N-way blending problem of circular quadrics
نویسندگان
چکیده
منابع مشابه
Rational blending surfaces between quadrics
Using tools from classical line geometry and the theory of kinematic mappings, it is possible to define an intrinsic control structure for NURBS curves and surfaces on the sphere, the cylinder and on any projectively equivalent quadratic surface. These methods are further used to construct exact C blends between these surfaces, such that interactive design of trim lines and surface tension is p...
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Construction methods are presented that generate hermite interpolation quaternion curves on SO(3). Two circular curves C 1 (t) and C 2 (t), 0 t 1, are generated that interpolate two orientations q 1 and q 2 , and have boundary angular velocities: C 0 1 (0) = ! 1 and C 0 2 (1) = ! 2 , respectively. They are smoothly blended together on SO(3) to generate a hermite quaternion curve Q(t) 2 SO(3), 0...
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Curvilinear edges and surfaces are developed to span a given logically-cuboid distribution of nodes. The underlying construction uses four successive nodes to de ne a curve spanning the middle pair as follows: One interpolates each of the two successive triples of nodes with the segment of a circle or straight line. Then one blends the two segments continuously between the middle pair of nodes....
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This paper presents a method to smoothly interpolate a given sequence of solid orientations using circular blending quaternion curves. Given three solid orientations, a circular quaternion curve is constructed that interpolates the three orientations. Therefore, given four orientations q i?1 ; q i ; q i+1 ; q i+2 , there are two circular quaternion curves C i and C i+1 which interpolate the tri...
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ژورنال
عنوان ژورنال: Science China Information Sciences
سال: 2010
ISSN: 1674-733X,1869-1919
DOI: 10.1007/s11432-010-4031-8