三角形 格上的曲率估计软件

Computes curvature and curvature derivative tensors in each vertex of a triangle meshes

软件应用简介

Computes curvature and curvature derivative tensors in each vertex of a triangle meshes

If you use it for academic purposes please cite :

1. “Estimating Curvatures and Their Derivatives on Triangle Meshes” by Szymon Rusinkiewicz (2004)

2. Y. Ben Shabat, A. Fischer, “Design of Adaptive Porous Micro-structures using curvature analysis for Additive Manufacturing” the 25th CIRP Design conference. 2015, Haifa, Israel.

This code was implemented according to [1].

GetCurvatures computes the curvature tensor and the principal curvatures at

%each vertex of a mesh given in a face vertex data structure

%INPUT:

-FV -struct – Triangle mesh face vertex data structure (containing FV.face and

FV.Vertices)

-toggleDerivatives – scalar 1 or 0 indicating whether or not to calculate curvature derivatives

%OUTPUT:

-PrincipalCurvatures – 2XN matrix (where N is the number of vertices containing the principal curvatures k1 and k2 at each vertex

-PrincipalDir1 – NX3 matrix containing the direction of the k1 principal

curvature.

-PrincipalDir2 – NX3 matrix containing the direction of the k2 principal curvature.

-FaceCMatrix – 4XM matrix (where M is the number of faces) containing the 4

%coefficients of the curvature tensr of each face

VertexCMatrix- 4XN matrix (where M is the number of faces) containing the 4 coefficients of the curvature tensor of each tensor.

-Cmagnitude – NX1 matrix containing the square sum of the curvature tensor coefficients at each vertex (invariant scalar indicating the change of curvature)

界面展示

结果示意

规格 价