Variational Surface Cutting. Nicholas Sharp and Keenan Crane. ACM Trans. on Graph. (2018)
~kmcrane/Projects/VariationalCuts/
This paper develops a global variational approach to cutting curved surfaces so that they can be flattened into the plane with low metric distortion. Such cuts are a critical component in a variety of algorithms that seek to parameterize surfaces over flat domains, or fabricate structures from flat materials. Rather than evaluate the quality of a cut solely based on properties of the curve itself (e.g., its length or curvature), we formulate a flow that directly optimizes the distortion induced by cutting and flattening. Notably, we do not have to explicitly parameterize the surface in order to evaluate the cost of a cut, but can instead integrate a simple evolution equation defined on the cut curve itself. We arrive at this flow via a novel application of shape derivatives to the Yamabe equation from conformal geometry. We then develop an Eu
1 view
261
65
1 month ago 01:29:19 1
Cinema 4D Particles: Explore with Andy Needham – Demystifying Post-Production – Week 4
1 month ago 00:01:00 1
MADRIX @ Facade Lighting Design | The Wings by Ghelamco in Belgium
1 month ago 00:05:49 1
3D Printed Jinx from ARCANE | League of Legends
2 months ago 00:06:46 1
3D Printed JURI wearing her Pajamas | Street Fighter 6
2 months ago 00:15:24 1
How to Create Ultra Realistic Skin in Blender - Full Humanify Video Tutorial
2 months ago 00:06:24 1
HOW TO Make Realistic Humans in Blender in 5 Minutes! Blender 3D (Tutorial)
2 months ago 00:01:08 17
Variator Cap
2 months ago 00:20:41 1
Tulip Flower Canes | Polymer Clay Cane Tutorial
2 months ago 00:00:53 7
Approaching Earth: Sound of BepiColombo Earth Flyby