Can Bi-cubic Surfaces be Class A?

Loading...
Thumbnail Image
Date
2015
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and John Wiley & Sons Ltd.
Abstract
Class A surface' is a term in the automotive design industry, describing spline surfaces with aesthetic, non- oscillating highlight lines. Tensor-product B-splines of degree bi-3 (bicubic) are routinely used to generate smooth design surfaces and are often the de facto standard for downstream processing. To bridge the gap, this paper explores and gives a concrete suggestion, how to achieve good highlight line distributions for irregular bi-3 tensor-product patch layout by allowing, along some seams, a slight mismatch of normals below the industry- accepted tolerance of one tenth of a degree. Near the irregularities, the solution can be viewed as transforming a higher-degree, high-quality formally smooth surface into a bi-3 spline surface with few pieces, sacrificing formal smoothness but qualitatively retaining the shape.
Description

        
@article{
10.1111:cgf.12711
, journal = {Computer Graphics Forum}, title = {{
Can Bi-cubic Surfaces be Class A?
}}, author = {
Karciauskas, Kestutis
and
Peters, Jörg
}, year = {
2015
}, publisher = {
The Eurographics Association and John Wiley & Sons Ltd.
}, DOI = {
10.1111/cgf.12711
} }
Citation