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Hierarchical B-spline refinement

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Forsey, David R., Bartels, Richard H.·1988·ACM SIGGRAPH Computer Graphics

Abstract

Refinement is usually advocated as a means of gaining finer control over a spline curve or surface during editing. For curves, refinement is a local process. It permits the change of control vertices and subsequent editing of the detail in one region of the curve while leaving control vertices in other regions unaffected. For tensor-product surfaces, however, refinement is not local in the sense that it causes control vertices far from a region of interest to change as well as changing the control vertices that influence the region. However, with some care and understanding it is possible to restrict the influence of refinement to the locality at which an editing effect is desired. We present a method of localizing the effect of refinement through the use of overlays , which are hierarchically controlled subdivisions. We also introduce two editing techniques that are effective when using overlays: one is direct surface manipulation through the use of edit points and the other is offset referencing of control vertices.

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Metadata

Authors
Forsey, D. R., & Bartels, R. H.
Venue
ACM SIGGRAPH Computer Graphics
Published
1988-06
Volume
22
Issue
4
Pages
205-212
ISSN
0097-8930 (ISSN-L)
OpenAlex
W2038233234
Cited by
624
References
0
FWCI
5.58
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Hierarchical B-spline refinement. https://app.cochat.ai/papers/10.1145/378456.378512
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Forsey, D. R., & Bartels, R. H. (1988). Hierarchical B-spline refinement. ACM SIGGRAPH Computer Graphics. https://doi.org/10.1145/378456.378512

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