The restricted projection problems

Given a non-degenerate smooth curve 𝛾 : [0, 1] → R³, its tangent directions form a one-dimensional family of lines and its normal directions form a one-dimensional family of planes. In this thesis, I study the orthogonal projections of any set 𝐴 ⊂ R³ onto these restricted family of lines or planes.

Name thesis:degree_name

Doctoral

Department dc:contributor.department

Massachusetts Institute of Technology. Department of Mathematics

Grantor dc:publisher

Massachusetts Institute of Technology

Year dc:date.issued

2023

Author dc:creator

• Gan, Shengwen

Advisor dc:contributor.advisor

• Guth, Larry

Statement dc:rights

• In Copyright - Educational Use Permitted
• Copyright retained by author(s)

Licence dc:rights.uri

• https://rightsstatements.org/page/InC-EDU/1.0/

Handle dc:identifier.uri

https://hdl.handle.net/1721.1/151310

OAI identifier oai:identifier

oai:dspace.mit.edu:1721.1/151310