Stripe embedding: Efficient maps with exact numeric computation
M Livesu - ACM Transactions on Graphics (TOG), 2024 - dl.acm.org
We consider the fundamental problem of injectively map** a surface mesh with disk
topology onto a boundary constrained convex domain. We start from the basic observation …
topology onto a boundary constrained convex domain. We start from the basic observation …
Bijective volumetric map** via star decomposition
S Hinderink, H Brückler, M Campen - ACM Transactions on Graphics …, 2024 - dl.acm.org
A method for the construction of bijective volumetric maps between 3D shapes is presented.
Arbitrary shapes of ball-topology are supported, overcoming restrictions of previous methods …
Arbitrary shapes of ball-topology are supported, overcoming restrictions of previous methods …
A progressive embedding approach to bijective tetrahedral maps driven by cluster mesh topology
We present a novel algorithm to map ball-topology tetrahedral meshes onto star-shaped
domains with guarantees regarding bijectivity. Our algorithm is based on the recently …
domains with guarantees regarding bijectivity. Our algorithm is based on the recently …
Hemispheroidal parameterization and harmonic decomposition of simply connected open surfaces
Spectral analysis of open surfaces is gaining momentum for studying surface morphology in
engineering, computer graphics, and medical domains. This analysis is enabled using …
engineering, computer graphics, and medical domains. This analysis is enabled using …
Advancing Front Surface Map**
M Livesu - Computer Graphics Forum, 2024 - Wiley Online Library
Abstract We present Advancing Front Map** (AFM), a novel algorithm for the computation
of injective maps to simple planar domains. AFM is inspired by the advancing front meshing …
of injective maps to simple planar domains. AFM is inspired by the advancing front meshing …
Mesh Parameterization Meets Intrinsic Triangulations
K Akalin, U Finnendahl… - Computer Graphics …, 2024 - Wiley Online Library
A parameterization of a triangle mesh is a realization in the plane so that all triangles have
positive signed area. Triangle mesh parameterizations are commonly computed by …
positive signed area. Triangle mesh parameterizations are commonly computed by …
To What Extent Are Existing Volume Map** Algorithms Practically Useful?
Map**s between geometric domains play a crucial role in many algorithms in geometry
processing and are heavily used in various applications. Despite the significant progress …
processing and are heavily used in various applications. Despite the significant progress …