Trimmed Spline Surfaces with Accurate Boundary Control

09/05/2020
by   Florian Martin, et al.
0

We introduce trimmed NURBS surfaces with accurate boundary control, briefly called ABC-surfaces, as a solution to the notorious problem of constructing watertight or smooth (G^1 and G^2) multi-patch surfaces within the function range of standard CAD/CAM systems and the associated file exchange formats. Our construction is based on the appropriate blend of a base surface, which traces out the intended global shape, and a series of reparametrized ribbons, which dominate the shape near the boundary.

READ FULL TEXT

page 24

page 25

page 26

research
08/17/2023

A locally based construction of analysis-suitable G^1 multi-patch spline surfaces

Analysis-suitable G^1 (AS-G^1) multi-patch spline surfaces [4] are parti...
research
04/20/2020

Developable B-spline surface generation from control rulings

An intuitive design method is proposed for generating developable ruled ...
research
09/29/2019

A fast boundary integral method for high-order multiscale mesh generation

In this work we present an algorithm to construct an infinitely differen...
research
09/03/2021

Smooth Surfaces via Nets of Geodesics

This work presents an algorithm for the computation and visualization of...
research
02/24/2023

Isogeometric analysis using G-spline surfaces with arbitrary unstructured quadrilateral layout

G-splines are a generalization of B-splines that deals with extraordinar...
research
07/26/2017

Recursive simplex stars

This paper proposes a new method which approximates a classification fun...
research
06/14/2021

Toward Automatic Interpretation of 3D Plots

This paper explores the challenge of teaching a machine how to reverse-e...

Please sign up or login with your details

Forgot password? Click here to reset