Analytic Definition of Curves and Surfaces by Parabolic Blending

03/22/2005
by   A. W. Overhauser, et al.
0

A procedure for interpolating between specified points of a curve or surface is described. The method guarantees slope continuity at all junctions. A surface panel divided into p x q contiguous patches is completely specified by the coordinates of (p+1) x (q+1) points. Each individual patch, however, depends parametrically on the coordinates of 16 points, allowing shape flexibility and global conformity.

READ FULL TEXT
POST COMMENT

Comments

There are no comments yet.

Authors

page 1

page 2

page 3

page 4

02/03/2016

Smooth surface interpolation using patches with rational offsets

We present a new method for the interpolation of given data points and a...
09/08/2021

Iterative Respacing of Polygonal Curves

A polygonal curve is a collection of m connected line segments specified...
02/07/2015

Marching Surfaces: Isosurface Approximation using G^1 Multi-Sided Surfaces

Marching surfaces is a method for isosurface extraction and approximatio...
02/25/2020

G^1 hole filling with S-patches made easy

S-patches have been around for 30 years, but they are seldom used, and a...
11/26/2021

Medial Spectral Coordinates for 3D Shape Analysis

In recent years there has been a resurgence of interest in our community...
08/03/2020

Low-loss connection of weight vectors: distribution-based approaches

Recent research shows that sublevel sets of the loss surfaces of overpar...
02/25/2020

Computationally efficient transfinite patches with fullness control

Transfinite patches provide a simple and elegant solution to the problem...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.