In September 2024 I started my MSc. Thesis on tackling the correspondence problem for Boomerang like shapes. I will approach this from the 3d geometry perspective. I will include a growing list of papers which I am reading for my thesis. Have a read if you’re interested.
Batch 1 – week 1
A very basic introduction to the geometry of planar curves (first chapter in the course notes):
https://ddg.math.uni-goettingen.de/pub/SiggraphAsia2008DDGCourse.pdf
Course notes of Keenan Crane’s Discrete Differential Geometry course (only the lectures on smooth and discrete curves):
https://brickisland.net/ddg-web
Shape spaces of elastic curves:
https://link.springer.com/article/10.1007/s11263-006-9968-0
A broaden your view link to see how planar cross sections can be used in shape design:
https://pub.ista.ac.at/~chafner/ElasticCurves2021/elastic-curves-paper.pdf
Batch 2 – week 7
A introduction to parameterization of surfaces:
https://pages.saclay.inria.fr/mathieu.desbrun/pubs/DMA02.pdf
https://www.pmp-book.org/download/slides/Parametrization.pdf (or book: https://www.pmp-book.org/ )
Boundary flattening (related work):
https://www.cs.cmu.edu/~kmcrane/Projects/BoundaryFirstFlattening/paper.pdf
Batch 3 – week 8
Slides on Surface Parameterization:
http://graphics.stanford.edu/courses/cs468-10-fall/LectureSlides/12_Parameterization1.pdf
http://graphics.stanford.edu/courses/cs468-10-fall/LectureSlides/13_Parameterization2.pdf
https://www.inf.usi.ch/faculty/hormann/parameterization/CourseNotes.pdf
https://crl.ethz.ch/teaching/shape-modeling-18/lectures/05_Mappings.pdf
https://graphics.stanford.edu/courses/cs468-05-fall/Papers/param-survey.pdf