Geometry-Aware Planar Embedding of Treelike Structures

02/21/2022
by   Ping Hu, et al.
0

The growing complexity of spatial and structural information in 3D data makes data inspection and visualization a challenging task. We describe a method to create a planar embedding of 3D treelike structures using their skeleton representations. Our method maintains the original geometry, without overlaps, to the best extent possible, allowing exploration of the topology within a single view. We present a novel camera view generation method which maximizes the visible geometric attributes (segment shape and relative placement between segments). Camera views are created for individual segments and are used to determine local bending angles at each node by projecting them to 2D. The final embedding is generated by minimizing an energy function (the weights of which are user adjustable) based on branch length and the 2D angles, while avoiding intersections. The user can also interactively modify segment placement within the 2D embedding, and the overall embedding will update accordingly. A global to local interactive exploration is provided using hierarchical camera views that are created for subtrees within the structure. We evaluate our method both qualitatively and quantitatively and demonstrate our results by constructing planar visualizations of line data (traced neurons) and volume data (CT vascular and bronchial data

READ FULL TEXT
research
10/16/2018

Segment representations with small resolution

A segment representation of a graph is an assignment of line segments in...
research
04/28/2022

NeurMiPs: Neural Mixture of Planar Experts for View Synthesis

We present Neural Mixtures of Planar Experts (NeurMiPs), a novel planar-...
research
10/01/2013

Global Localization Based on 3D Planar Surface Segments

Global localization of a mobile robot using planar surface segments extr...
research
03/26/2021

Planar Surface Reconstruction from Sparse Views

The paper studies planar surface reconstruction of indoor scenes from tw...
research
07/08/2021

Angles of Arc-Polygons and Lombardi Drawings of Cacti

We characterize the triples of interior angles that are possible in non-...
research
09/17/2018

LMap: Shape-Preserving Local Mappings for Biomedical Visualization

Visualization of medical organs and biological structures is a challengi...
research
12/06/2019

A Simple Dynamization of Trapezoidal Point Location in Planar Subdivisions

We study how to dynamize the Trapezoidal Search Tree - a well known rand...

Please sign up or login with your details

Forgot password? Click here to reset