Can bi-cubic surfaces be class A?

'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 p...

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Vydané v:Computer graphics forum Ročník 34; číslo 5; s. 229 - 238
Hlavní autori: Karčiauskas, Kęstutis, Peters, Jörg
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Oxford Blackwell Publishing Ltd 01.08.2015
Predmet:
Analysis
Automobile industry
Automotive components
Automotive industry
Categories and Subject Descriptors (according to ACM CCS)
Highlight lines
I.x.y [Computer Graphics]: Generation-Surface generation
Image processing systems
Product design
Seams
Smoothness
Splines
Studies
Tolerances
Topological manifolds
ISSN:0167-7055, 1467-8659
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Popis
Shrnutí:'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.
Bibliografia:ArticleID:CGF12711
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ObjectType-Feature-1
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ISSN:0167-7055
1467-8659
DOI:10.1111/cgf.12711