Efficient Topology-Controlled Sampling of Implicit Shapes

05/16/2012
by   Jason Chang, et al.
0

Sampling from distributions of implicitly defined shapes enables analysis of various energy functionals used for image segmentation. Recent work describes a computationally efficient Metropolis-Hastings method for accomplishing this task. Here, we extend that framework so that samples are accepted at every iteration of the sampler, achieving an order of magnitude speed up in convergence. Additionally, we show how to incorporate topological constraints.

READ FULL TEXT

page 3

page 8

page 9

research
01/26/2021

Neural Geometric Level of Detail: Real-time Rendering with Implicit 3D Shapes

Neural signed distance functions (SDFs) are emerging as an effective rep...
research
06/08/2023

Entropy-based Training Methods for Scalable Neural Implicit Sampler

Efficiently sampling from un-normalized target distributions is a fundam...
research
08/12/2020

The Topology of Shapes Made with Points

In architecture, city planning, visual arts, and other design areas, sha...
research
10/15/2015

Shape Complexes in Continuous Max-Flow Hierarchical Multi-Labeling Problems

Although topological considerations amongst multiple labels have been pr...
research
01/27/2015

Parametric Image Segmentation of Humans with Structural Shape Priors

The figure-ground segmentation of humans in images captured in natural e...
research
03/30/2022

Meta-Sampler: Almost-Universal yet Task-Oriented Sampling for Point Clouds

Sampling is a key operation in point-cloud task and acts to increase com...
research
07/03/2022

On shape and topological optimization problems with constraints Helmholtz equation and spectral problems

Coastal erosion describes the displacement of sand caused by the movemen...

Please sign up or login with your details

Forgot password? Click here to reset