline thesis:degree_discipline

Mechanical Engineering

Department dc:contributor.department

Mechanical Engineering

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

1992

Author dc:creator

• Tjung, Jie Wen

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Language dc:language.iso

en

Dc Identifier Other

etd-03042009-040805

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/41412