The Scale Method for Blending Operations in Functionally-Based Constructive Geometry

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dc.contributor.authorHsu, P.-C.en_US
dc.contributor.authorLee, C.en_US
dc.date.accessioned2015-02-16T07:31:55Z
dc.date.available2015-02-16T07:31:55Z
dc.date.issued2003en_US
dc.description.abstractThis paper presents a scale method for developing high dimensional scale functions to blend implicitly defined objects. Scale functions are differentiable on the entire domain except the origin, provide blending range control, and behave like Min/Max operators everywhere, so even a successive composition of blending operations containing overlapped blending regions can be generated smoothly. Because the scale method is a generalized method, implicit or parametric curves, such as cubic Bezier curves, rational conic curves, and implicit conics and hyper-ellipsoids, can be used to develop scale functions. As a result, it can enhance the flexibility of generating the implicitly blending surfaces in Ricci's constructive geometry, soft objects modeling, and implicit sweep objects.ACM CSS: I.3.5 Computer Graphics-Computational Geometry and Object Modeling - Curve, surface, solid and object representationsen_US
dc.description.number2en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume22en_US
dc.identifier.doi10.1111/1467-8659.00656en_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages143-158en_US
dc.identifier.urihttps://doi.org/10.1111/1467-8659.00656en_US
dc.publisherBlackwell Publishers, Inc and the Eurographics Associationen_US
dc.titleThe Scale Method for Blending Operations in Functionally-Based Constructive Geometryen_US
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