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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Veröffentlicht in:Computer graphics forum Jg. 34; H. 5; S. 229 - 238
Hauptverfasser: Karčiauskas, Kęstutis, Peters, Jörg
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Oxford Blackwell Publishing Ltd 01.08.2015
Schlagworte:
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
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung:'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.
Bibliographie:ArticleID:CGF12711
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ISSN:0167-7055
1467-8659
DOI:10.1111/cgf.12711