From f795904778571abc99a6973168c3c8987048163e Mon Sep 17 00:00:00 2001 From: Jane Tournois Date: Tue, 26 Nov 2024 10:43:04 +0100 Subject: [PATCH] news Mesh_3 --- _posts/2024-12-01-mesh3-improvements.md | 49 +++++++++++------------- images/mesh3_edge_distance_stool.png | Bin 0 -> 1532510 bytes 2 files changed, 23 insertions(+), 26 deletions(-) create mode 100644 images/mesh3_edge_distance_stool.png diff --git a/_posts/2024-12-01-mesh3-improvements.md b/_posts/2024-12-01-mesh3-improvements.md index 9d248a8b5..5b2527db1 100644 --- a/_posts/2024-12-01-mesh3-improvements.md +++ b/_posts/2024-12-01-mesh3-improvements.md @@ -19,19 +19,12 @@ Lately, CGAL authors have focused more on the quality of the output mesh, the ab mesh generation algorithm to represent the input surface in a more accurate way, for a wider range of input data types.

- -

Recent releases of CGAL have introduced improvements to the 3D Tetrahedral Mesh Generation package: detection and protection of triple lines from labeled images, generation and use of weighted labeled images, -a new approximation error criterion for polyline features, -and the ability to deal with self-intersecting input surfaces.

+and a new approximation error criterion for polyline features.

+

Triple lines from labeled images

@@ -39,10 +32,13 @@ and the ability to deal with self-intersecting input surfaces.

CGAL's tetrahedral mesh generation algorithm is able to compute tetrahedral meshes from 3D segmented images. For all types of inputs, detection and construction of one-dimensional features must be done a priori for the feature protection algorithm to be able to represent them properly in the generated mesh. -In 3D segmented images, such features correspond to the intersections of the bounding box of the image with the surfaces defined by the image, as well as polylines that lie at the intersection of three or more subdomains (including the outside).

+In 3D segmented images, such features correspond to the intersections of the bounding box of the image with the surfaces +defined by the image, as well as polylines that lie at the intersection of three or more subdomains (including the outside).

The article -Hege, H. C., Seebass, M., Stalling, D., & Zöckler, M. (1997), A generalized marching cubes algorithm based on non-binary classifications, provides a list of possible voxel configurations. This description has been generalized for tetrahedral mesh generation needs, and +Hege, H. C., Seebass, M., Stalling, D., & Zöckler, M. (1997), +A generalized marching cubes algorithm based on non-binary classifications, provides a list of possible voxel configurations. +This description has been generalized for tetrahedral mesh generation needs, and implemented in CGAL.

After feature lines detection, similarly to what is done for polyhedral surfaces, the polyline features @@ -50,9 +46,9 @@ are added to the feature graph of the domain for feature protection.

Two detection functors are provided :

@@ -72,9 +68,10 @@ are added to the feature graph of the domain for feature protection.

When a segmented image is given as input for tetrahedral mesh generation, the generated mesh surface sometimes sticks too closely to the voxels surface, causing an aliasing effect. A solution to generate a smooth and accurate output surface was described by Stalling et al in -Stalling, D., Zöckler, M., Sander, O., & Hege, H. C. (1998), Weighted labels for 3D image segmentation. +Stalling, D., Zöckler, M., Sander, O., & Hege, H. C. (1998), +Weighted labels for 3D image segmentation. It consists in generating a second input image, made of integer coefficients called weights, and use those weights to define -smoother domain boundaries. The 3D image of weights can be generated using CGAL::Mesh_3::generate_label_weights().

+smoother domain boundaries. The 3D image of weights can be generated by CGAL::Mesh_3::generate_label_weights().


@@ -83,7 +80,7 @@ smoother domain boundaries. The 3D image of weights can be generated using CG

-

The following example shows how to use weighted labeled images: mesh_3D_weighted_image.cpp.

+

The following example shows how to use weighted labeled images: mesh_3D_weighted_image.cpp.

Utilizing tetrahedral mesh generation from labeled images, incorporating both feature detection and weighted labels, presents challenges. A new method that combines feature detection and weighted labels has been @@ -100,22 +97,22 @@ The list of CGAL meshing criteria has been enriched with a new criterion that en define an upper bound on the distance between the input feature graph and the output feature edges.

The following example shows how to use this new criterion, called edge_distance: - + mesh_polyhedral_domain_with_edge_distance.cpp.

-#TODO : add image here to illustrate edge_distance - -
-

Self-intersecting input surfaces

- -#TODO : write another news entry on that topic +
+
+
Mesh generation from polyhedral surface with varying edge_distance meshing criterion. + The quality improvement is important on the lower end of stool feet. +

Status

-

All these new improvements are already integrated in CGAL's master branch on the -CGAL GitHub repository, and has just been officially released -in the latest version of CGAL, CGAL 6.0-beta1.

+

All these new improvements have been integrated in CGAL-6.0.1, which has just been officially released.

+ +CGAL-6.0.1 announcement +
Documentation of the package Mesh_3
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